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All the ideas for 'Mathematical Methods in Philosophy', 'Letters to Frege' and 'Category Mistakes'

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64 ideas

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 / 9. Philosophical Logic
Three stages of philosophical logic: syntactic (1905-55), possible worlds (1963-85), widening (1990-) [Horsten/Pettigrew]
5. Theory of Logic / E. Structures of Logic / 1. Logical Form
Logical formalization makes concepts precise, and also shows their interrelation [Horsten/Pettigrew]
5. Theory of Logic / J. Model Theory in Logic / 1. Logical Models
Models are sets with functions and relations, and truth built up from the components [Horsten/Pettigrew]
5. Theory of Logic / L. Paradox / 5. Paradoxes in Set Theory / d. Russell's paradox
Russell's Paradox is a stripped-down version of Cantor's Paradox [Priest,G on Russell]
Russell's paradox means we cannot assume that every property is collectivizing [Potter on Russell]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / e. Caesar problem
Some suggest that the Julius Caesar problem involves category mistakes [Magidor]
7. Existence / A. Nature of Existence / 1. Nature of Existence
If 'exist' doesn't express a property, we can hardly ask for its essence [Horsten/Pettigrew]
8. Modes of Existence / B. Properties / 11. Properties as Sets
Russell refuted Frege's principle that there is a set for each property [Russell, by Sorensen]
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]
10. Modality / E. Possible worlds / 1. Possible Worlds / a. Possible worlds
A Tarskian model can be seen as a possible state of affairs [Horsten/Pettigrew]
The 'spheres model' was added to possible worlds, to cope with counterfactuals [Horsten/Pettigrew]
10. Modality / E. Possible worlds / 1. Possible Worlds / b. Impossible worlds
Epistemic logic introduced impossible worlds [Horsten/Pettigrew]
10. Modality / E. Possible worlds / 1. Possible Worlds / e. Against possible worlds
Possible worlds models contain sets of possible worlds; this is a large metaphysical commitment [Horsten/Pettigrew]
Using possible worlds for knowledge and morality may be a step too far [Horsten/Pettigrew]
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 / C. Content / 6. Broad Content
We don't assert private thoughts; the objects are part of what we assert [Russell]
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]
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 / 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]