[System] You are an English linguist performing fine-grained Word Sense Disambiguation. WordNet glosses are schematic. Use the sentence context, the examples, and the synonyms to choose the best indexed sense. Do not hedge. Choose the single best indexed sense.

[User]
Target lemma: one
Target surface form: ones
Context:
No student should be permitted to be graduated from elementary school without having mastered the 3 R's at the level that prevailed 20 years ago. This means "tracking, "whose main purpose is less to permit the gifted youngsters to flourish (though that is clearly desirable) than to ensure that the less gifted get the necessary grounding for further study or for entering the modern world of work. The notion that tracking is somehow "undemocratic "is absurd. The purpose of education is to encourage young men and women to realize their full academic potential. No one in his right mind actually believes that we all have an equal academic potential. -- It is generally desirable to use older textbooks -- many of them, alas, out of print -- rather than newer <t>ones</t>. The latter are modish, trendy, often downright silly, and at best insubstantial.

Candidate senses:
1. sense_key=one%1:23:00:: | definition=the smallest whole number or a numeral representing this number | synonyms=1, I, ace, single, unity | examples=he has the one but will need a two and three to go with it; they had lunch at one
2. sense_key=one%1:09:00:: | definition=a single person or thing | examples=he is the best one; this is the one I ordered

Instructions:
1. Choose the single best indexed sense for the target word in context.
2. WordNet glosses are schematic; use the context, synonyms, and examples together.
3. Do not answer with a WordNet sense key.
4. Return only a JSON object exactly like {"sense_index": 3}.

reasoning_content:
The target word is "ones" in the context: "It is generally desirable to use older textbooks -- many of them, alas, out of print -- rather than newer ones."

Here, "ones" is a plural pronoun referring to "textbooks" - it means "newer textbooks." This is the pronoun usage, referring to a single type of thing (textbooks) in the plural.

Looking at the candidate senses:
1. sense_key=one%1:23:00:: - the smallest whole number or a numeral representing this number (synonyms: 1, I, ace, single, unity)
2. sense_key=one%1:09:00:: - a single person or thing (examples: "he is the best one; this is the one I ordered")

Sense 2 is about "a single person or thing" - this is the pronoun/determiner usage. The example "this is the one I ordered" is very similar to "the newer ones" - both use "one(s)" as a pronoun referring back to a previously mentioned noun.

Sense 1 is about the number one, which doesn't fit here at all.

The answer is sense 2, which is sense_index 2.


attempt_kind: initial

status: success

[System] You are an English linguist performing fine-grained Word Sense Disambiguation. WordNet glosses are schematic. Use the sentence context, the examples, and the synonyms to choose the best indexed sense. Do not hedge. Choose the single best indexed sense.

[User]
Target lemma: often
Target surface form: often
Context:
This means "tracking, "whose main purpose is less to permit the gifted youngsters to flourish (though that is clearly desirable) than to ensure that the less gifted get the necessary grounding for further study or for entering the modern world of work. The notion that tracking is somehow "undemocratic "is absurd. The purpose of education is to encourage young men and women to realize their full academic potential. No one in his right mind actually believes that we all have an equal academic potential. -- It is generally desirable to use older textbooks -- many of them, alas, out of print -- rather than newer ones. The latter are modish, trendy, <t>often</t> downright silly, and at best insubstantial. They are based on dubious psychological and sociological theories rather than on educational experience.

Candidate senses:
1. sense_key=often%4:02:00:: | definition=many times at short intervals | synonyms=frequently, oftentimes, oft, ofttimes | examples=we often met over a cup of coffee
2. sense_key=often%4:02:01:: | definition=frequently or in great quantities | synonyms=much, a great deal | examples=I don't drink much; I don't travel much
3. sense_key=often%4:02:02:: | definition=in many cases or instances

Instructions:
1. Choose the single best indexed sense for the target word in context.
2. WordNet glosses are schematic; use the context, synonyms, and examples together.
3. Do not answer with a WordNet sense key.
4. Return only a JSON object exactly like {"sense_index": 3}.

finish_reason: stop

role: assistant

reasoning_content:
The target word is "often" in the context: "The latter are modish, trendy, often downright silly, and at best insubstantial."

The sentence describes a general property or characteristic of "the latter" (newer textbooks). It's saying that newer textbooks tend to be silly - this is a general statement about frequency or tendency, not about repeated events at short intervals.

Sense 1: "many times at short intervals" - this suggests repeated occurrences over time, like "we often met."
Sense 2: "frequently or in great quantities" - this is about amount/quantity, like "I don't drink much."
Sense 3: "in many cases or instances" - this fits a general statement about how things tend to be.

The context is making a general claim about newer textbooks: they are often silly. This is expressing a general tendency - in many cases or instances, they are silly.

Hmm, but let me reconsider. "Often" in this context could also be interpreted as "frequently" (sense 1) meaning the textbooks are frequently silly. But sense 1's gloss specifically says "at short intervals" which implies temporal repetition.

Sense 3 "in many cases or instances" seems to fit best for a general statement about a category of things (newer textbooks) being silly in many cases.

Actually, I think sense 1 is the most standard interpretation. "Often" meaning "frequently" - the textbooks are frequently silly. The "at short intervals" part is just part of the gloss that emphasizes frequency. In natural usage, "often" meaning frequently is the most common sense.

Wait, but the examples for sense 1 are like "we often met over a cup of coffee" - which is about repeated actions. The context here is more about a general property.

Let me look more carefully. "The latter are modish, trendy, often downright silly" - this is saying that in many instances of newer textbooks, they are silly. This is a general claim about a class of objects.

I think sense 3 fits best: "in many cases or instances" - it's saying that in many cases, these textbooks are silly.

Actually, I'm going back and forth. Let me think about this more carefully.

Sense 1: frequently, at short intervals - temporal frequency
Sense 3: in many cases or instances - general tendency/propensity

The sentence is making a general claim: "The latter are [modish, trendy], often [downright silly], and at best insubstantial." This is saying that as a category, newer textbooks have these properties, and frequently (in many cases) they are silly.

I think sense 3 is the best fit here because it's about a general property/tendency of a category rather than repeated temporal events. The author is characterizing a type of thing.

But honestly, sense 1 could also work since "frequently" in a broader sense means "commonly" or "in many instances."

Looking at the definitions again:
- Sense 1: "many times at short intervals" - this is specifically about temporal repetition
- Sense 3: "in many cases or instances" - this is about general frequency across instances

Given the context is about a general characterization of textbooks (not about repeated events), sense 3 seems more appropriate.

I'll go with sense 3.

format: unknown

native_finish_reason: stop

provider: Novita

currency: USD


[System] You are an English linguist performing fine-grained Word Sense Disambiguation. WordNet glosses are schematic. Use the sentence context, the examples, and the synonyms to choose the best indexed sense. Do not hedge. Choose the single best indexed sense.

[User]
Target lemma: dubious
Target surface form: dubious
Context:
The notion that tracking is somehow "undemocratic "is absurd. The purpose of education is to encourage young men and women to realize their full academic potential. No one in his right mind actually believes that we all have an equal academic potential. -- It is generally desirable to use older textbooks -- many of them, alas, out of print -- rather than newer ones. The latter are modish, trendy, often downright silly, and at best insubstantial. They are based on <t>dubious</t> psychological and sociological theories rather than on educational experience. One of the reasons American students do so poorly in math tests, as compared with British, French, German or Japanese students, is the influence of the "New Math "on American textbooks and teaching methods.

Candidate senses:
1. sense_key=dubious%5:00:00:uncertain:02 | definition=fraught with uncertainty or doubt | synonyms=doubtful | examples=they were doubtful that the cord would hold; it was doubtful whether she would be admitted
2. sense_key=dubious%5:00:00:questionable:00 | definition=open to doubt or suspicion; ; ; ; - Karen Horney | synonyms=doubtful, dubitable, in question | examples=the candidate's doubtful past; he has a dubious record indeed
3. sense_key=dubious%5:00:00:unconvinced:00 | definition=not convinced | examples=they admitted the force of my argument but remained dubious

Instructions:
1. Choose the single best indexed sense for the target word in context.
2. WordNet glosses are schematic; use the context, synonyms, and examples together.
3. Do not answer with a WordNet sense key.
4. Return only a JSON object exactly like {"sense_index": 3}.

raw_output: {"sense_index": 2}{"sense_index": 2}

content: {"sense_index": 2}{"sense_index": 2}

reasoning_content:
The word "dubious" in this context refers to psychological and sociological theories that are being criticized. The text is saying these theories are "dubious" - meaning they are questionable, not trustworthy, open to doubt or suspicion. This matches sense 2, which is about being "open to doubt or suspicion" with synonyms "doubtful, dubitable, in question." The example "he has a dubious record indeed" fits well with the context of criticizing theories as being of questionable value.

Sense 1 is about uncertainty/doubt in a more general sense ("fraught with uncertainty or doubt"), which doesn't quite capture the pejorative connotation here.

Sense 2 is the best match.

provider: AtlasCloud


[System] You are an English linguist performing fine-grained Word Sense Disambiguation. WordNet glosses are schematic. Use the sentence context, the examples, and the synonyms to choose the best indexed sense. Do not hedge. Choose the single best indexed sense.

[User]
Target lemma: dubious
Target surface form: dubious
Context:
The notion that tracking is somehow "undemocratic "is absurd. The purpose of education is to encourage young men and women to realize their full academic potential. No one in his right mind actually believes that we all have an equal academic potential. -- It is generally desirable to use older textbooks -- many of them, alas, out of print -- rather than newer ones. The latter are modish, trendy, often downright silly, and at best insubstantial. They are based on <t>dubious</t> psychological and sociological theories rather than on educational experience. One of the reasons American students do so poorly in math tests, as compared with British, French, German or Japanese students, is the influence of the "New Math "on American textbooks and teaching methods.

Candidate senses:
1. sense_key=dubious%5:00:00:uncertain:02 | definition=fraught with uncertainty or doubt | synonyms=doubtful | examples=they were doubtful that the cord would hold; it was doubtful whether she would be admitted
2. sense_key=dubious%5:00:00:questionable:00 | definition=open to doubt or suspicion; ; ; ; - Karen Horney | synonyms=doubtful, dubitable, in question | examples=the candidate's doubtful past; he has a dubious record indeed
3. sense_key=dubious%5:00:00:unconvinced:00 | definition=not convinced | examples=they admitted the force of my argument but remained dubious

Instructions:
1. Choose the single best indexed sense for the target word in context.
2. WordNet glosses are schematic; use the context, synonyms, and examples together.
3. Do not answer with a WordNet sense key.
4. Return only a JSON object exactly like {"sense_index": 3}.

[Assistant] {"sense_index": 2}{"sense_index": 2}

[User] Your previous answer was invalid. Choose one candidate index between 1 and 3. Return only valid JSON exactly like {"sense_index": 1}.

content: {"sense_index": 2}{"sense_index": 2}

reasoning_content: The context is about newer textbooks being based on "dubious" psychological and sociological theories. This means the theories are questionable, open to doubt or suspicion - not trustworthy. This matches sense 2 (open to doubt or suspicion).


[System] You are an English linguist performing fine-grained Word Sense Disambiguation. WordNet glosses are schematic. Use the sentence context, the examples, and the synonyms to choose the best indexed sense. Do not hedge. Choose the single best indexed sense.

[User]
Target lemma: psychological
Target surface form: psychological
Context:
The notion that tracking is somehow "undemocratic "is absurd. The purpose of education is to encourage young men and women to realize their full academic potential. No one in his right mind actually believes that we all have an equal academic potential. -- It is generally desirable to use older textbooks -- many of them, alas, out of print -- rather than newer ones. The latter are modish, trendy, often downright silly, and at best insubstantial. They are based on dubious <t>psychological</t> and sociological theories rather than on educational experience. One of the reasons American students do so poorly in math tests, as compared with British, French, German or Japanese students, is the influence of the "New Math "on American textbooks and teaching methods.

Candidate senses:
1. sense_key=psychological%5:00:00:mental:00 | definition=mental or emotional as opposed to physical in nature | examples=give psychological support; psychological warfare
2. sense_key=psychological%3:01:00:: | definition=of or relating to or determined by psychology | examples=psychological theories

Instructions:
1. Choose the single best indexed sense for the target word in context.
2. WordNet glosses are schematic; use the context, synonyms, and examples together.
3. Do not answer with a WordNet sense key.
4. Return only a JSON object exactly like {"sense_index": 3}.

reasoning_content:
The target word is "psychological" in the context: "They are based on dubious psychological and sociological theories rather than on educational experience."

Here, "psychological" is modifying "theories" and is paired with "sociological." It's referring to theories related to or determined by psychology as a discipline. This matches sense 2: "of or relating to or determined by psychology" with the example "psychological theories."

Sense 1 ("mental or emotional as opposed to physical in nature") doesn't fit as well because it's not about mental vs. physical contrast here—it's about theories belonging to the field of psychology.


[System] You are an English linguist performing fine-grained Word Sense Disambiguation. WordNet glosses are schematic. Use the sentence context, the examples, and the synonyms to choose the best indexed sense. Do not hedge. Choose the single best indexed sense.

[User]
Target lemma: rather
Target surface form: rather
Context:
The notion that tracking is somehow "undemocratic "is absurd. The purpose of education is to encourage young men and women to realize their full academic potential. No one in his right mind actually believes that we all have an equal academic potential. -- It is generally desirable to use older textbooks -- many of them, alas, out of print -- rather than newer ones. The latter are modish, trendy, often downright silly, and at best insubstantial. They are based on dubious psychological and sociological theories <t>rather</t> than on educational experience. One of the reasons American students do so poorly in math tests, as compared with British, French, German or Japanese students, is the influence of the "New Math "on American textbooks and teaching methods.

Candidate senses:
1. sense_key=rather%4:02:02:: | definition=on the contrary | synonyms=instead | examples=rather than disappoint the children, he did two quick tricks before he left; he didn't call; rather (or instead), he wrote her a letter
2. sense_key=rather%4:02:04:: | definition=to some (great or small) extent | synonyms=kind of, kinda, sort of | examples=it was rather cold; the party was rather nice
3. sense_key=rather%4:02:01:: | definition=more readily or willingly | synonyms=preferably, sooner | examples=clean it well, preferably with warm water; I'd rather be in Philadelphia
4. sense_key=rather%4:02:00:: | definition=to a degree (not used with a negative) | synonyms=quite | examples=quite tasty; quite soon

Instructions:
1. Choose the single best indexed sense for the target word in context.
2. WordNet glosses are schematic; use the context, synonyms, and examples together.
3. Do not answer with a WordNet sense key.
4. Return only a JSON object exactly like {"sense_index": 3}.

reasoning_content:
The word "rather" appears in the phrase "rather than" in the sentence: "They are based on dubious psychological and sociological theories rather than on educational experience."

This is a usage of "rather than" meaning "instead of" or "on the contrary" - indicating a preference for one thing over another, or replacing one thing with another.

Looking at the candidate senses:
1. sense_key=rather%4:02:02:: | definition=on the contrary | synonyms=instead | examples=rather than disappoint the children...
2. sense_key=rather%4:02:04:: | definition=to some (great or small) extent
3. sense_key=rather%4:02:01:: | definition=more readily or willingly | synonyms=preferably, sooner
4. sense_key=rather%4:02:00:: | definition=to a degree (not used with a negative)

The context uses "rather than" to mean "instead of" - the theories are based on psychology/sociology rather than (instead of) on educational experience. This matches sense 1, which has the synonym "instead" and the example "rather than disappoint the children..."

The answer is sense_index 1.

provider: Minimax


[System] You are an English linguist performing fine-grained Word Sense Disambiguation. WordNet glosses are schematic. Use the sentence context, the examples, and the synonyms to choose the best indexed sense. Do not hedge. Choose the single best indexed sense.

[User]
Target lemma: educational
Target surface form: educational
Context:
The notion that tracking is somehow "undemocratic "is absurd. The purpose of education is to encourage young men and women to realize their full academic potential. No one in his right mind actually believes that we all have an equal academic potential. -- It is generally desirable to use older textbooks -- many of them, alas, out of print -- rather than newer ones. The latter are modish, trendy, often downright silly, and at best insubstantial. They are based on dubious psychological and sociological theories rather than on <t>educational</t> experience. One of the reasons American students do so poorly in math tests, as compared with British, French, German or Japanese students, is the influence of the "New Math "on American textbooks and teaching methods.

Candidate senses:
1. sense_key=educational%3:01:00:: | definition=relating to the process of education | examples=educational psychology
2. sense_key=educational%5:00:00:instructive:00 | definition=providing knowledge | examples=an educational film

Instructions:
1. Choose the single best indexed sense for the target word in context.
2. WordNet glosses are schematic; use the context, synonyms, and examples together.
3. Do not answer with a WordNet sense key.
4. Return only a JSON object exactly like {"sense_index": 3}.

raw_output: {"sense_index": 1}{"sense_index": 1}

content: {"sense_index": 1}{"sense_index": 1}

reasoning_content:
The target word "educational" appears in the phrase "educational experience" in context discussing textbooks and teaching methods. Let me analyze which sense fits best.

Sense 1: "relating to the process of education" - this is about education as a process/field
Sense 2: "providing knowledge" - this is about something that provides/instructs knowledge

The phrase "educational experience" here refers to experience gained through the process of education - it's contrasting "educational experience" with "dubious psychological and sociological theories." The context is saying that newer textbooks are based on theories rather than on actual experience in the educational process. So "educational" here modifies "experience" to mean "experience in/relating to the process of education."

Sense 1 seems more appropriate - it's describing the type of experience (experience related to the process of education), not an experience that provides knowledge.

The answer is sense 1, which is sense_index 1.


[System] You are an English linguist performing fine-grained Word Sense Disambiguation. WordNet glosses are schematic. Use the sentence context, the examples, and the synonyms to choose the best indexed sense. Do not hedge. Choose the single best indexed sense.

[User]
Target lemma: educational
Target surface form: educational
Context:
The notion that tracking is somehow "undemocratic "is absurd. The purpose of education is to encourage young men and women to realize their full academic potential. No one in his right mind actually believes that we all have an equal academic potential. -- It is generally desirable to use older textbooks -- many of them, alas, out of print -- rather than newer ones. The latter are modish, trendy, often downright silly, and at best insubstantial. They are based on dubious psychological and sociological theories rather than on <t>educational</t> experience. One of the reasons American students do so poorly in math tests, as compared with British, French, German or Japanese students, is the influence of the "New Math "on American textbooks and teaching methods.

Candidate senses:
1. sense_key=educational%3:01:00:: | definition=relating to the process of education | examples=educational psychology
2. sense_key=educational%5:00:00:instructive:00 | definition=providing knowledge | examples=an educational film

Instructions:
1. Choose the single best indexed sense for the target word in context.
2. WordNet glosses are schematic; use the context, synonyms, and examples together.
3. Do not answer with a WordNet sense key.
4. Return only a JSON object exactly like {"sense_index": 3}.

[Assistant] {"sense_index": 1}{"sense_index": 1}

[User] Your previous answer was invalid. Choose one candidate index between 1 and 2. Return only valid JSON exactly like {"sense_index": 1}.

content: {"sense_index": 1}{"sense_index": 1}

reasoning_content:
The target word "educational" appears in the context: "They are based on dubious psychological and sociological theories rather than on educational experience."

Here, "educational experience" means experience related to the process of education - practical, hands-on experience in teaching/learning, as opposed to theoretical psychological and sociological theories. This is about the process of education itself, not about providing knowledge in an informative sense.

Sense 1: "relating to the process of education" - with example "educational psychology"
Sense 2: "providing knowledge" - with example "an educational film"

The context contrasts educational experience (practical, real-world teaching experience) with psychological and sociological theories. This clearly refers to the process of education, so sense 1 is the best fit.


[System] You are an English linguist performing fine-grained Word Sense Disambiguation. WordNet glosses are schematic. Use the sentence context, the examples, and the synonyms to choose the best indexed sense. Do not hedge. Choose the single best indexed sense.

[User]
Target lemma: experience
Target surface form: experience
Context:
The notion that tracking is somehow "undemocratic "is absurd. The purpose of education is to encourage young men and women to realize their full academic potential. No one in his right mind actually believes that we all have an equal academic potential. -- It is generally desirable to use older textbooks -- many of them, alas, out of print -- rather than newer ones. The latter are modish, trendy, often downright silly, and at best insubstantial. They are based on dubious psychological and sociological theories rather than on educational <t>experience</t>. One of the reasons American students do so poorly in math tests, as compared with British, French, German or Japanese students, is the influence of the "New Math "on American textbooks and teaching methods.

Candidate senses:
1. sense_key=experience%1:09:01:: | definition=the accumulation of knowledge or skill that results from direct participation in events or activities | examples=a man of experience; experience is the best teacher
2. sense_key=experience%1:09:00:: | definition=the content of direct observation or participation in an event | examples=he had a religious experience; he recalled the experience vividly
3. sense_key=experience%1:11:00:: | definition=an event as apprehended | examples=a surprising experience; that painful experience certainly got our attention

Instructions:
1. Choose the single best indexed sense for the target word in context.
2. WordNet glosses are schematic; use the context, synonyms, and examples together.
3. Do not answer with a WordNet sense key.
4. Return only a JSON object exactly like {"sense_index": 3}.

reasoning_content:
The context talks about "educational experience" - referring to the knowledge or skill that has been accumulated through practice and direct participation in educational activities. This is not about a specific event being apprehended, but about the broader accumulation of knowledge/skill that comes from being involved in education over time.

Sense 1: "the accumulation of knowledge or skill that results from direct participation in events or activities" - This fits well. Educational experience refers to the accumulated practical knowledge from being in the education field.

Sense 2: "the content of direct observation or participation in an event" - This is more about a specific event's content.

Sense 3: "an event as apprehended" - This is about a specific event.

The phrase "educational experience" here contrasts with "dubious psychological and sociological theories" - it's referring to practical, hands-on accumulated knowledge in education. This is sense 1.


[System] You are an English linguist performing fine-grained Word Sense Disambiguation. WordNet glosses are schematic. Use the sentence context, the examples, and the synonyms to choose the best indexed sense. Do not hedge. Choose the single best indexed sense.

[User]
Target lemma: reason
Target surface form: reasons
Context:
The purpose of education is to encourage young men and women to realize their full academic potential. No one in his right mind actually believes that we all have an equal academic potential. -- It is generally desirable to use older textbooks -- many of them, alas, out of print -- rather than newer ones. The latter are modish, trendy, often downright silly, and at best insubstantial. They are based on dubious psychological and sociological theories rather than on educational experience. One of the <t>reasons</t> American students do so poorly in math tests, as compared with British, French, German or Japanese students, is the influence of the "New Math "on American textbooks and teaching methods. Anyone who wants to appreciate just how bizarre this situation is -- with students who ca not add or subtract "learning "the conceptual basis of mathematical theory -- should read the article by Caleb Nelson (himself a recent math major at Harvard) in the November American Spectator.

Candidate senses:
1. sense_key=reason%1:16:00:: | definition=a rational motive for a belief or action | synonyms=ground | examples=the reason that war was declared; the grounds for their declaration
2. sense_key=reason%1:10:01:: | definition=an explanation of the cause of some phenomenon | examples=the reason a steady state was never reached was that the back pressure built up too slowly
3. sense_key=reason%1:09:00:: | definition=the capacity for rational thought or inference or discrimination | synonyms=understanding, intellect | examples=we are told that man is endowed with reason and capable of distinguishing good from evil
4. sense_key=reason%1:26:00:: | definition=the state of having good sense and sound judgment | synonyms=rationality, reasonableness | examples=his rationality may have been impaired; he had to rely less on reason than on rousing their emotions
5. sense_key=reason%1:10:00:: | definition=a justification for something existing or happening | synonyms=cause, grounds | examples=he had no cause to complain; they had good reason to rejoice
6. sense_key=reason%1:09:01:: | definition=a fact that logically justifies some premise or conclusion | examples=there is reason to believe he is lying

Instructions:
1. Choose the single best indexed sense for the target word in context.
2. WordNet glosses are schematic; use the context, synonyms, and examples together.
3. Do not answer with a WordNet sense key.
4. Return only a JSON object exactly like {"sense_index": 3}.

reasoning_content:
The target word is "reasons" in the sentence: "One of the reasons American students do so poorly in math tests... is the influence of the 'New Math' on American textbooks and teaching methods."

Here, "reasons" refers to a cause or explanation for why American students do poorly in math tests. It's an explanation of a cause for a phenomenon.

Let me look at the candidate senses:

1. sense_key=reason%1:16:00:: | definition=a rational motive for a belief or action | synonyms=ground | examples=the reason that war was declared; the grounds for their declaration
2. sense_key=reason%1:10:01:: | definition=an explanation of the cause of some phenomenon | examples=the reason a steady state was never reached was that the back pressure built up too slowly
3. sense_key=reason%1:09:00:: | definition=the capacity for rational thought or inference or discrimination | synonyms=understanding, intellect
4. sense_key=reason%1:26:00:: | definition=the state of having good sense and sound judgment
5. sense_key=reason%1:10:00:: | definition=a justification for something existing or happening | synonyms=cause, grounds | examples=he had no cause to complain; they had good reason to rejoice
6. sense_key=reason%1:09:01:: | definition=a fact that logically justifies some premise or conclusion | examples=there is reason to believe he is lying

Sense 2 is "an explanation of the cause of some phenomenon" - this fits well. The phenomenon is that American students do poorly in math tests, and the reason given is the influence of the "New Math."

Sense 5 is "a justification for something existing or happening" with synonyms cause, grounds. This could also fit.

Sense 1 is "a rational motive for a belief or action" - this is more about motivation for actions/beliefs.

The context is explaining why a phenomenon occurs (poor math test performance), so sense 2 ("an explanation of the cause of some phenomenon") seems most appropriate. The example "the reason a steady state was never reached was that the back pressure built up too slowly" parallels "One of the reasons American students do so poorly... is the influence of the 'New Math'..."

I'll go with sense 2.


[System] You are an English linguist performing fine-grained Word Sense Disambiguation. WordNet glosses are schematic. Use the sentence context, the examples, and the synonyms to choose the best indexed sense. Do not hedge. Choose the single best indexed sense.

[User]
Target lemma: american
Target surface form: American
Context:
The purpose of education is to encourage young men and women to realize their full academic potential. No one in his right mind actually believes that we all have an equal academic potential. -- It is generally desirable to use older textbooks -- many of them, alas, out of print -- rather than newer ones. The latter are modish, trendy, often downright silly, and at best insubstantial. They are based on dubious psychological and sociological theories rather than on educational experience. One of the reasons <t>American</t> students do so poorly in math tests, as compared with British, French, German or Japanese students, is the influence of the "New Math "on American textbooks and teaching methods. Anyone who wants to appreciate just how bizarre this situation is -- with students who ca not add or subtract "learning "the conceptual basis of mathematical theory -- should read the article by Caleb Nelson (himself a recent math major at Harvard) in the November American Spectator.

Candidate senses:
1. sense_key=american%3:01:01:: | definition=of or relating to the United States of America or its people or language or culture | examples=American citizens; American English
2. sense_key=american%3:01:00:: | definition=of or relating to or characteristic of the continents and islands of the Americas | examples=the American hemisphere; American flora and fauna

Instructions:
1. Choose the single best indexed sense for the target word in context.
2. WordNet glosses are schematic; use the context, synonyms, and examples together.
3. Do not answer with a WordNet sense key.
4. Return only a JSON object exactly like {"sense_index": 3}.

reasoning_content:
The context discusses "American students" performing poorly in math tests compared to "British, French, German or Japanese students." This refers to students in the United States. The sense should be the one referring to the United States of America.

Sense 1: "of or relating to the United States of America or its people or language or culture"
Sense 2: "of or relating to or characteristic of the continents and islands of the Americas"

The first sense is clearly the best match.


[System] You are an English linguist performing fine-grained Word Sense Disambiguation. WordNet glosses are schematic. Use the sentence context, the examples, and the synonyms to choose the best indexed sense. Do not hedge. Choose the single best indexed sense.

[User]
Target lemma: student
Target surface form: students
Context:
The purpose of education is to encourage young men and women to realize their full academic potential. No one in his right mind actually believes that we all have an equal academic potential. -- It is generally desirable to use older textbooks -- many of them, alas, out of print -- rather than newer ones. The latter are modish, trendy, often downright silly, and at best insubstantial. They are based on dubious psychological and sociological theories rather than on educational experience. One of the reasons American <t>students</t> do so poorly in math tests, as compared with British, French, German or Japanese students, is the influence of the "New Math "on American textbooks and teaching methods. Anyone who wants to appreciate just how bizarre this situation is -- with students who ca not add or subtract "learning "the conceptual basis of mathematical theory -- should read the article by Caleb Nelson (himself a recent math major at Harvard) in the November American Spectator.

Candidate senses:
1. sense_key=student%1:18:00:: | definition=a learner who is enrolled in an educational institution | synonyms=pupil, educatee
2. sense_key=student%1:18:01:: | definition=a learned person (especially in the humanities); someone who by long study has gained mastery in one or more disciplines | synonyms=scholar, scholarly person, bookman

Instructions:
1. Choose the single best indexed sense for the target word in context.
2. WordNet glosses are schematic; use the context, synonyms, and examples together.
3. Do not answer with a WordNet sense key.
4. Return only a JSON object exactly like {"sense_index": 3}.

reasoning_content: The context discusses American students' poor performance in math tests, and students who cannot add or subtract. This clearly refers to learners enrolled in educational institutions, not scholars or learned persons.


[System] You are an English linguist performing fine-grained Word Sense Disambiguation. WordNet glosses are schematic. Use the sentence context, the examples, and the synonyms to choose the best indexed sense. Do not hedge. Choose the single best indexed sense.

[User]
Target lemma: so
Target surface form: so
Context:
The purpose of education is to encourage young men and women to realize their full academic potential. No one in his right mind actually believes that we all have an equal academic potential. -- It is generally desirable to use older textbooks -- many of them, alas, out of print -- rather than newer ones. The latter are modish, trendy, often downright silly, and at best insubstantial. They are based on dubious psychological and sociological theories rather than on educational experience. One of the reasons American students do <t>so</t> poorly in math tests, as compared with British, French, German or Japanese students, is the influence of the "New Math "on American textbooks and teaching methods. Anyone who wants to appreciate just how bizarre this situation is -- with students who ca not add or subtract "learning "the conceptual basis of mathematical theory -- should read the article by Caleb Nelson (himself a recent math major at Harvard) in the November American Spectator.

Candidate senses:
1. sense_key=so%4:02:02:: | definition=to a very great extent or degree | examples=the idea is so obvious; never been so happy
2. sense_key=so%4:02:06:: | definition=in a manner that facilitates | examples=he observed the snakes so he could describe their behavior; he stooped down so he could pick up his hat
3. sense_key=so%4:02:05:: | definition=in such a condition or manner, especially as expressed or implied | examples=They're happy and I hope they will remain so; so live your life that old age will bring no regrets
4. sense_key=so%4:02:07:: | definition=to a certain unspecified extent or degree | examples=I can only go so far with this student; can do only so much in a day
5. sense_key=so%4:02:08:: | definition=in the same way; also | examples=I was offended and so was he; worked hard and so did she
6. sense_key=so%4:02:04:: | definition=in the way indicated; ; ; (`thusly' is a nonstandard variant) | synonyms=thus, thusly | examples=hold the brush so; set up the pieces thus
7. sense_key=so%4:02:03:: | definition=(usually followed by `that') to an extent or degree as expressed | examples=he was so tired he could hardly stand; so dirty that it smells
8. sense_key=so%4:02:09:: | definition=subsequently or soon afterward (often used as sentence connectors) | synonyms=then, and so, and then | examples=then he left; go left first, then right
9. sense_key=so%4:02:10:: | definition=(used to introduce a logical conclusion) from that fact or reason or as a result | synonyms=therefore, hence, thence, thus | examples=therefore X must be true; the eggs were fresh and hence satisfactory
10. sense_key=so%4:02:00:: | definition=in truth (often tends to intensify) | synonyms=indeed | examples=they said the car would break down and indeed it did; it is very cold indeed

Instructions:
1. Choose the single best indexed sense for the target word in context.
2. WordNet glosses are schematic; use the context, synonyms, and examples together.
3. Do not answer with a WordNet sense key.
4. Return only a JSON object exactly like {"sense_index": 3}.

content: {"sense_index": 1}{"sense_index": 1}

reasoning_content: The target word "so" appears in the phrase "do so poorly in math tests." Here, "so" is modifying the adverb "poorly" to indicate a very great extent or degree. The phrase means "do very poorly." This matches sense 1: "to a very great extent or degree" with examples like "never been so happy." It's essentially intensifying "poorly."


[System] You are an English linguist performing fine-grained Word Sense Disambiguation. WordNet glosses are schematic. Use the sentence context, the examples, and the synonyms to choose the best indexed sense. Do not hedge. Choose the single best indexed sense.

[User]
Target lemma: so
Target surface form: so
Context:
The purpose of education is to encourage young men and women to realize their full academic potential. No one in his right mind actually believes that we all have an equal academic potential. -- It is generally desirable to use older textbooks -- many of them, alas, out of print -- rather than newer ones. The latter are modish, trendy, often downright silly, and at best insubstantial. They are based on dubious psychological and sociological theories rather than on educational experience. One of the reasons American students do <t>so</t> poorly in math tests, as compared with British, French, German or Japanese students, is the influence of the "New Math "on American textbooks and teaching methods. Anyone who wants to appreciate just how bizarre this situation is -- with students who ca not add or subtract "learning "the conceptual basis of mathematical theory -- should read the article by Caleb Nelson (himself a recent math major at Harvard) in the November American Spectator.

Candidate senses:
1. sense_key=so%4:02:02:: | definition=to a very great extent or degree | examples=the idea is so obvious; never been so happy
2. sense_key=so%4:02:06:: | definition=in a manner that facilitates | examples=he observed the snakes so he could describe their behavior; he stooped down so he could pick up his hat
3. sense_key=so%4:02:05:: | definition=in such a condition or manner, especially as expressed or implied | examples=They're happy and I hope they will remain so; so live your life that old age will bring no regrets
4. sense_key=so%4:02:07:: | definition=to a certain unspecified extent or degree | examples=I can only go so far with this student; can do only so much in a day
5. sense_key=so%4:02:08:: | definition=in the same way; also | examples=I was offended and so was he; worked hard and so did she
6. sense_key=so%4:02:04:: | definition=in the way indicated; ; ; (`thusly' is a nonstandard variant) | synonyms=thus, thusly | examples=hold the brush so; set up the pieces thus
7. sense_key=so%4:02:03:: | definition=(usually followed by `that') to an extent or degree as expressed | examples=he was so tired he could hardly stand; so dirty that it smells
8. sense_key=so%4:02:09:: | definition=subsequently or soon afterward (often used as sentence connectors) | synonyms=then, and so, and then | examples=then he left; go left first, then right
9. sense_key=so%4:02:10:: | definition=(used to introduce a logical conclusion) from that fact or reason or as a result | synonyms=therefore, hence, thence, thus | examples=therefore X must be true; the eggs were fresh and hence satisfactory
10. sense_key=so%4:02:00:: | definition=in truth (often tends to intensify) | synonyms=indeed | examples=they said the car would break down and indeed it did; it is very cold indeed

Instructions:
1. Choose the single best indexed sense for the target word in context.
2. WordNet glosses are schematic; use the context, synonyms, and examples together.
3. Do not answer with a WordNet sense key.
4. Return only a JSON object exactly like {"sense_index": 3}.

[Assistant] {"sense_index": 1}{"sense_index": 1}

[User] Your previous answer was invalid. Choose one candidate index between 1 and 10. Return only valid JSON exactly like {"sense_index": 1}.

content: {"sense_index": 1}{"sense_index": 1}

reasoning_content:
The target word "so" appears in the sentence: "One of the reasons American students do so poorly in math tests..."

Here, "so" modifies the adverb "poorly" and indicates a very great extent or degree. The phrase "do so poorly" means "perform to such a great degree poorly." This matches sense 1: "to a very great extent or degree" with examples like "never been so happy."


[System] You are an English linguist performing fine-grained Word Sense Disambiguation. WordNet glosses are schematic. Use the sentence context, the examples, and the synonyms to choose the best indexed sense. Do not hedge. Choose the single best indexed sense.

[User]
Target lemma: compare
Target surface form: compared
Context:
The purpose of education is to encourage young men and women to realize their full academic potential. No one in his right mind actually believes that we all have an equal academic potential. -- It is generally desirable to use older textbooks -- many of them, alas, out of print -- rather than newer ones. The latter are modish, trendy, often downright silly, and at best insubstantial. They are based on dubious psychological and sociological theories rather than on educational experience. One of the reasons American students do so poorly in math tests, as <t>compared</t> with British, French, German or Japanese students, is the influence of the "New Math "on American textbooks and teaching methods. Anyone who wants to appreciate just how bizarre this situation is -- with students who ca not add or subtract "learning "the conceptual basis of mathematical theory -- should read the article by Caleb Nelson (himself a recent math major at Harvard) in the November American Spectator.

Candidate senses:
1. sense_key=compare%2:31:00:: | definition=examine and note the similarities or differences of | examples=John compared his haircut to his friend's; We compared notes after we had both seen the movie
2. sense_key=compare%2:42:00:: | definition=be comparable | examples=This car does not compare with our line of Mercedes
3. sense_key=compare%2:31:01:: | definition=consider or describe as similar, equal, or analogous | synonyms=liken, equate | examples=We can compare the Han dynasty to the Romans; You cannot equate success in financial matters with greed
4. sense_key=compare%2:32:00:: | definition=to form the comparative or superlative form on an adjective or adverb

Instructions:
1. Choose the single best indexed sense for the target word in context.
2. WordNet glosses are schematic; use the context, synonyms, and examples together.
3. Do not answer with a WordNet sense key.
4. Return only a JSON object exactly like {"sense_index": 3}.

reasoning_content:
The context is: "One of the reasons American students do so poorly in math tests, as compared with British, French, German or Japanese students..."

Here "as compared with" is used to draw a comparison between American students and students from other countries. This is about examining similarities or differences between groups.

Sense 1: "examine and note the similarities or differences of" - This fits well. The sentence is comparing American students' math test performance with that of British, French, German, and Japanese students.

Sense 2: "be comparable" - This is more about whether something measures up (like "This car does not compare with our line of Mercedes"). Not quite right here.

Sense 3: "consider or describe as similar, equal, or analogous" - This is more about likening things, not about examining differences.

Sense 4: This is about comparative forms of adjectives/adverbs, not relevant.

The phrase "as compared with" is examining and noting differences/similarities between two groups. Sense 1 is the best fit.


[System] You are an English linguist performing fine-grained Word Sense Disambiguation. WordNet glosses are schematic. Use the sentence context, the examples, and the synonyms to choose the best indexed sense. Do not hedge. Choose the single best indexed sense.

[User]
Target lemma: student
Target surface form: students
Context:
The purpose of education is to encourage young men and women to realize their full academic potential. No one in his right mind actually believes that we all have an equal academic potential. -- It is generally desirable to use older textbooks -- many of them, alas, out of print -- rather than newer ones. The latter are modish, trendy, often downright silly, and at best insubstantial. They are based on dubious psychological and sociological theories rather than on educational experience. One of the reasons American students do so poorly in math tests, as compared with British, French, German or Japanese <t>students</t>, is the influence of the "New Math "on American textbooks and teaching methods. Anyone who wants to appreciate just how bizarre this situation is -- with students who ca not add or subtract "learning "the conceptual basis of mathematical theory -- should read the article by Caleb Nelson (himself a recent math major at Harvard) in the November American Spectator.

Candidate senses:
1. sense_key=student%1:18:00:: | definition=a learner who is enrolled in an educational institution | synonyms=pupil, educatee
2. sense_key=student%1:18:01:: | definition=a learned person (especially in the humanities); someone who by long study has gained mastery in one or more disciplines | synonyms=scholar, scholarly person, bookman

Instructions:
1. Choose the single best indexed sense for the target word in context.
2. WordNet glosses are schematic; use the context, synonyms, and examples together.
3. Do not answer with a WordNet sense key.
4. Return only a JSON object exactly like {"sense_index": 3}.

content: {"sense_index": 1}{"sense_index": 1}

reasoning_content: The context discusses American students doing poorly in math tests compared with British, French, German or Japanese students. This refers to learners enrolled in educational institutions who take math tests. This is clearly sense 1: "a learner who is enrolled in an educational institution" (pupil, educatee). Sense 2 refers to a learned person/scholar, which doesn't fit the context of students taking math tests.


[System] You are an English linguist performing fine-grained Word Sense Disambiguation. WordNet glosses are schematic. Use the sentence context, the examples, and the synonyms to choose the best indexed sense. Do not hedge. Choose the single best indexed sense.

[User]
Target lemma: student
Target surface form: students
Context:
The purpose of education is to encourage young men and women to realize their full academic potential. No one in his right mind actually believes that we all have an equal academic potential. -- It is generally desirable to use older textbooks -- many of them, alas, out of print -- rather than newer ones. The latter are modish, trendy, often downright silly, and at best insubstantial. They are based on dubious psychological and sociological theories rather than on educational experience. One of the reasons American students do so poorly in math tests, as compared with British, French, German or Japanese <t>students</t>, is the influence of the "New Math "on American textbooks and teaching methods. Anyone who wants to appreciate just how bizarre this situation is -- with students who ca not add or subtract "learning "the conceptual basis of mathematical theory -- should read the article by Caleb Nelson (himself a recent math major at Harvard) in the November American Spectator.

Candidate senses:
1. sense_key=student%1:18:00:: | definition=a learner who is enrolled in an educational institution | synonyms=pupil, educatee
2. sense_key=student%1:18:01:: | definition=a learned person (especially in the humanities); someone who by long study has gained mastery in one or more disciplines | synonyms=scholar, scholarly person, bookman

Instructions:
1. Choose the single best indexed sense for the target word in context.
2. WordNet glosses are schematic; use the context, synonyms, and examples together.
3. Do not answer with a WordNet sense key.
4. Return only a JSON object exactly like {"sense_index": 3}.

[Assistant] {"sense_index": 1}{"sense_index": 1}

[User] Your previous answer was invalid. Choose one candidate index between 1 and 2. Return only valid JSON exactly like {"sense_index": 1}.

content: {"sense_index": 1}{"sense_index": 1}

reasoning_content: The user wants me to choose the best sense for "students" in context. The context discusses American students doing poorly in math tests compared with British, French, German or Japanese students, and mentions textbooks and teaching methods. This clearly refers to learners enrolled in educational institutions, so sense 1 is correct.


[System] You are an English linguist performing fine-grained Word Sense Disambiguation. WordNet glosses are schematic. Use the sentence context, the examples, and the synonyms to choose the best indexed sense. Do not hedge. Choose the single best indexed sense.

[User]
Target lemma: influence
Target surface form: influence
Context:
The purpose of education is to encourage young men and women to realize their full academic potential. No one in his right mind actually believes that we all have an equal academic potential. -- It is generally desirable to use older textbooks -- many of them, alas, out of print -- rather than newer ones. The latter are modish, trendy, often downright silly, and at best insubstantial. They are based on dubious psychological and sociological theories rather than on educational experience. One of the reasons American students do so poorly in math tests, as compared with British, French, German or Japanese students, is the <t>influence</t> of the "New Math "on American textbooks and teaching methods. Anyone who wants to appreciate just how bizarre this situation is -- with students who ca not add or subtract "learning "the conceptual basis of mathematical theory -- should read the article by Caleb Nelson (himself a recent math major at Harvard) in the November American Spectator.

Candidate senses:
1. sense_key=influence%1:07:00:: | definition=a power to affect persons or events especially power based on prestige etc | examples=used her parents' influence to get the job
2. sense_key=influence%1:04:00:: | definition=causing something without any direct or apparent effort
3. sense_key=influence%1:09:00:: | definition=a cognitive factor that tends to have an effect on what you do | examples=her wishes had a great influence on his thinking
4. sense_key=influence%1:19:00:: | definition=the effect of one thing (or person) on another | examples=the influence of mechanical action
5. sense_key=influence%1:18:00:: | definition=one having power to influence another | examples=she was the most important influence in my life; he was a bad influence on the children

Instructions:
1. Choose the single best indexed sense for the target word in context.
2. WordNet glosses are schematic; use the context, synonyms, and examples together.
3. Do not answer with a WordNet sense key.
4. Return only a JSON object exactly like {"sense_index": 3}.

reasoning_content:
The context talks about how the "New Math" affects American textbooks and teaching methods, which in turn causes American students to do poorly in math tests. This is about the effect/impact that the New Math movement has had on American education.

Let me look at the candidate senses:

1. "a power to affect persons or events especially power based on prestige etc" - This is about having power/ability to influence, like using connections.

2. "causing something without any direct or apparent effort" - This is more about indirect influence.

3. "a cognitive factor that tends to have an effect on what you do" - This is about a factor that affects behavior/thinking.

4. "the effect of one thing (or person) on another" - This is about the effect or impact of one thing on another.

5. "one having power to influence another" - This is about a person who has influence.

The context is discussing how the "New Math" has had an effect/impact on American textbooks and teaching methods, which in turn has affected student performance. This is about the effect of one thing (New Math) on another (American education). This fits sense 4: "the effect of one thing (or person) on another."

The example "the influence of mechanical action" is very similar - it's about the effect of one thing on another.

Sense 3 could also be considered since it's about something that affects what you do, but sense 4 is more specifically about the effect of one thing on another, which matches the context better.


[System] You are an English linguist performing fine-grained Word Sense Disambiguation. WordNet glosses are schematic. Use the sentence context, the examples, and the synonyms to choose the best indexed sense. Do not hedge. Choose the single best indexed sense.

[User]
Target lemma: american
Target surface form: American
Context:
The purpose of education is to encourage young men and women to realize their full academic potential. No one in his right mind actually believes that we all have an equal academic potential. -- It is generally desirable to use older textbooks -- many of them, alas, out of print -- rather than newer ones. The latter are modish, trendy, often downright silly, and at best insubstantial. They are based on dubious psychological and sociological theories rather than on educational experience. One of the reasons American students do so poorly in math tests, as compared with British, French, German or Japanese students, is the influence of the "New Math "on <t>American</t> textbooks and teaching methods. Anyone who wants to appreciate just how bizarre this situation is -- with students who ca not add or subtract "learning "the conceptual basis of mathematical theory -- should read the article by Caleb Nelson (himself a recent math major at Harvard) in the November American Spectator.

Candidate senses:
1. sense_key=american%3:01:01:: | definition=of or relating to the United States of America or its people or language or culture | examples=American citizens; American English
2. sense_key=american%3:01:00:: | definition=of or relating to or characteristic of the continents and islands of the Americas | examples=the American hemisphere; American flora and fauna

Instructions:
1. Choose the single best indexed sense for the target word in context.
2. WordNet glosses are schematic; use the context, synonyms, and examples together.
3. Do not answer with a WordNet sense key.
4. Return only a JSON object exactly like {"sense_index": 3}.

reasoning_content: The context discusses "American students" doing poorly in math tests compared to students from other countries, and mentions "American textbooks and teaching methods." This clearly refers to the United States specifically, not the Americas in general. The other countries mentioned (British, French, German, Japanese) confirm this is about the US.


[System] You are an English linguist performing fine-grained Word Sense Disambiguation. WordNet glosses are schematic. Use the sentence context, the examples, and the synonyms to choose the best indexed sense. Do not hedge. Choose the single best indexed sense.

[User]
Target lemma: want
Target surface form: wants
Context:
No one in his right mind actually believes that we all have an equal academic potential. -- It is generally desirable to use older textbooks -- many of them, alas, out of print -- rather than newer ones. The latter are modish, trendy, often downright silly, and at best insubstantial. They are based on dubious psychological and sociological theories rather than on educational experience. One of the reasons American students do so poorly in math tests, as compared with British, French, German or Japanese students, is the influence of the "New Math "on American textbooks and teaching methods. Anyone who <t>wants</t> to appreciate just how bizarre this situation is -- with students who ca not add or subtract "learning "the conceptual basis of mathematical theory -- should read the article by Caleb Nelson (himself a recent math major at Harvard) in the November American Spectator. -- Most important of all, schools should have principals with a large measure of authority over the faculty, the curriculum, and all matters of student discipline.

Candidate senses:
1. sense_key=want%2:37:00:: | definition=feel or have a desire for; want strongly | synonyms=desire | examples=I want to go home now; I want my own room
2. sense_key=want%2:34:00:: | definition=have need of | synonyms=need, require | examples=This piano wants the attention of a competent tuner
3. sense_key=want%2:35:00:: | definition=hunt or look for; want for a particular reason | examples=Your former neighbor is wanted by the FBI; Uncle Sam wants you
4. sense_key=want%2:31:01:: | definition=wish or demand the presence of | examples=I want you here at noon!
5. sense_key=want%2:42:01:: | definition=be without, lack; be deficient in | examples=want courtesy; want the strength to go on living

Instructions:
1. Choose the single best indexed sense for the target word in context.
2. WordNet glosses are schematic; use the context, synonyms, and examples together.
3. Do not answer with a WordNet sense key.
4. Return only a JSON object exactly like {"sense_index": 3}.

reasoning_content:
The sentence is: "Anyone who wants to appreciate just how bizarre this situation is..."

"wants to appreciate" means "desires to appreciate" or "wishes to appreciate." This is about having a desire/wish to do something.

Looking at the candidate senses:
1. feel or have a desire for; want strongly - "I want to go home now"
2. have need of - "This piano wants the attention"
3. hunt or look for - FBI wanted
4. wish or demand the presence of - "I want you here at noon!"
5. be without, lack

The context is "Anyone who wants to appreciate..." - this is expressing a desire to do something (appreciate). Sense 1 fits best: "feel or have a desire for; want strongly" with the pattern "want to [verb]."

Sense 1 is the best match.


[System] You are an English linguist performing fine-grained Word Sense Disambiguation. WordNet glosses are schematic. Use the sentence context, the examples, and the synonyms to choose the best indexed sense. Do not hedge. Choose the single best indexed sense.

[User]
Target lemma: appreciate
Target surface form: appreciate
Context:
No one in his right mind actually believes that we all have an equal academic potential. -- It is generally desirable to use older textbooks -- many of them, alas, out of print -- rather than newer ones. The latter are modish, trendy, often downright silly, and at best insubstantial. They are based on dubious psychological and sociological theories rather than on educational experience. One of the reasons American students do so poorly in math tests, as compared with British, French, German or Japanese students, is the influence of the "New Math "on American textbooks and teaching methods. Anyone who wants to <t>appreciate</t> just how bizarre this situation is -- with students who ca not add or subtract "learning "the conceptual basis of mathematical theory -- should read the article by Caleb Nelson (himself a recent math major at Harvard) in the November American Spectator. -- Most important of all, schools should have principals with a large measure of authority over the faculty, the curriculum, and all matters of student discipline.

Candidate senses:
1. sense_key=appreciate%2:37:00:: | definition=recognize with gratitude; be grateful for
2. sense_key=appreciate%2:31:00:: | definition=be fully aware of; realize fully | synonyms=take account | examples=Do you appreciate the full meaning of this letter?
3. sense_key=appreciate%2:40:00:: | definition=hold dear | synonyms=prize, value, treasure | examples=I prize these old photographs
4. sense_key=appreciate%2:30:00:: | definition=gain in value | synonyms=apprize, apprise, revalue | examples=The yen appreciated again!
5. sense_key=appreciate%2:30:01:: | definition=increase the value of | synonyms=apprize, apprise | examples=The Germans want to appreciate the Deutsche Mark

Instructions:
1. Choose the single best indexed sense for the target word in context.
2. WordNet glosses are schematic; use the context, synonyms, and examples together.
3. Do not answer with a WordNet sense key.
4. Return only a JSON object exactly like {"sense_index": 3}.

reasoning_content:
The sentence is: "Anyone who wants to appreciate just how bizarre this situation is..."

Here, "appreciate" means "to understand or realize how bizarre the situation is" - it's about being fully aware of something. This matches sense 2: "be fully aware of; realize fully" with the example "Do you appreciate the full meaning of this letter?"

It's not about gratitude (sense 1), not about holding dear (sense 3), not about gaining value (sense 4 or 5).


[System] You are an English linguist performing fine-grained Word Sense Disambiguation. WordNet glosses are schematic. Use the sentence context, the examples, and the synonyms to choose the best indexed sense. Do not hedge. Choose the single best indexed sense.

[User]
Target lemma: just
Target surface form: just
Context:
No one in his right mind actually believes that we all have an equal academic potential. -- It is generally desirable to use older textbooks -- many of them, alas, out of print -- rather than newer ones. The latter are modish, trendy, often downright silly, and at best insubstantial. They are based on dubious psychological and sociological theories rather than on educational experience. One of the reasons American students do so poorly in math tests, as compared with British, French, German or Japanese students, is the influence of the "New Math "on American textbooks and teaching methods. Anyone who wants to appreciate <t>just</t> how bizarre this situation is -- with students who ca not add or subtract "learning "the conceptual basis of mathematical theory -- should read the article by Caleb Nelson (himself a recent math major at Harvard) in the November American Spectator. -- Most important of all, schools should have principals with a large measure of authority over the faculty, the curriculum, and all matters of student discipline.

Candidate senses:
1. sense_key=just%4:02:00:: | definition=and nothing more | synonyms=merely, simply, only, but | examples=I was merely asking; it is simply a matter of time
2. sense_key=just%4:02:05:: | definition=indicating exactness or preciseness | synonyms=precisely, exactly | examples=he was doing precisely (or exactly) what she had told him to do; it was just as he said--the jewel was gone
3. sense_key=just%4:02:01:: | definition=only a moment ago | synonyms=just now | examples=he has just arrived; the sun just now came out
4. sense_key=just%4:02:03:: | definition=absolutely | synonyms=simply | examples=I just can't take it anymore; he was just grand as Romeo
5. sense_key=just%4:02:04:: | definition=only a very short time before; ; ; ; ; - W.B.Yeats | synonyms=barely, hardly, scarcely, scarce | examples=they could barely hear the speaker; we hardly knew them
6. sense_key=just%4:02:06:: | definition=exactly at this moment or the moment described | examples=we've just finished painting the walls, so don't touch them

Instructions:
1. Choose the single best indexed sense for the target word in context.
2. WordNet glosses are schematic; use the context, synonyms, and examples together.
3. Do not answer with a WordNet sense key.
4. Return only a JSON object exactly like {"sense_index": 3}.

reasoning_content:
The target word "just" appears in the context: "Anyone who wants to appreciate just how bizarre this situation is..."

Here, "just" is used to emphasize or intensify "how bizarre" - meaning "precisely" or "exactly" how bizarre. This is the sense indicating exactness or preciseness.

Sense 2: "indicating exactness or preciseness" with synonyms "precisely, exactly" and examples like "it was just as he said."

This fits well - "appreciate just how bizarre this situation is" = "appreciate exactly/precisely how bizarre this situation is."

The answer is sense 2.


[System] You are an English linguist performing fine-grained Word Sense Disambiguation. WordNet glosses are schematic. Use the sentence context, the examples, and the synonyms to choose the best indexed sense. Do not hedge. Choose the single best indexed sense.

[User]
Target lemma: situation
Target surface form: situation
Context:
No one in his right mind actually believes that we all have an equal academic potential. -- It is generally desirable to use older textbooks -- many of them, alas, out of print -- rather than newer ones. The latter are modish, trendy, often downright silly, and at best insubstantial. They are based on dubious psychological and sociological theories rather than on educational experience. One of the reasons American students do so poorly in math tests, as compared with British, French, German or Japanese students, is the influence of the "New Math "on American textbooks and teaching methods. Anyone who wants to appreciate just how bizarre this <t>situation</t> is -- with students who ca not add or subtract "learning "the conceptual basis of mathematical theory -- should read the article by Caleb Nelson (himself a recent math major at Harvard) in the November American Spectator. -- Most important of all, schools should have principals with a large measure of authority over the faculty, the curriculum, and all matters of student discipline.

Candidate senses:
1. sense_key=situation%1:26:00:: | definition=the general state of things; the combination of circumstances at a given time; ; ; - Franklin D.Roosevelt | synonyms=state of affairs | examples=the present international situation is dangerous; wondered how such a state of affairs had come about
2. sense_key=situation%1:26:01:: | definition=a condition or position in which you find yourself | synonyms=position | examples=the unpleasant situation (or position) of having to choose between two evils; found herself in a very fortunate situation
3. sense_key=situation%1:26:02:: | definition=a complex or critical or unusual difficulty | examples=the dangerous situation developed suddenly; that's quite a situation
4. sense_key=situation%1:15:00:: | definition=physical position in relation to the surroundings | synonyms=site | examples=the sites are determined by highly specific sequences of nucleotides
5. sense_key=situation%1:04:00:: | definition=a job in an organization | synonyms=position, post, berth, office, spot, billet | examples=he occupied a post in the treasury

Instructions:
1. Choose the single best indexed sense for the target word in context.
2. WordNet glosses are schematic; use the context, synonyms, and examples together.
3. Do not answer with a WordNet sense key.
4. Return only a JSON object exactly like {"sense_index": 3}.

content: {"sense_index": 1}{"sense_index": 1}

reasoning_content:
The context is about American students doing poorly in math tests due to the influence of "New Math" on textbooks and teaching methods. The author says "Anyone who wants to appreciate just how bizarre this situation is..."

This refers to the general state of things — the combination of circumstances in American math education. This is sense 1: "the general state of things; the combination of circumstances at a given time."


[System] You are an English linguist performing fine-grained Word Sense Disambiguation. WordNet glosses are schematic. Use the sentence context, the examples, and the synonyms to choose the best indexed sense. Do not hedge. Choose the single best indexed sense.

[User]
Target lemma: situation
Target surface form: situation
Context:
No one in his right mind actually believes that we all have an equal academic potential. -- It is generally desirable to use older textbooks -- many of them, alas, out of print -- rather than newer ones. The latter are modish, trendy, often downright silly, and at best insubstantial. They are based on dubious psychological and sociological theories rather than on educational experience. One of the reasons American students do so poorly in math tests, as compared with British, French, German or Japanese students, is the influence of the "New Math "on American textbooks and teaching methods. Anyone who wants to appreciate just how bizarre this <t>situation</t> is -- with students who ca not add or subtract "learning "the conceptual basis of mathematical theory -- should read the article by Caleb Nelson (himself a recent math major at Harvard) in the November American Spectator. -- Most important of all, schools should have principals with a large measure of authority over the faculty, the curriculum, and all matters of student discipline.

Candidate senses:
1. sense_key=situation%1:26:00:: | definition=the general state of things; the combination of circumstances at a given time; ; ; - Franklin D.Roosevelt | synonyms=state of affairs | examples=the present international situation is dangerous; wondered how such a state of affairs had come about
2. sense_key=situation%1:26:01:: | definition=a condition or position in which you find yourself | synonyms=position | examples=the unpleasant situation (or position) of having to choose between two evils; found herself in a very fortunate situation
3. sense_key=situation%1:26:02:: | definition=a complex or critical or unusual difficulty | examples=the dangerous situation developed suddenly; that's quite a situation
4. sense_key=situation%1:15:00:: | definition=physical position in relation to the surroundings | synonyms=site | examples=the sites are determined by highly specific sequences of nucleotides
5. sense_key=situation%1:04:00:: | definition=a job in an organization | synonyms=position, post, berth, office, spot, billet | examples=he occupied a post in the treasury

Instructions:
1. Choose the single best indexed sense for the target word in context.
2. WordNet glosses are schematic; use the context, synonyms, and examples together.
3. Do not answer with a WordNet sense key.
4. Return only a JSON object exactly like {"sense_index": 3}.

[Assistant] {"sense_index": 1}{"sense_index": 1}

[User] Your previous answer was invalid. Choose one candidate index between 1 and 5. Return only valid JSON exactly like {"sense_index": 1}.

content: {"sense_index": 1}{"sense_index": 1}

reasoning_content:
The user wants me to choose the best sense for "situation" in the given context. The context discusses American students doing poorly in math tests due to the influence of "New Math" on textbooks, and the bizarre situation of students who can't add or subtract "learning" the conceptual basis of mathematical theory.

Sense 1: "the general state of things; the combination of circumstances at a given time" - this fits well. The "situation" here refers to the overall state of American math education - the general condition/circumstances of how math is taught in America.

Sense 2: "a condition or position in which you find yourself" - this is more personal/individual.

Sense 3: "a complex or critical or unusual difficulty" - this is about a difficulty, which doesn't quite match. The context describes a bizarre situation but not necessarily framed as a "difficulty" per se.

Sense 4: physical position - doesn't fit.

Sense 5: a job - doesn't fit.

The best fit is Sense 1 - the general state of things, the combination of circumstances. The context is describing the general state of American math education.


[System] You are an English linguist performing fine-grained Word Sense Disambiguation. WordNet glosses are schematic. Use the sentence context, the examples, and the synonyms to choose the best indexed sense. Do not hedge. Choose the single best indexed sense.

[User]
Target lemma: student
Target surface form: students
Context:
No one in his right mind actually believes that we all have an equal academic potential. -- It is generally desirable to use older textbooks -- many of them, alas, out of print -- rather than newer ones. The latter are modish, trendy, often downright silly, and at best insubstantial. They are based on dubious psychological and sociological theories rather than on educational experience. One of the reasons American students do so poorly in math tests, as compared with British, French, German or Japanese students, is the influence of the "New Math "on American textbooks and teaching methods. Anyone who wants to appreciate just how bizarre this situation is -- with <t>students</t> who ca not add or subtract "learning "the conceptual basis of mathematical theory -- should read the article by Caleb Nelson (himself a recent math major at Harvard) in the November American Spectator. -- Most important of all, schools should have principals with a large measure of authority over the faculty, the curriculum, and all matters of student discipline.

Candidate senses:
1. sense_key=student%1:18:00:: | definition=a learner who is enrolled in an educational institution | synonyms=pupil, educatee
2. sense_key=student%1:18:01:: | definition=a learned person (especially in the humanities); someone who by long study has gained mastery in one or more disciplines | synonyms=scholar, scholarly person, bookman

Instructions:
1. Choose the single best indexed sense for the target word in context.
2. WordNet glosses are schematic; use the context, synonyms, and examples together.
3. Do not answer with a WordNet sense key.
4. Return only a JSON object exactly like {"sense_index": 3}.

reasoning_content: The context is about American students performing poorly in math tests, and how they are learning mathematical theory. This refers to learners enrolled in an educational institution. Sense 1 (pupil, educatee) is the best match.


[System] You are an English linguist performing fine-grained Word Sense Disambiguation. WordNet glosses are schematic. Use the sentence context, the examples, and the synonyms to choose the best indexed sense. Do not hedge. Choose the single best indexed sense.

[User]
Target lemma: add
Target surface form: add
Context:
No one in his right mind actually believes that we all have an equal academic potential. -- It is generally desirable to use older textbooks -- many of them, alas, out of print -- rather than newer ones. The latter are modish, trendy, often downright silly, and at best insubstantial. They are based on dubious psychological and sociological theories rather than on educational experience. One of the reasons American students do so poorly in math tests, as compared with British, French, German or Japanese students, is the influence of the "New Math "on American textbooks and teaching methods. Anyone who wants to appreciate just how bizarre this situation is -- with students who ca not <t>add</t> or subtract "learning "the conceptual basis of mathematical theory -- should read the article by Caleb Nelson (himself a recent math major at Harvard) in the November American Spectator. -- Most important of all, schools should have principals with a large measure of authority over the faculty, the curriculum, and all matters of student discipline.

Candidate senses:
1. sense_key=add%2:30:00:: | definition=make an addition (to); join or combine or unite with others; increase the quality, quantity, size or scope of | examples=We added two students to that dorm room; She added a personal note to her letter
2. sense_key=add%2:32:01:: | definition=state or say further | synonyms=append, supply | examples=`It doesn't matter,' he supplied
3. sense_key=add%2:40:00:: | definition=bestow a quality on | synonyms=lend, impart, bestow, contribute, bring | examples=Her presence lends a certain cachet to the company; The music added a lot to the play
4. sense_key=add%2:31:00:: | definition=make an addition by combining numbers | synonyms=add together | examples=Add 27 and 49, please!
5. sense_key=add%2:32:00:: | definition=determine the sum of | synonyms=total, tot, tot up, sum, sum up, summate | examples=Add all the people in this town to those of the neighboring town
6. sense_key=add%2:42:00:: | definition=constitute an addition | examples=This paper will add to her reputation

Instructions:
1. Choose the single best indexed sense for the target word in context.
2. WordNet glosses are schematic; use the context, synonyms, and examples together.
3. Do not answer with a WordNet sense key.
4. Return only a JSON object exactly like {"sense_index": 3}.

reasoning_content:
The target word "add" appears in the context: "with students who can not <add> or subtract 'learning' the conceptual basis of mathematical theory"

This is about basic arithmetic - students who cannot add numbers. The context is talking about "New Math" and how students can't even do basic addition/subtraction.

Looking at the candidate senses:
1. add%2:30:00:: - make an addition (to); join or combine or unite with others; increase the quality, quantity, size or scope of
4. add%2:31:00:: - make an addition by combining numbers; add together; "Add 27 and 49, please!"
5. add%2:32:00:: - determine the sum of; total, tot, tot up, sum, sum up, summate

Sense 4 is about combining numbers (the action of adding), while sense 5 is about determining the sum (a calculation/result). The context "cannot add or subtract" refers to the basic arithmetic operation of addition - combining numbers. This is the verb form meaning to perform addition on numbers.

Sense 4 "make an addition by combining numbers" seems to be the best fit here because "add" in this context refers to the arithmetic operation itself, not determining a sum of a collection of items.

Actually, let me think more carefully. "Add 27 and 49" - this is a command to perform the operation. "Determine the sum of" - this is more about finding the total. In the context, "students who cannot add" means they cannot perform the operation of addition. This aligns most closely with sense 4 - making an addition by combining numbers.


[System] You are an English linguist performing fine-grained Word Sense Disambiguation. WordNet glosses are schematic. Use the sentence context, the examples, and the synonyms to choose the best indexed sense. Do not hedge. Choose the single best indexed sense.

[User]
Target lemma: subtract
Target surface form: subtract
Context:
No one in his right mind actually believes that we all have an equal academic potential. -- It is generally desirable to use older textbooks -- many of them, alas, out of print -- rather than newer ones. The latter are modish, trendy, often downright silly, and at best insubstantial. They are based on dubious psychological and sociological theories rather than on educational experience. One of the reasons American students do so poorly in math tests, as compared with British, French, German or Japanese students, is the influence of the "New Math "on American textbooks and teaching methods. Anyone who wants to appreciate just how bizarre this situation is -- with students who ca not add or <t>subtract</t> "learning "the conceptual basis of mathematical theory -- should read the article by Caleb Nelson (himself a recent math major at Harvard) in the November American Spectator. -- Most important of all, schools should have principals with a large measure of authority over the faculty, the curriculum, and all matters of student discipline.

Candidate senses:
1. sense_key=subtract%2:31:00:: | definition=make a subtraction | synonyms=deduct, take off | examples=subtract this amount from my paycheck
2. sense_key=subtract%2:30:00:: | definition=take off or away | examples=this prefix was subtracted when the word was borrowed from French

Instructions:
1. Choose the single best indexed sense for the target word in context.
2. WordNet glosses are schematic; use the context, synonyms, and examples together.
3. Do not answer with a WordNet sense key.
4. Return only a JSON object exactly like {"sense_index": 3}.

reasoning_content:
The context is about students who cannot "add or subtract." This refers to the mathematical operation of subtraction. Sense 1 is "make a subtraction" with synonyms "deduct, take off" and an example about subtracting from a paycheck. Sense 2 is about removing a prefix from a word.

Clearly, the mathematical sense is intended here. Sense 1.


[System] You are an English linguist performing fine-grained Word Sense Disambiguation. WordNet glosses are schematic. Use the sentence context, the examples, and the synonyms to choose the best indexed sense. Do not hedge. Choose the single best indexed sense.

[User]
Target lemma: learn
Target surface form: learning
Context:
No one in his right mind actually believes that we all have an equal academic potential. -- It is generally desirable to use older textbooks -- many of them, alas, out of print -- rather than newer ones. The latter are modish, trendy, often downright silly, and at best insubstantial. They are based on dubious psychological and sociological theories rather than on educational experience. One of the reasons American students do so poorly in math tests, as compared with British, French, German or Japanese students, is the influence of the "New Math "on American textbooks and teaching methods. Anyone who wants to appreciate just how bizarre this situation is -- with students who ca not add or subtract "<t>learning</t> "the conceptual basis of mathematical theory -- should read the article by Caleb Nelson (himself a recent math major at Harvard) in the November American Spectator. -- Most important of all, schools should have principals with a large measure of authority over the faculty, the curriculum, and all matters of student discipline.

Candidate senses:
1. sense_key=learn%2:31:00:: | definition=gain knowledge or skills | synonyms=larn, acquire | examples=She learned dancing from her sister; I learned Sanskrit
2. sense_key=learn%2:31:01:: | definition=get to know or become aware of, usually accidentally | synonyms=hear, get word, get wind, pick up, find out, get a line | examples=I learned that she has two grown-up children; I see that you have been promoted
3. sense_key=learn%2:31:03:: | definition=commit to memory; learn by heart | synonyms=memorize, memorise, con | examples=Have you memorized your lines for the play yet?
4. sense_key=learn%2:31:02:: | definition=be a student of a certain subject | synonyms=study, read, take | examples=She is reading for the bar exam
5. sense_key=learn%2:32:00:: | definition=impart skills or knowledge to | synonyms=teach, instruct | examples=I taught them French; He instructed me in building a boat
6. sense_key=learn%2:32:02:: | definition=find out, learn, or determine with certainty, usually by making an inquiry or other effort | synonyms=determine, check, find out, see, ascertain, watch | examples=I want to see whether she speaks French; See whether it works

Instructions:
1. Choose the single best indexed sense for the target word in context.
2. WordNet glosses are schematic; use the context, synonyms, and examples together.
3. Do not answer with a WordNet sense key.
4. Return only a JSON object exactly like {"sense_index": 3}.

content: {"sense_index": 1}{"sense_index": 1}

reasoning_content:
The target word is "learning" (a gerund/participle of "learn") in the context: "students who cannot add or subtract 'learning' the conceptual basis of mathematical theory."

Here, "learning" is used in a present participle/gerund sense meaning "gaining knowledge of" or "acquiring." The students are trying to gain knowledge of the conceptual basis of mathematical theory but they can't even add or subtract.

This matches sense 1: "gain knowledge or skills" - synonyms include "acquire."

The other senses don't fit:
- Sense 2: become aware of accidentally - doesn't fit
- Sense 3: memorize - doesn't fit
- Sense 4: be a student of - doesn't quite fit as well
- Sense 5: impart knowledge (teach) - doesn't fit
- Sense 6: find out with certainty - doesn't fit

Sense 1 is the best match.


[System] You are an English linguist performing fine-grained Word Sense Disambiguation. WordNet glosses are schematic. Use the sentence context, the examples, and the synonyms to choose the best indexed sense. Do not hedge. Choose the single best indexed sense.

[User]
Target lemma: learn
Target surface form: learning
Context:
No one in his right mind actually believes that we all have an equal academic potential. -- It is generally desirable to use older textbooks -- many of them, alas, out of print -- rather than newer ones. The latter are modish, trendy, often downright silly, and at best insubstantial. They are based on dubious psychological and sociological theories rather than on educational experience. One of the reasons American students do so poorly in math tests, as compared with British, French, German or Japanese students, is the influence of the "New Math "on American textbooks and teaching methods. Anyone who wants to appreciate just how bizarre this situation is -- with students who ca not add or subtract "<t>learning</t> "the conceptual basis of mathematical theory -- should read the article by Caleb Nelson (himself a recent math major at Harvard) in the November American Spectator. -- Most important of all, schools should have principals with a large measure of authority over the faculty, the curriculum, and all matters of student discipline.

Candidate senses:
1. sense_key=learn%2:31:00:: | definition=gain knowledge or skills | synonyms=larn, acquire | examples=She learned dancing from her sister; I learned Sanskrit
2. sense_key=learn%2:31:01:: | definition=get to know or become aware of, usually accidentally | synonyms=hear, get word, get wind, pick up, find out, get a line | examples=I learned that she has two grown-up children; I see that you have been promoted
3. sense_key=learn%2:31:03:: | definition=commit to memory; learn by heart | synonyms=memorize, memorise, con | examples=Have you memorized your lines for the play yet?
4. sense_key=learn%2:31:02:: | definition=be a student of a certain subject | synonyms=study, read, take | examples=She is reading for the bar exam
5. sense_key=learn%2:32:00:: | definition=impart skills or knowledge to | synonyms=teach, instruct | examples=I taught them French; He instructed me in building a boat
6. sense_key=learn%2:32:02:: | definition=find out, learn, or determine with certainty, usually by making an inquiry or other effort | synonyms=determine, check, find out, see, ascertain, watch | examples=I want to see whether she speaks French; See whether it works

Instructions:
1. Choose the single best indexed sense for the target word in context.
2. WordNet glosses are schematic; use the context, synonyms, and examples together.
3. Do not answer with a WordNet sense key.
4. Return only a JSON object exactly like {"sense_index": 3}.

[Assistant] {"sense_index": 1}{"sense_index": 1}

[User] Your previous answer was invalid. Choose one candidate index between 1 and 6. Return only valid JSON exactly like {"sense_index": 1}.

content: {"sense_index": 1}{"sense_index": 1}

reasoning_content: The target word is "learning" in the context of students "who can not add or subtract" learning "the conceptual basis of mathematical theory." This means students are acquiring knowledge/skills. Sense 1: "gain knowledge or skills" fits best.


[System] You are an English linguist performing fine-grained Word Sense Disambiguation. WordNet glosses are schematic. Use the sentence context, the examples, and the synonyms to choose the best indexed sense. Do not hedge. Choose the single best indexed sense.

[User]
Target lemma: basis
Target surface form: basis
Context:
No one in his right mind actually believes that we all have an equal academic potential. -- It is generally desirable to use older textbooks -- many of them, alas, out of print -- rather than newer ones. The latter are modish, trendy, often downright silly, and at best insubstantial. They are based on dubious psychological and sociological theories rather than on educational experience. One of the reasons American students do so poorly in math tests, as compared with British, French, German or Japanese students, is the influence of the "New Math "on American textbooks and teaching methods. Anyone who wants to appreciate just how bizarre this situation is -- with students who ca not add or subtract "learning "the conceptual <t>basis</t> of mathematical theory -- should read the article by Caleb Nelson (himself a recent math major at Harvard) in the November American Spectator. -- Most important of all, schools should have principals with a large measure of authority over the faculty, the curriculum, and all matters of student discipline.

Candidate senses:
1. sense_key=basis%1:24:00:: | definition=a relation that provides the foundation for something | synonyms=footing, ground | examples=they were on a friendly footing; he worked on an interim basis
2. sense_key=basis%1:09:00:: | definition=the fundamental assumptions from which something is begun or developed or calculated or explained | synonyms=base, foundation, fundament, groundwork, cornerstone | examples=the whole argument rested on a basis of conjecture
3. sense_key=basis%1:24:01:: | definition=the most important or necessary part of something | synonyms=base | examples=the basis of this drink is orange juice

Instructions:
1. Choose the single best indexed sense for the target word in context.
2. WordNet glosses are schematic; use the context, synonyms, and examples together.
3. Do not answer with a WordNet sense key.
4. Return only a JSON object exactly like {"sense_index": 3}.

reasoning_content:
The target word "basis" appears in the context of "the conceptual basis of mathematical theory." This refers to the fundamental foundation or groundwork upon which mathematical theory is built. Let me analyze the candidate senses:

1. Sense 1: "a relation that provides the foundation for something" - synonyms: footing, ground. Examples suggest a relationship or status (e.g., "on a friendly footing", "on an interim basis"). This is more about a relational/conditional foundation.

2. Sense 2: "the fundamental assumptions from which something is begun or developed or calculated or explained" - synonyms: base, foundation, fundament, groundwork, cornerstone. Examples: "the whole argument rested on a basis of conjecture." This fits the context well - the conceptual basis of mathematical theory refers to the fundamental principles/assumptions that form the foundation of the theory.

3. Sense 3: "the most important or necessary part of something" - synonyms: base. Example: "the basis of this drink is orange juice." This is about a key ingredient or component.

The phrase "conceptual basis of mathematical theory" clearly refers to the fundamental principles/assumptions underlying the theory. This aligns best with sense 2, which talks about "fundamental assumptions from which something is begun or developed or calculated or explained." The synonyms "base, foundation, fundament, groundwork, cornerstone" all fit well with this usage.


[System] You are an English linguist performing fine-grained Word Sense Disambiguation. WordNet glosses are schematic. Use the sentence context, the examples, and the synonyms to choose the best indexed sense. Do not hedge. Choose the single best indexed sense.

[User]
Target lemma: mathematical
Target surface form: mathematical
Context:
No one in his right mind actually believes that we all have an equal academic potential. -- It is generally desirable to use older textbooks -- many of them, alas, out of print -- rather than newer ones. The latter are modish, trendy, often downright silly, and at best insubstantial. They are based on dubious psychological and sociological theories rather than on educational experience. One of the reasons American students do so poorly in math tests, as compared with British, French, German or Japanese students, is the influence of the "New Math "on American textbooks and teaching methods. Anyone who wants to appreciate just how bizarre this situation is -- with students who ca not add or subtract "learning "the conceptual basis of <t>mathematical</t> theory -- should read the article by Caleb Nelson (himself a recent math major at Harvard) in the November American Spectator. -- Most important of all, schools should have principals with a large measure of authority over the faculty, the curriculum, and all matters of student discipline.

Candidate senses:
1. sense_key=mathematical%3:01:00:: | definition=of or pertaining to or of the nature of mathematics | examples=a mathematical textbook; slide rules and other mathematical instruments
2. sense_key=mathematical%3:00:00:: | definition=relating to or having ability to think in or work with numbers | synonyms=numerical | examples=tests for rating numerical aptitude; a mathematical whiz
3. sense_key=mathematical%5:00:00:unquestionable:00 | definition=beyond question | examples=a mathematical certainty
4. sense_key=mathematical%5:00:00:possible:00 | definition=statistically possible though highly improbable | examples=have a mathematical chance of making the playoffs
5. sense_key=mathematical%5:00:00:exact:00 | definition=characterized by the exactness or precision of mathematics | examples=mathematical precision

Instructions:
1. Choose the single best indexed sense for the target word in context.
2. WordNet glosses are schematic; use the context, synonyms, and examples together.
3. Do not answer with a WordNet sense key.
4. Return only a JSON object exactly like {"sense_index": 3}.

content: {"sense_index": 1}{"sense_index": 1}

reasoning_content: The context discusses the "New Math" and its influence on American textbooks, specifically mentioning "the conceptual basis of mathematical theory." Here, "mathematical" modifies "theory" and refers to the field of mathematics itself - the conceptual basis of math theory. This is sense 1: "of or pertaining to or of the nature of mathematics."