[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}.

[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 single best sense for "mathematical" in the given context. The context talks about "the conceptual basis of mathematical theory" - referring to the nature of mathematics itself, math as a discipline. This clearly matches sense 1: "of or pertaining to or of the nature of mathematics."


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: read
Target surface form: read
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 mathematical theory -- should <t>read</t> 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=read%2:31:00:: | definition=interpret something that is written or printed | examples=read the advertisement; Have you read Salman Rushdie?
2. sense_key=read%2:42:00:: | definition=have or contain a certain wording or form | synonyms=say | examples=The passage reads as follows; What does the law say?
3. sense_key=read%2:31:01:: | definition=look at, interpret, and say out loud something that is written or printed | examples=The King will read the proclamation at noon
4. sense_key=read%2:31:06:: | definition=obtain data from magnetic tapes | synonyms=scan | examples=This dictionary can be read by the computer
5. sense_key=read%2:31:02:: | definition=interpret the significance of, as of palms, tea leaves, intestines, the sky; also of human behavior | examples=She read the sky and predicted rain; I can't read his strange behavior
6. sense_key=read%2:31:09:: | definition=interpret something in a certain way; convey a particular meaning or impression | synonyms=take | examples=I read this address as a satire; How should I take this message?
7. sense_key=read%2:31:05:: | definition=be a student of a certain subject | synonyms=learn, study, take | examples=She is reading for the bar exam
8. sense_key=read%2:32:02:: | definition=indicate a certain reading; of gauges and instruments | synonyms=register, show, record | examples=The thermometer showed thirteen degrees below zero; The gauge read `empty'
9. sense_key=read%2:36:05:: | definition=audition for a stage role by reading parts of a role | examples=He is auditioning for `Julius Caesar' at Stratford this year
10. sense_key=read%2:31:08:: | definition=to hear and understand | examples=I read you loud and clear!
11. sense_key=read%2:31:04:: | definition=make sense of a language | synonyms=understand, interpret, translate | examples=She understands French; Can you read Greek?

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 context says: "Anyone who wants to appreciate just how bizarre this situation is... should read the article by Caleb Nelson..."

Here, "read" means to read/interpret something that is written or printed. The person is being advised to read an article (written material). This matches sense 1: "interpret something that is written or printed."

Sense 3 is about reading out loud, which doesn't fit here - there's no indication of reading aloud.
Sense 1 is the best match - reading an article means interpreting written/printed text.

format: unknown

native_finish_reason: stop

provider: Minimax

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: article
Target surface form: article
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 mathematical theory -- should read the <t>article</t> 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=article%1:10:00:: | definition=nonfictional prose forming an independent part of a publication
2. sense_key=article%1:03:00:: | definition=one of a class of artifacts | examples=an article of clothing
3. sense_key=article%1:10:02:: | definition=a separate section of a legal document (as a statute or contract or will) | synonyms=clause
4. sense_key=article%1:10:01:: | definition=(grammar) a determiner that may indicate the specificity of reference of a noun phrase

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 mentions "the article by Caleb Nelson (himself a recent math major at Harvard) in the November American Spectator." This refers to a piece of writing published in a magazine, which matches sense 1: "nonfictional prose forming an independent part of a publication."


[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: recent
Target surface form: recent
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 mathematical theory -- should read the article by Caleb Nelson (himself a <t>recent</t> 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=recent%5:00:00:new:00 | definition=new | examples=recent graduates; a recent addition to the house
2. sense_key=recent%5:00:00:past:00 | definition=of the immediate past or just previous to the present time | synonyms=late | examples=a late development; their late quarrel

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 "recent" is used in the phrase "a recent math major at Harvard." This means someone who recently graduated as a math major. This aligns with sense 1, which has the definition "new" and examples like "recent graduates" and "a recent addition to the house." Sense 2 is about the immediate past or just previous to the present time, with synonyms like "late," which doesn't fit as well here. The context clearly refers to someone who is a new/recent graduate.

provider: Parasail


[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: major
Target surface form: major
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 mathematical theory -- should read the article by Caleb Nelson (himself a recent math <t>major</t> 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=major%1:18:00:: | definition=a commissioned military officer in the United States Army or Air Force or Marines; below lieutenant colonel and above captain
2. sense_key=major%1:18:02:: | definition=British statesman who was prime minister from 1990 until 1997 (born in 1943) | synonyms=John Major, John R. Major, John Roy Major
3. sense_key=major%1:18:01:: | definition=a university student who is studying a particular field as the principal subject | examples=she is a linguistics major
4. sense_key=major%1:09:00:: | definition=the principal field of study of a student at a university | examples=her major is linguistics

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}.

provider: Novita


[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: most
Target surface form: Most
Context:
-- 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 mathematical theory -- should read the article by Caleb Nelson (himself a recent math major at Harvard) in the November American Spectator. -- <t>Most</t> important of all, schools should have principals with a large measure of authority over the faculty, the curriculum, and all matters of student discipline. Study after study -- the most recent from the Brookings Institution -- tells us that the best schools are those that are free of outside interference and are governed by a powerful head.

Candidate senses:
1. sense_key=most%4:02:00:: | definition=used to form the superlative | synonyms=to the highest degree | examples=the king cobra is the most dangerous snake
2. sense_key=most%4:02:01:: | definition=very | examples=a most welcome relief
3. sense_key=most%4:02:02:: | definition=(of actions or states) slightly short of or not quite accomplished; all but | synonyms=about, almost, nearly, near, nigh, virtually | examples=the job is (just) about done; the baby was almost asleep when the alarm sounded

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}.


[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: important
Target surface form: important
Context:
-- 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 mathematical theory -- should read the article by Caleb Nelson (himself a recent math major at Harvard) in the November American Spectator. -- Most <t>important</t> of all, schools should have principals with a large measure of authority over the faculty, the curriculum, and all matters of student discipline. Study after study -- the most recent from the Brookings Institution -- tells us that the best schools are those that are free of outside interference and are governed by a powerful head.

Candidate senses:
1. sense_key=important%3:00:00:: | definition=of great significance or value | synonyms=of import | examples=important people; the important questions of the day
2. sense_key=important%3:00:04:: | definition=important in effect or meaning | synonyms=significant | examples=a significant change in tax laws; a significant change in the Constitution
3. sense_key=important%3:00:02:: | definition=of extreme importance; vital to the resolution of a crisis | synonyms=crucial | examples=a crucial moment in his career; a crucial election
4. sense_key=important%5:00:00:influential:00 | definition=having authority or ascendancy or influence | synonyms=authoritative | examples=an important official; the captain's authoritative manner
5. sense_key=important%5:00:00:immodest:02 | definition=having or suggesting a consciousness of high position | examples=recited the decree with an important air; took long important strides in the direction of his office

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 "important" appears in the phrase "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."

This is a superlative construction "most important of all" which indicates something of great significance or value. The sentence is talking about what schools should have, with this being the most significant point.

Let me look at the candidate senses:

1. sense_key=important%3:00:00:: | definition=of great significance or value | synonyms=of import | examples=important people; the important questions of the day
2. sense_key=important%3:00:04:: | definition=important in effect or meaning | synonyms=significant | examples=a significant change in tax laws; a significant change in the Constitution
3. sense_key=important%3:00:02:: | definition=of extreme importance; vital to the resolution of a crisis | synonyms=crucial | examples=a crucial moment in his career; a crucial election
4. sense_key=important%5:00:00:influential:00 | definition=having authority or ascendancy or influence | synonyms=authoritative | examples=an important official; the captain's authoritative manner
5. sense_key=important%5:00:00:immodest:02 | definition=having or suggesting a consciousness of high position | examples=recited the decree with an important air; took long important strides in the direction of his office

The context "Most important of all" is a standard phrase meaning "of greatest significance." This best matches sense 1, "of great significance or value."

Sense 3 (crucial) is about being vital to the resolution of a crisis, which doesn't quite fit here - it's not about a crisis, just about ranking importance among several suggestions.

Sense 1 is the most general and fits "most important of all" as it refers to something of great significance or value.

The answer 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: school
Target surface form: schools
Context:
-- 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 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, <t>schools</t> should have principals with a large measure of authority over the faculty, the curriculum, and all matters of student discipline. Study after study -- the most recent from the Brookings Institution -- tells us that the best schools are those that are free of outside interference and are governed by a powerful head.

Candidate senses:
1. sense_key=school%1:14:00:: | definition=an educational institution | examples=the school was founded in 1900
2. sense_key=school%1:06:00:: | definition=a building where young people receive education | synonyms=schoolhouse | examples=the school was built in 1932; he walked to school every morning
3. sense_key=school%1:09:00:: | definition=the process of being formally educated at a school | synonyms=schooling | examples=what will you do when you finish school?
4. sense_key=school%1:14:02:: | definition=a body of creative artists or writers or thinkers linked by a similar style or by similar teachers | examples=the Venetian school of painting
5. sense_key=school%1:28:00:: | definition=the period of instruction in a school; the time period when school is in session | synonyms=schooltime, school day | examples=stay after school; he didn't miss a single day of school
6. sense_key=school%1:14:03:: | definition=an educational institution's faculty and students | examples=the school keeps parents informed; the whole school turned out for the game
7. sense_key=school%1:14:01:: | definition=a large group of fish | synonyms=shoal | examples=a school of small glittering fish swam by

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 "schools" in the context of education, principals, faculty, curriculum, and student discipline. It mentions "the best schools are those that are free of outside interference and are governed by a powerful head." This refers to educational institutions as organizations/institutions themselves.

Let me consider the candidate senses:

1. "an educational institution" - This refers to the institution itself as an organization.
2. "a building where young people receive education" - This refers to the physical building.
6. "an educational institution's faculty and students" - This refers to the people (faculty and students) associated with an institution.

The sentence says "schools should have principals with a large measure of authority over the faculty, the curriculum, and all matters of student discipline." Here, "schools" is the subject that "have principals" and authority over faculty. This treats schools as institutions/organizations.

The next sentence: "the best schools are those that are free of outside interference and are governed by a powerful head." Again, "schools" here refers to institutions.

Sense 1 (an educational institution) seems to be the best match, as it refers to the institution as an organizational entity. Sense 6 is about the faculty and students collectively, but the context is about the institution as a governing body, not about the people themselves. Sense 2 is about the physical building, which doesn't fit.

I'll go with 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: principal
Target surface form: principals
Context:
-- 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 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 <t>principals</t> with a large measure of authority over the faculty, the curriculum, and all matters of student discipline. Study after study -- the most recent from the Brookings Institution -- tells us that the best schools are those that are free of outside interference and are governed by a powerful head.

Candidate senses:
1. sense_key=principal%1:21:01:: | definition=the original amount of a debt on which interest is calculated
2. sense_key=principal%1:18:00:: | definition=the educator who has executive authority for a school | synonyms=school principal, head teacher, head | examples=she sent unruly pupils to see the principal
3. sense_key=principal%1:18:01:: | definition=an actor who plays a principal role | synonyms=star, lead
4. sense_key=principal%1:21:02:: | definition=capital as contrasted with the income derived from it | synonyms=corpus, principal sum
5. sense_key=principal%1:18:03:: | definition=(criminal law) any person involved in a criminal offense, regardless of whether the person profits from such involvement
6. sense_key=principal%1:18:02:: | definition=the major party to a financial transaction at a stock exchange; buys and sells for his own account | synonyms=dealer

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 schools, and discusses "principals with a large measure of authority over the faculty, the curriculum, and all matters of student discipline." It also mentions "a powerful head." This clearly refers to the school principal, matching 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: measure
Target surface form: measure
Context:
-- 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 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 <t>measure</t> of authority over the faculty, the curriculum, and all matters of student discipline. Study after study -- the most recent from the Brookings Institution -- tells us that the best schools are those that are free of outside interference and are governed by a powerful head.

Candidate senses:
1. sense_key=measure%1:04:01:: | definition=any maneuver made as part of progress toward a goal | synonyms=step | examples=the situation called for strong measures; the police took steps to reduce crime
2. sense_key=measure%1:03:00:: | definition=how much there is or how many there are of something that you can quantify | synonyms=quantity, amount
3. sense_key=measure%1:10:02:: | definition=a statute in draft before it becomes law | synonyms=bill | examples=they held a public hearing on the bill
4. sense_key=measure%1:04:00:: | definition=the act or process of assigning numbers to phenomena according to a rule | synonyms=measurement, measuring, mensuration | examples=the measurements were carefully done; his mental measurings proved remarkably accurate
5. sense_key=measure%1:10:03:: | definition=a basis for comparison; a reference point against which other things can be evaluated | synonyms=standard, criterion, touchstone | examples=the schools comply with federal standards; they set the measure for all subsequent work
6. sense_key=measure%1:10:01:: | definition=(prosody) the accent in a metrical foot of verse | synonyms=meter, metre, beat, cadence
7. sense_key=measure%1:10:00:: | definition=musical notation for a repeating pattern of musical beats | synonyms=bar | examples=the orchestra omitted the last twelve bars of the song
8. sense_key=measure%1:06:00:: | definition=measuring instrument having a sequence of marks at regular intervals; used as a reference in making measurements | synonyms=measuring stick, measuring rod
9. sense_key=measure%1:06:01:: | definition=a container of some standard capacity that is used to obtain fixed amounts of a substance

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 "measure" in the phrase "a large measure of authority." This means "a large amount of authority." So the sense should be about quantity or amount.

Looking at the candidate senses:
- Sense 2: "how much there is or how many there are of something that you can quantify" with synonyms "quantity, amount" - this fits perfectly.
- Sense 5: "a basis for comparison; a reference point against which other things can be evaluated" with synonyms "standard, criterion, touchstone" - this is about standards.

"A large measure of authority" means "a large amount of authority," so sense 2 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: authority
Target surface form: authority
Context:
-- 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 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 <t>authority</t> over the faculty, the curriculum, and all matters of student discipline. Study after study -- the most recent from the Brookings Institution -- tells us that the best schools are those that are free of outside interference and are governed by a powerful head.

Candidate senses:
1. sense_key=authority%1:07:00:: | definition=the power or right to give orders or make decisions | synonyms=authorization, authorisation, potency, dominance, say-so | examples=he has the authority to issue warrants; deputies are given authorization to make arrests
2. sense_key=authority%1:18:01:: | definition=(usually plural) persons who exercise (administrative) control over others | examples=the authorities have issued a curfew
3. sense_key=authority%1:18:00:: | definition=an expert whose views are taken as definitive | examples=he is an authority on corporate law
4. sense_key=authority%1:09:00:: | definition=freedom from doubt; belief in yourself and your abilities | synonyms=assurance, self-assurance, confidence, self-confidence, sureness | examples=his assurance in his superiority did not make him popular; after that failure he lost his confidence
5. sense_key=authority%1:14:00:: | definition=an administrative unit of government | synonyms=agency, federal agency, government agency, bureau, office | examples=the Central Intelligence Agency; the Census Bureau
6. sense_key=authority%1:07:02:: | definition=official permission or approval | synonyms=authorization, authorisation, sanction | examples=authority for the program was renewed several times
7. sense_key=authority%1:10:00:: | definition=an authoritative written work | examples=this book is the final authority on the life of Milton

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 schools having principals with "authority" over faculty, curriculum, and student discipline. This is about the power or right to give orders or make decisions. That's 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: faculty
Target surface form: faculty
Context:
-- 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 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 <t>faculty</t>, the curriculum, and all matters of student discipline. Study after study -- the most recent from the Brookings Institution -- tells us that the best schools are those that are free of outside interference and are governed by a powerful head.

Candidate senses:
1. sense_key=faculty%1:09:00:: | definition=one of the inherent cognitive or perceptual powers of the mind | synonyms=mental faculty, module
2. sense_key=faculty%1:14:00:: | definition=the body of teachers and administrators at a school | synonyms=staff | examples=the dean addressed the letter to the entire staff of the university

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 schools, principals, curriculum, and student discipline. "Faculty" here refers to the body of teachers at a school. The phrase "principals with a large measure of authority over the faculty, the curriculum, and all matters of student discipline" makes it clear this is about the teaching staff of a school.

Sense 2 matches: "the body of teachers and administrators at a school."


[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: matter
Target surface form: matters
Context:
-- 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 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 <t>matters</t> of student discipline. Study after study -- the most recent from the Brookings Institution -- tells us that the best schools are those that are free of outside interference and are governed by a powerful head.

Candidate senses:
1. sense_key=matter%1:09:01:: | definition=a vaguely specified concern | synonyms=affair, thing | examples=several matters to attend to; it is none of your affair
2. sense_key=matter%1:09:00:: | definition=some situation or event that is thought about | synonyms=topic, subject, issue | examples=he kept drifting off the topic; he had been thinking about the subject for several years
3. sense_key=matter%1:03:00:: | definition=that which has mass and occupies space | examples=physicists study both the nature of matter and the forces which govern it
4. sense_key=matter%1:09:02:: | definition=a problem | examples=is anything the matter?
5. sense_key=matter%1:07:00:: | definition=(used with negation) having consequence | examples=they were friends and it was no matter who won the games
6. sense_key=matter%1:10:00:: | definition=written works (especially in books or magazines) | examples=he always took some reading matter with him on the plane

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 "all matters of student discipline." This refers to concerns/affairs/topics related to student discipline. Let me look at the candidates:

1. sense_key=matter%1:09:01:: | definition=a vaguely specified concern | synonyms=affair, thing | examples=several matters to attend to; it is none of your affair
2. sense_key=matter%1:09:00:: | definition=some situation or event that is thought about | synonyms=topic, subject, issue | examples=he kept drifting off the topic; he had been thinking about the subject for several years
3. sense_key=matter%1:03:00:: | definition=that which has mass and occupies space | examples=physicists study both the nature of matter and the forces which govern it
4. sense_key=matter%1:09:02:: | definition=a problem | examples=is anything the matter?
5. sense_key=matter%1:07:00:: | definition=(used with negation) having consequence | examples=they were friends and it was no matter who won the games
6. sense_key=matter%1:10:00:: | definition=written works (especially in books or magazines) | examples=he always took some reading matter with him on the plane

"Matters of student discipline" - this means concerns/topics/issues related to student discipline.

Sense 1: "a vaguely specified concern" with synonyms "affair, thing" - examples: "several matters to attend to; it is none of your affair"
Sense 2: "some situation or event that is thought about" with synonyms "topic, subject, issue"

"Matters of student discipline" - this phrase is talking about various concerns/items/affairs related to discipline. "Matters of X" is a fixed-ish expression meaning "concerns/affairs/topics related to X."

Looking at the specific sense distinctions: Sense 1 focuses on "a vaguely specified concern" (affair, thing), while Sense 2 focuses on "some situation or event that is thought about" (topic, subject, issue).

In the phrase "all matters of student discipline," this could match either. But "matters of discipline" feels more like "concerns/affairs/items related to discipline" rather than specific "topics/subjects being discussed."

Actually, let me think more carefully. The phrase "matters of X" typically means "affairs/concerns/items relating to X." The example for sense 1 "several matters to attend to" is quite similar - "matters of student discipline" = "discipline-related concerns/items to attend to."

Sense 2 is more about a specific topic being discussed or thought about, like "the subject of our conversation."

I think sense 1 is the better match here because "matters of student discipline" refers to a collection of concerns/affairs/items related to discipline, not a specific topic being discussed.

The answer 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: student
Target surface form: student
Context:
-- 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 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 <t>student</t> discipline. Study after study -- the most recent from the Brookings Institution -- tells us that the best schools are those that are free of outside interference and are governed by a powerful head.

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 target word "student" appears in the context "matters of student discipline." This is referring to students in schools - the enrollment/educational institution sense. The context is about school principals having authority over faculty, curriculum, and "student discipline." This clearly refers to learners enrolled in an educational institution.

Sense 1: "a learner who is enrolled in an educational institution" with synonyms pupil, educatee - this fits perfectly.
Sense 2: "a learned person (especially in the humanities); someone who by long study has gained mastery in one or more disciplines" with synonyms scholar, scholarly person, bookman - this doesn't fit the context of school discipline.

The answer is sense 1, which corresponds to 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: study
Target surface form: Study
Context:
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 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. <t>Study</t> after study -- the most recent from the Brookings Institution -- tells us that the best schools are those that are free of outside interference and are governed by a powerful head. With that authority, of course, goes an unambiguous accountability.

Candidate senses:
1. sense_key=study%1:04:00:: | definition=a detailed critical inspection | synonyms=survey
2. sense_key=study%1:09:03:: | definition=applying the mind to learning and understanding a subject (especially by reading) | synonyms=work | examples=mastering a second language requires a lot of work; no schools offer graduate study in interior design
3. sense_key=study%1:10:00:: | definition=a written document describing the findings of some individual or group | synonyms=report, written report | examples=this accords with the recent study by Hill and Dale
4. sense_key=study%1:09:04:: | definition=a state of deep mental absorption | examples=she is in a deep study
5. sense_key=study%1:06:00:: | definition=a room used for reading and writing and studying | examples=he knocked lightly on the closed door of the study
6. sense_key=study%1:09:02:: | definition=a branch of knowledge | synonyms=discipline, subject, subject area, subject field, field, field of study | examples=in what discipline is his doctorate?; teachers should be well trained in their subject
7. sense_key=study%1:06:01:: | definition=preliminary drawing for later elaboration | synonyms=sketch | examples=he made several studies before starting to paint
8. sense_key=study%1:09:01:: | definition=attentive consideration and meditation | synonyms=cogitation | examples=after much cogitation he rejected the offer
9. sense_key=study%1:18:00:: | definition=someone who memorizes quickly and easily (as the lines for a part in a play) | examples=he is a quick study
10. sense_key=study%1:10:01:: | definition=a composition intended to develop one aspect of the performer's technique | examples=a study in spiccato bowing

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 "Study" in the phrase "Study after study -- the most recent from the Brookings Institution -- tells us that the best schools are those that are free of outside interference and are governed by a powerful head."

Here, "Study after study" refers to repeated research reports/papers. The sentence says "the most recent from the Brookings Institution" which is a think tank that publishes research reports. So "study" here means a written document describing findings of some individual or group.

This matches sense 3: "a written document describing the findings of some individual or group" (synonyms: report, written report; example: "this accords with the recent study by Hill and Dale").

Sense 1 is "a detailed critical inspection" (synonym: survey) - this is close but refers more to the act of examining, not the document.

Sense 3 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: study
Target surface form: study
Context:
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 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. Study after <t>study</t> -- the most recent from the Brookings Institution -- tells us that the best schools are those that are free of outside interference and are governed by a powerful head. With that authority, of course, goes an unambiguous accountability.

Candidate senses:
1. sense_key=study%1:04:00:: | definition=a detailed critical inspection | synonyms=survey
2. sense_key=study%1:09:03:: | definition=applying the mind to learning and understanding a subject (especially by reading) | synonyms=work | examples=mastering a second language requires a lot of work; no schools offer graduate study in interior design
3. sense_key=study%1:10:00:: | definition=a written document describing the findings of some individual or group | synonyms=report, written report | examples=this accords with the recent study by Hill and Dale
4. sense_key=study%1:09:04:: | definition=a state of deep mental absorption | examples=she is in a deep study
5. sense_key=study%1:06:00:: | definition=a room used for reading and writing and studying | examples=he knocked lightly on the closed door of the study
6. sense_key=study%1:09:02:: | definition=a branch of knowledge | synonyms=discipline, subject, subject area, subject field, field, field of study | examples=in what discipline is his doctorate?; teachers should be well trained in their subject
7. sense_key=study%1:06:01:: | definition=preliminary drawing for later elaboration | synonyms=sketch | examples=he made several studies before starting to paint
8. sense_key=study%1:09:01:: | definition=attentive consideration and meditation | synonyms=cogitation | examples=after much cogitation he rejected the offer
9. sense_key=study%1:18:00:: | definition=someone who memorizes quickly and easily (as the lines for a part in a play) | examples=he is a quick study
10. sense_key=study%1:10:01:: | definition=a composition intended to develop one aspect of the performer's technique | examples=a study in spiccato bowing

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 "Study after study -- the most recent from the Brookings Institution -- tells us that the best schools are those that are free of outside interference..."

Here, "study" refers to research reports/papers. The Brookings Institution is a think tank that produces research reports. "Study after study" means research report after research report.

The best match is sense 3: "a written document describing the findings of some individual or group" (synonyms: report, written report). The example "this accords with the recent study by Hill and Dale" is very similar to the context.


[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: most
Target surface form: most
Context:
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 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. Study after study -- the <t>most</t> recent from the Brookings Institution -- tells us that the best schools are those that are free of outside interference and are governed by a powerful head. With that authority, of course, goes an unambiguous accountability.

Candidate senses:
1. sense_key=most%4:02:00:: | definition=used to form the superlative | synonyms=to the highest degree | examples=the king cobra is the most dangerous snake
2. sense_key=most%4:02:01:: | definition=very | examples=a most welcome relief
3. sense_key=most%4:02:02:: | definition=(of actions or states) slightly short of or not quite accomplished; all but | synonyms=about, almost, nearly, near, nigh, virtually | examples=the job is (just) about done; the baby was almost asleep when the alarm sounded

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 "most" appears in the phrase "the most recent from the Brookings Institution." This is a superlative construction, indicating the highest degree of recency among the studies mentioned. This matches sense 1: "used to form the superlative."


[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: tell
Target surface form: tells
Context:
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 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. Study after study -- the most recent from the Brookings Institution -- <t>tells</t> us that the best schools are those that are free of outside interference and are governed by a powerful head. With that authority, of course, goes an unambiguous accountability.

Candidate senses:
1. sense_key=tell%2:32:04:: | definition=express in words | synonyms=state, say | examples=He said that he wanted to marry her; tell me what is bothering you
2. sense_key=tell%2:32:00:: | definition=let something be known | examples=Tell them that you will be late
3. sense_key=tell%2:32:01:: | definition=narrate or give a detailed account of | synonyms=narrate, recount, recite | examples=Tell what happened; The father told a story to his child
4. sense_key=tell%2:32:02:: | definition=give instructions to or direct somebody to do something with authority | synonyms=order, enjoin, say | examples=I said to him to go home; She ordered him to do the shopping
5. sense_key=tell%2:31:00:: | definition=discern or comprehend | examples=He could tell that she was unhappy
6. sense_key=tell%2:32:08:: | definition=inform positively and with certainty and confidence | synonyms=assure | examples=I tell you that man is a crook!
7. sense_key=tell%2:32:03:: | definition=give evidence | synonyms=evidence | examples=he was telling on all his former colleague
8. sense_key=tell%2:31:01:: | definition=mark as different | synonyms=distinguish, separate, differentiate, secern, secernate, severalize | examples=We distinguish several kinds of maple

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 "tells" in the sentence: "Study after study -- the most recent from the Brookings Institution -- tells us that the best schools are those that are free of outside interference and are governed by a powerful head."

Here, "tells" means "informs" or "lets something be known" — it's communicating information (from studies to us).

Let me look at the candidate senses:

1. sense_key=tell%2:32:04:: | definition=express in words | synonyms=state, say
2. sense_key=tell%2:32:00:: | definition=let something be known | examples=Tell them that you will be late
3. sense_key=tell%2:32:01:: | definition=narrate or give a detailed account of
4. sense_key=tell%2:32:02:: | definition=give instructions to or direct somebody to do something with authority
5. sense_key=tell%2:31:00:: | definition=discern or comprehend
6. sense_key=tell%2:32:08:: | definition=inform positively and with certainty and confidence | synonyms=assure
7. sense_key=tell%2:32:03:: | definition=give evidence | synonyms=evidence
8. sense_key=tell%2:31:01:: | definition=mark as different

The context is about studies communicating/informing us about a finding. "Study after study tells us that..." — this is about studies providing information/evidence.

Sense 2: "let something be known" with example "Tell them that you will be late" — this is the basic communication/informing sense.
Sense 6: "inform positively and with certainty and confidence" — synonym "assure" — this is stronger, more like assuring.
Sense 7: "give evidence" — this could fit since studies provide evidence.

Let me think more carefully. "Study after study tells us that..." — studies are providing information/evidence. The verb "tells" here means studies communicate/inform us of a finding.

Sense 2 ("let something be known") is the general "inform" sense. The example "Tell them that you will be late" is a direct communication to a person.

Sense 7 ("give evidence") — studies do give evidence, but "give evidence" in WordNet typically relates to bearing witness or informing against someone (the example says "he was telling on all his former colleague" which is more about tattling/informing on someone).

Sense 6 ("inform positively and with certainty and confidence") — "assure" — this is about being certain and confident. The studies are presenting their findings with certainty.

Hmm, this is tricky. Let me reconsider.

"Study after study tells us that the best schools are those that are free of outside interference..." — the studies are communicating a finding to us. This is fundamentally about communication/informing.

Sense 2 is the most general "let something be known" sense, which fits well with studies communicating findings.

Sense 6 is about informing with certainty and confidence (assuring), which also fits since studies present their findings authoritatively.

Sense 7 "give evidence" — the studies do provide evidence, but the WordNet sense for "give evidence" has an example about telling on a colleague, which suggests it might be more about testimony/evidence in a specific way.

I think Sense 2 is the best fit — "let something be known" is the core meaning of "tell" when it means to inform/communicate information. The pattern "tells us that" is a classic information-transfer construction.

Actually, let me reconsider Sense 7 more carefully. "give evidence" with the example "he was telling on all his former colleague" — this seems to be about testifying or informing against someone. That doesn't quite match "Study after study tells us that..."

Sense 2 is the best match. "Study after study tells us that..." means the studies communicate/let it be known to us that...

So my answer is sense_index: 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: best
Target surface form: best
Context:
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 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. Study after study -- the most recent from the Brookings Institution -- tells us that the <t>best</t> schools are those that are free of outside interference and are governed by a powerful head. With that authority, of course, goes an unambiguous accountability.

Candidate senses:
1. sense_key=best%3:00:00:: | definition=(superlative of `good') having the most positive qualities | examples=the best film of the year; the best solution
2. sense_key=best%5:00:00:advisable:00 | definition=(comparative and superlative of `well') wiser or more advantageous and hence advisable | synonyms=better | examples=it would be better to speak to him; the White House thought it best not to respond
3. sense_key=good%3:00:01:: | definition=having desirable or positive qualities especially those suitable for a thing specified | synonyms=good | examples=good news from the hospital; a good report card
4. sense_key=full%5:00:00:ample:00 | definition=having the normally expected amount | synonyms=full, good | examples=gives full measure; gives good measure
5. sense_key=good%3:00:02:: | definition=morally admirable | synonyms=good
6. sense_key=estimable%5:00:00:reputable:00 | definition=deserving of esteem and respect | synonyms=estimable, good, honorable, respectable | examples=all respectable companies give guarantees; ruined the family's good name
7. sense_key=beneficial%5:00:00:advantageous:00 | definition=promoting or enhancing well-being | synonyms=beneficial, good | examples=an arms limitation agreement beneficial to all countries; the beneficial effects of a temperate climate
8. sense_key=good%5:00:00:nice:00 | definition=agreeable or pleasing | synonyms=good | examples=we all had a good time; good manners
9. sense_key=good%5:00:00:righteous:00 | definition=of moral excellence | synonyms=good, just, upright | examples=a genuinely good person; a just cause
10. sense_key=adept%5:00:00:skilled:00 | definition=having or showing knowledge and skill and aptitude | synonyms=adept, expert, good, practiced, proficient, skillful | examples=adept in handicrafts; an adept juggler
11. sense_key=good%5:00:00:complete:00 | definition=thorough | synonyms=good | examples=had a good workout; gave the house a good cleaning
12. sense_key=dear%5:00:00:close:02 | definition=with or in a close or intimate relationship | synonyms=dear, good, near | examples=a good friend; my sisters and brothers are near and dear
13. sense_key=dependable%5:00:00:sound:00 | definition=financially sound | synonyms=dependable, good, safe, secure | examples=a good investment; a secure investment
14. sense_key=good%5:00:00:opportune:00 | definition=most suitable or right for a particular purpose | synonyms=good, right, ripe | examples=a good time to plant tomatoes; the right time to act
15. sense_key=good%5:00:00:fortunate:00 | definition=resulting favorably | synonyms=good, well | examples=it's a good thing that I wasn't there; it is good that you stayed
16. sense_key=effective%5:00:00:operative:00 | definition=exerting force or influence | synonyms=effective, good, in effect, in force | examples=the law is effective immediately; a warranty good for two years
17. sense_key=good%5:00:00:pleasing:00 | definition=capable of pleasing | synonyms=good | examples=good looks
18. sense_key=good%5:00:00:intellectual:00 | definition=appealing to the mind | synonyms=good, serious | examples=good music; a serious book
19. sense_key=good%5:00:00:healthy:00 | definition=in excellent physical condition | synonyms=good, sound | examples=good teeth; I still have one good leg
20. sense_key=good%5:00:00:healthful:00 | definition=tending to promote physical well-being; beneficial to health | synonyms=good, salutary | examples=beneficial effects of a balanced diet; a good night's sleep
21. sense_key=good%5:00:00:genuine:00 | definition=not forged | synonyms=good, honest | examples=a good dollar bill
22. sense_key=good%5:00:00:fresh:01 | definition=not left to spoil | synonyms=good, undecomposed, unspoiled, unspoilt | examples=the meat is still good
23. sense_key=good%5:00:00:discriminating:00 | definition=generally admired | synonyms=good | examples=good taste

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 "best" in the context: "the best schools are those that are free of outside interference and are governed by a powerful head."

This is the superlative of "good," meaning the schools that have the most positive qualities. This matches sense 1: "(superlative of 'good') having the most positive qualities."


[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: school
Target surface form: schools
Context:
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 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. Study after study -- the most recent from the Brookings Institution -- tells us that the best <t>schools</t> are those that are free of outside interference and are governed by a powerful head. With that authority, of course, goes an unambiguous accountability.

Candidate senses:
1. sense_key=school%1:14:00:: | definition=an educational institution | examples=the school was founded in 1900
2. sense_key=school%1:06:00:: | definition=a building where young people receive education | synonyms=schoolhouse | examples=the school was built in 1932; he walked to school every morning
3. sense_key=school%1:09:00:: | definition=the process of being formally educated at a school | synonyms=schooling | examples=what will you do when you finish school?
4. sense_key=school%1:14:02:: | definition=a body of creative artists or writers or thinkers linked by a similar style or by similar teachers | examples=the Venetian school of painting
5. sense_key=school%1:28:00:: | definition=the period of instruction in a school; the time period when school is in session | synonyms=schooltime, school day | examples=stay after school; he didn't miss a single day of school
6. sense_key=school%1:14:03:: | definition=an educational institution's faculty and students | examples=the school keeps parents informed; the whole school turned out for the game
7. sense_key=school%1:14:01:: | definition=a large group of fish | synonyms=shoal | examples=a school of small glittering fish swam by

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 schools having principals with authority over faculty, curriculum, and student discipline. It talks about the best schools being those free of outside interference and governed by a powerful head. This is clearly referring to educational institutions as organizations, not buildings, not the process of education, not a group of artists, not fish, etc.

Sense 1 (school%1:14:00::) is "an educational institution" - this fits well as it's talking about schools as institutions with principals, faculty, curriculum, etc.

Sense 6 (school%1:14:03::) is "an educational institution's faculty and students" - this could also fit since the context mentions "the best schools are those that are free of outside interference" and mentions faculty, curriculum, student discipline.

Let me think more carefully. The sentence "schools should have principals with a large measure of authority over the faculty" suggests schools as institutions. Then "the best schools are those that are free of outside interference and are governed by a powerful head" - this is talking about schools as institutional entities.

Sense 1 is about the institution itself, while Sense 6 is about the faculty and students of an institution. The context is more about the institution as a whole (with its governance structure), so Sense 1 seems more appropriate.

Actually, let me reconsider. Sense 6 examples include "the school keeps parents informed; the whole school turned out for the game" - this sense treats school as the community of people. The context talks about "schools should have principals" and "the best schools" - this could be either sense.

But the emphasis is on the institution's governance and authority structure, which aligns more with Sense 1 - the educational institution as an entity.

I'll go with 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: outside
Target surface form: outside
Context:
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 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. Study after study -- the most recent from the Brookings Institution -- tells us that the best schools are those that are free of <t>outside</t> interference and are governed by a powerful head. With that authority, of course, goes an unambiguous accountability.

Candidate senses:
1. sense_key=outside%3:00:00:: | definition=relating to or being on or near the outer side or limit | examples=an outside margin
2. sense_key=outside%5:00:00:extrinsic:00 | definition=coming from the outside | synonyms=external, extraneous | examples=extraneous light in the camera spoiled the photograph; relying upon an extraneous income
3. sense_key=outside%5:00:00:external:00 | definition=originating or belonging beyond some bounds: | examples=the outside world; outside interests
4. sense_key=outside%3:00:04:: | definition=located, suited for, or taking place in the open air | synonyms=outdoor, out-of-door | examples=outdoor clothes; badminton and other outdoor games
5. sense_key=outside%5:00:00:extramural:00 | definition=functioning outside the boundaries or precincts of an organized unit | examples=extramural hospital care and treatment; extramural studies
6. sense_key=outside%5:00:00:exterior:00 | definition=leading to or from the outside | examples=an outside door
7. sense_key=outside%5:00:00:foreign:02 | definition=from or between other countries | synonyms=external, international | examples=external commerce; international trade
8. sense_key=outside%5:00:00:unlikely:00 | definition=very unlikely | synonyms=remote | examples=an outside chance; a remote possibility
9. sense_key=outside%5:00:00:outer:00 | definition=on or toward an outer edge | examples=an outer lane; the outside lane
10. sense_key=outside%5:00:00:inaccurate:00 | definition=(of a baseball pitch) on the far side of home plate from the batter | synonyms=away | examples=the pitch was away (or wide); an outside pitch

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 schools being "free of outside interference" - meaning interference that comes from outside the school, external to it. This is about something originating or coming from beyond some bounds (the school's own organization).

Looking at the candidate senses:
- Sense 2: "coming from the outside" with synonyms "external, extraneous" - examples like "extraneous light"
- Sense 3: "originating or belonging beyond some bounds" - examples like "the outside world; outside interests"
- Sense 5: "functioning outside the boundaries or precincts of an organized unit" - examples like "extramural hospital care"

The phrase "free of outside interference" means interference from external sources, not from within the school system. Sense 3 fits well with "originating or belonging beyond some bounds" and the example "outside interests." Sense 2 also fits with "coming from the outside."

Between senses 2 and 3, sense 3 seems to be a more general/standard sense for "outside" meaning external/beyond bounds. Sense 2 is more about something extraneous or accidental.

Actually, let me reconsider. "Outside interference" = interference from outside = external interference. Sense 2 is "coming from the outside" which directly matches. Sense 3 is "originating or belonging beyond some bounds" which also matches.

The distinction: Sense 2 seems more about the source/direction (coming from outside), while sense 3 is about being beyond bounds. For "outside interference" in the context of schools, the interference comes from external sources (beyond the school's bounds).

I think sense 3 is the best fit because it captures the notion of being beyond the bounds of the school organization. The example "outside interests" is very similar in structure to "outside interference" - both refer to things coming from beyond one's own sphere.

Actually, I'll go with sense 3.


[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: interference
Target surface form: interference
Context:
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 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. Study after study -- the most recent from the Brookings Institution -- tells us that the best schools are those that are free of outside <t>interference</t> and are governed by a powerful head. With that authority, of course, goes an unambiguous accountability.

Candidate senses:
1. sense_key=interference%1:10:00:: | definition=a policy of intervening in the affairs of other countries | synonyms=intervention
2. sense_key=interference%1:04:00:: | definition=the act of hindering or obstructing or impeding | synonyms=hindrance, hinderance
3. sense_key=interference%1:11:00:: | definition=electrical or acoustic activity that can disturb communication | synonyms=noise, disturbance
4. sense_key=interference%1:04:01:: | definition=(American football) blocking a player's path with your body | examples=he ran interference for the quarterback
5. sense_key=interference%1:06:00:: | definition=any obstruction that impedes or is burdensome | synonyms=hindrance, hinderance, hitch, preventive, preventative, encumbrance

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 schools being "free of outside interference" and governed by a powerful head. This refers to external parties (like government, boards, etc.) intervening in school affairs, which would hinder or obstruct the school's operation.

Looking at the candidate senses:
1. Intervening in affairs of other countries - this is about international politics, not relevant here
2. The act of hindering or obstructing or impeding - this fits well, as outside interference would hinder the school's ability to operate
3. Electrical/acoustic disturbance - not relevant
4. Football blocking - not relevant
5. Any obstruction that impedes - this also fits, as it's about obstruction

Between sense 2 and sense 5, sense 2 is more about the act of hindering, while sense 5 is about the obstruction itself. The context talks about being "free of outside interference" - meaning free from the act of outside parties hindering/obstructing the school's governance.

Sense 2 ("the act of hindering or obstructing or impeding") seems to be the best fit because the context is about outside parties actively interfering (hindering) with school operations. Sense 5 is more about a static obstruction.

Actually, let me reconsider. "Free of outside interference" - interference here is the noun referring to the act or process of outside parties getting involved in school affairs. Sense 2 captures this well as "the act of hindering or obstructing or impeding."

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: govern
Target surface form: governed
Context:
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 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. Study after study -- the most recent from the Brookings Institution -- tells us that the best schools are those that are free of outside interference and are <t>governed</t> by a powerful head. With that authority, of course, goes an unambiguous accountability.

Candidate senses:
1. sense_key=govern%2:41:02:: | definition=bring into conformity with rules or principles or usage; impose regulations | synonyms=regulate, regularize, regularise, order | examples=We cannot regulate the way people dress; This town likes to regulate
2. sense_key=govern%2:41:01:: | definition=direct or strongly influence the behavior of | examples=His belief in God governs his conduct
3. sense_key=govern%2:41:00:: | definition=exercise authority over; as of nations | synonyms=rule | examples=Who is governing the country now?
4. sense_key=govern%2:42:00:: | definition=require to be in a certain grammatical case, voice, or mood | examples=most transitive verbs govern the accusative case in German

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 about schools being "governed by a powerful head." This refers to a principal/head of school exercising authority over the school. The key phrase is "schools... are governed by a powerful head" and "schools should have principals with a large measure of authority."

Sense 3 (govern%2:41:00::) is "exercise authority over; as of nations" with synonyms "rule." This fits well - the head of school exercises authority over the school, similar to governing a nation.

Sense 2 is "direct or strongly influence the behavior of" - this is more about influencing conduct rather than exercising institutional authority.

Sense 1 is about bringing into conformity with rules - more about regulation.

The context clearly points to exercising authority over an institution (the school), which aligns with sense 3.


[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: powerful
Target surface form: powerful
Context:
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 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. Study after study -- the most recent from the Brookings Institution -- tells us that the best schools are those that are free of outside interference and are governed by a <t>powerful</t> head. With that authority, of course, goes an unambiguous accountability.

Candidate senses:
1. sense_key=powerful%3:00:00:: | definition=having great power or force or potency or effect | examples=the most powerful government in western Europe; his powerful arms
2. sense_key=powerful%5:00:02:strong:00 | definition=strong enough to knock down or overwhelm | synonyms=knock-down | examples=a knock-down blow
3. sense_key=powerful%5:00:00:influential:00 | definition=having great influence | synonyms=potent
4. sense_key=powerful%5:00:01:strong:00 | definition=(of a person) possessing physical strength and weight; rugged and powerful | synonyms=brawny, hefty, muscular, sinewy | examples=a hefty athlete; a muscular boxer
5. sense_key=powerful%5:00:00:superhuman:00 | definition=displaying superhuman strength or power | synonyms=herculean | examples=herculean exertions

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}.


[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: head
Target surface form: head
Context:
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 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. Study after study -- the most recent from the Brookings Institution -- tells us that the best schools are those that are free of outside interference and are governed by a powerful <t>head</t>. With that authority, of course, goes an unambiguous accountability.

Candidate senses:
1. sense_key=head%1:08:00:: | definition=the upper part of the human body or the front part of the body in animals; contains the face and brains | synonyms=caput | examples=he stuck his head out the window
2. sense_key=head%1:05:00:: | definition=a single domestic animal | examples=200 head of cattle
3. sense_key=head%1:09:00:: | definition=that which is responsible for one's thoughts and feelings; the seat of the faculty of reason | synonyms=mind, brain, psyche, nous | examples=his mind wandered; I couldn't get his words out of my head
4. sense_key=head%1:18:00:: | definition=a person who is in charge | synonyms=chief, top dog | examples=the head of the whole operation
5. sense_key=head%1:14:00:: | definition=the front of a military formation or procession | examples=the head of the column advanced boldly; they were at the head of the attack
6. sense_key=head%1:19:00:: | definition=the pressure exerted by a fluid | examples=a head of steam
7. sense_key=head%1:15:00:: | definition=the top of something | examples=the head of the stairs; the head of the page
8. sense_key=head%1:15:01:: | definition=the source of water from which a stream arises | synonyms=fountainhead, headspring | examples=they tracked him back toward the head of the stream
9. sense_key=head%1:10:03:: | definition=(grammar) the word in a grammatical constituent that plays the same grammatical role as the whole constituent | synonyms=head word
10. sense_key=head%1:26:00:: | definition=the tip of an abscess (where the pus accumulates)
11. sense_key=head%1:23:00:: | definition=the length or height based on the size of a human or animal head | examples=he is two heads taller than his little sister; his horse won by a head
12. sense_key=head%1:20:00:: | definition=a dense cluster of flowers or foliage | synonyms=capitulum | examples=a head of cauliflower; a head of lettuce
13. sense_key=head%1:18:01:: | definition=the educator who has executive authority for a school | synonyms=principal, school principal, head teacher | examples=she sent unruly pupils to see the principal
14. sense_key=head%1:18:03:: | definition=an individual person | examples=tickets are $5 per head
15. sense_key=head%1:18:02:: | definition=a user of (usually soft) drugs | examples=the office was full of secret heads
16. sense_key=head%1:17:02:: | definition=a natural elevation (especially a rocky one that juts out into the sea) | synonyms=promontory, headland, foreland
17. sense_key=head%1:17:01:: | definition=a rounded compact mass | examples=the head of a comet
18. sense_key=head%1:17:00:: | definition=the foam or froth that accumulates at the top when you pour an effervescent liquid into a container | examples=the beer had a large head of foam
19. sense_key=head%1:15:02:: | definition=the part in the front or nearest the viewer | synonyms=forefront | examples=he was in the forefront; he was at the head of the column
20. sense_key=head%1:11:01:: | definition=a difficult juncture | synonyms=pass, straits | examples=a pretty pass; matters came to a head yesterday
21. sense_key=head%1:11:00:: | definition=forward movement | synonyms=headway | examples=the ship made little headway against the gale
22. sense_key=head%1:10:01:: | definition=a V-shaped mark at one end of an arrow pointer | synonyms=point | examples=the point of the arrow was due north
23. sense_key=head%1:10:02:: | definition=the subject matter at issue | synonyms=question | examples=the question of disease merits serious discussion; under the head of minor Roman poets
24. sense_key=head%1:10:00:: | definition=a line of text serving to indicate what the passage below it is about | synonyms=heading, header | examples=the heading seemed to have little to do with the text
25. sense_key=head%1:08:01:: | definition=the rounded end of a bone that fits into a rounded cavity in another bone to form a joint | examples=the head of the humerus
26. sense_key=head%1:08:02:: | definition=that part of a skeletal muscle that is away from the bone that it moves
27. sense_key=head%1:06:05:: | definition=(computer science) a tiny electromagnetic coil and metal pole used to write and read magnetic patterns on a disk | synonyms=read/write head
28. sense_key=head%1:06:04:: | definition=(usually plural) the obverse side of a coin that usually bears the representation of a person's head | examples=call heads or tails!
29. sense_key=head%1:06:03:: | definition=the striking part of a tool | examples=the head of the hammer
30. sense_key=head%1:06:02:: | definition=(nautical) a toilet on board a boat or ship
31. sense_key=head%1:06:00:: | definition=a projection out from one end; , | examples=the head of the nail; a pinhead is the head of a pin
32. sense_key=head%1:06:01:: | definition=a membrane that is stretched taut over a drum | synonyms=drumhead
33. sense_key=head%1:04:00:: | definition=oral stimulation of the genitals | synonyms=oral sex | examples=they say he gives good head

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 schools and principals. "The best schools are those that are free of outside interference and are governed by a powerful head." Here, "head" refers to the head of a school, i.e., the principal. This matches sense 13: "the educator who has executive authority for a school" with synonyms "principal, school principal, head teacher."