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All the ideas for 'Why coherence is not enough', 'Frege philosophy of mathematics' and 'Category Mistakes'

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80 ideas

2. Reason / D. Definition / 7. Contextual Definition
A contextual definition permits the elimination of the expression by a substitution [Dummett]
2. Reason / F. Fallacies / 8. Category Mistake / a. Category mistakes
People have dreams which involve category mistakes [Magidor]
Category mistakes are either syntactic, semantic, or pragmatic [Magidor]
2. Reason / F. Fallacies / 8. Category Mistake / b. Category mistake as syntactic
Category mistakes seem to be universal across languages [Magidor]
Category mistakes as syntactic needs a huge number of fine-grained rules [Magidor]
Embedded (in 'he said that…') category mistakes show syntax isn't the problem [Magidor]
2. Reason / F. Fallacies / 8. Category Mistake / c. Category mistake as semantic
Category mistakes are meaningful, because metaphors are meaningful category mistakes [Magidor]
The normal compositional view makes category mistakes meaningful [Magidor]
If a category mistake is synonymous across two languages, that implies it is meaningful [Magidor]
If a category mistake has unimaginable truth-conditions, then it seems to be meaningless [Magidor]
Two good sentences should combine to make a good sentence, but that might be absurd [Magidor]
A good explanation of why category mistakes sound wrong is that they are meaningless [Magidor]
Category mistakes are neither verifiable nor analytic, so verificationism says they are meaningless [Magidor]
Category mistakes play no role in mental life, so conceptual role semantics makes them meaningless [Magidor]
Maybe when you say 'two is green', the predicate somehow fails to apply? [Magidor]
If category mistakes aren't syntax failure or meaningless, maybe they just lack a truth-value? [Magidor]
2. Reason / F. Fallacies / 8. Category Mistake / d. Category mistake as pragmatic
Maybe the presuppositions of category mistakes are the abilities of things? [Magidor]
Category mistakes suffer from pragmatic presupposition failure (which is not mere triviality) [Magidor]
Category mistakes because of presuppositions still have a truth value (usually 'false') [Magidor]
In 'two is green', 'green' has a presupposition of being coloured [Magidor]
'Numbers are coloured and the number two is green' seems to be acceptable [Magidor]
2. Reason / F. Fallacies / 8. Category Mistake / e. Category mistake as ontological
The presuppositions in category mistakes reveal nothing about ontology [Magidor]
4. Formal Logic / E. Nonclassical Logics / 8. Intensional Logic
Intensional logic maps logical space, showing which predicates are compatible or incompatible [Magidor]
5. Theory of Logic / A. Overview of Logic / 6. Classical Logic
In classical logic, logical truths are valid formulas; in higher-order logics they are purely logical [Dummett]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / b. Types of number
A prime number is one which is measured by a unit alone [Dummett]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / c. Priority of numbers
Addition of quantities is prior to ordering, as shown in cyclic domains like angles [Dummett]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / a. Units
A number is a multitude composed of units [Dummett]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / e. Counting by correlation
We understand 'there are as many nuts as apples' as easily by pairing them as by counting them [Dummett]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / e. Caesar problem
Some suggest that the Julius Caesar problem involves category mistakes [Magidor]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / e. Structuralism critique
The identity of a number may be fixed by something outside structure - by counting [Dummett]
Numbers aren't fixed by position in a structure; it won't tell you whether to start with 0 or 1 [Dummett]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
Set theory isn't part of logic, and why reduce to something more complex? [Dummett]
7. Existence / C. Structure of Existence / 7. Abstract/Concrete / a. Abstract/concrete
The distinction of concrete/abstract, or actual/non-actual, is a scale, not a dichotomy [Dummett]
7. Existence / D. Theories of Reality / 2. Realism
Realism is just the application of two-valued semantics to sentences [Dummett]
8. Modes of Existence / E. Nominalism / 1. Nominalism / a. Nominalism
Nominalism assumes unmediated mental contact with objects [Dummett]
9. Objects / A. Existence of Objects / 2. Abstract Objects / a. Nature of abstracta
The existence of abstract objects is a pseudo-problem [Dummett]
9. Objects / A. Existence of Objects / 2. Abstract Objects / c. Modern abstracta
Abstract objects nowadays are those which are objective but not actual [Dummett]
It is absurd to deny the Equator, on the grounds that it lacks causal powers [Dummett]
'We've crossed the Equator' has truth-conditions, so accept the Equator - and it's an object [Dummett]
9. Objects / A. Existence of Objects / 2. Abstract Objects / d. Problems with abstracta
Abstract objects need the context principle, since they can't be encountered directly [Dummett]
9. Objects / B. Unity of Objects / 3. Unity Problems / c. Statue and clay
We can explain the statue/clay problem by a category mistake with a false premise [Magidor]
9. Objects / F. Identity among Objects / 2. Defining Identity
Content is replaceable if identical, so replaceability can't define identity [Dummett, by Dummett]
Frege introduced criteria for identity, but thought defining identity was circular [Dummett]
13. Knowledge Criteria / A. Justification Problems / 2. Justification Challenges / a. Agrippa's trilemma
There are five possible responses to the problem of infinite regress in justification [Cleve]
13. Knowledge Criteria / B. Internal Justification / 4. Foundationalism / a. Foundationalism
Modern foundationalists say basic beliefs are fallible, and coherence is relevant [Cleve]
18. Thought / A. Modes of Thought / 2. Propositional Attitudes
Propositional attitudes relate agents to either propositions, or meanings, or sentence/utterances [Magidor]
18. Thought / C. Content / 1. Content
Two sentences with different meanings can, on occasion, have the same content [Magidor]
18. Thought / D. Concepts / 4. Structure of Concepts / b. Analysis of concepts
To grasp 'two' and 'green', must you know that two is not green? [Magidor]
18. Thought / D. Concepts / 4. Structure of Concepts / i. Conceptual priority
Maybe a concept is 'prior' to another if it can be defined without the second concept [Dummett]
An argument for conceptual priority is greater simplicity in explanation [Dummett]
18. Thought / E. Abstraction / 1. Abstract Thought
Abstract terms are acceptable as long as we know how they function linguistically [Dummett]
18. Thought / E. Abstraction / 7. Abstracta by Equivalence
There is no reason why abstraction by equivalence classes should be called 'logical' [Dummett, by Tait]
We arrive at the concept 'suicide' by comparing 'Cato killed Cato' with 'Brutus killed Brutus' [Dummett]
18. Thought / E. Abstraction / 8. Abstractionism Critique
To abstract from spoons (to get the same number as the forks), the spoons must be indistinguishable too [Dummett]
19. Language / C. Assigning Meanings / 1. Syntax
Generative semantics says structure is determined by semantics as well as syntactic rules [Magidor]
'John is easy to please' and 'John is eager to please' have different deep structure [Magidor]
19. Language / C. Assigning Meanings / 2. Semantics
The semantics of a sentence is its potential for changing a context [Magidor]
19. Language / C. Assigning Meanings / 4. Compositionality
Weaker compositionality says meaningful well-formed sentences get the meaning from the parts [Magidor]
Strong compositionality says meaningful expressions syntactically well-formed are meaningful [Magidor]
Understanding unlimited numbers of sentences suggests that meaning is compositional [Magidor]
19. Language / C. Assigning Meanings / 5. Fregean Semantics
Fregean semantics assumes a domain articulated into individual objects [Dummett]
19. Language / D. Propositions / 2. Abstract Propositions / b. Propositions as possible worlds
Are there partial propositions, lacking truth value in some possible worlds? [Magidor]
19. Language / F. Communication / 5. Pragmatics / a. Contextual meaning
A sentence can be meaningful, and yet lack a truth value [Magidor]
In the pragmatic approach, presuppositions are assumed in a context, for successful assertion [Magidor]
19. Language / F. Communication / 5. Pragmatics / b. Implicature
The infelicitiousness of trivial truth is explained by uninformativeness, or a static context-set [Magidor]
The infelicitiousness of trivial falsity is explained by expectations, or the loss of a context-set [Magidor]
19. Language / F. Communication / 5. Pragmatics / c. Presupposition
A presupposition is what makes an utterance sound wrong if it is not assumed? [Magidor]
A test for presupposition would be if it provoked 'hey wait a minute - I have no idea that....' [Magidor]
The best tests for presupposition are projecting it to negation, conditional, conjunction, questions [Magidor]
If both s and not-s entail a sentence p, then p is a presupposition [Magidor]
Why do certain words trigger presuppositions? [Magidor]
19. Language / F. Communication / 6. Interpreting Language / d. Metaphor
One theory says metaphors mean the same as the corresponding simile [Magidor]
Theories of metaphor divide over whether they must have literal meanings [Magidor]
The simile view of metaphors removes their magic, and won't explain why we use them [Magidor]
Maybe a metaphor is just a substitute for what is intended literally, like 'icy' for 'unemotional' [Magidor]
Gricean theories of metaphor involve conversational implicatures based on literal meanings [Magidor]
Non-cognitivist views of metaphor says there are no metaphorical meanings, just effects of the literal [Magidor]
Metaphors tend to involve category mistakes, by joining disjoint domains [Magidor]
Metaphors as substitutes for the literal misses one predicate varying with context [Magidor]
27. Natural Reality / C. Space / 3. Points in Space
Why should the limit of measurement be points, not intervals? [Dummett]