Combining Philosophers

All the ideas for Augustin-Louis Cauchy, Gideon Rosen and Ofra Magidor

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82 ideas

1. Philosophy / F. Analytic Philosophy / 5. Linguistic Analysis
Philosophers are often too fussy about words, dismissing perfectly useful ordinary terms [Rosen]
2. Reason / D. Definition / 1. Definitions
Figuring in the definition of a thing doesn't make it a part of that thing [Rosen]
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]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / c. Axiom of Pairing II
Pairing (with Extensionality) guarantees an infinity of sets, just from a single element [Rosen]
5. Theory of Logic / K. Features of Logics / 10. Monotonicity
Explanations fail to be monotonic [Rosen]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / k. Infinitesimals
Values that approach zero, becoming less than any quantity, are 'infinitesimals' [Cauchy]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / l. Limits
When successive variable values approach a fixed value, that is its 'limit' [Cauchy]
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 / C. Structure of Existence / 1. Grounding / a. Nature of grounding
Things could be true 'in virtue of' others as relations between truths, or between truths and items [Rosen]
7. Existence / D. Theories of Reality / 8. Facts / a. Facts
Facts are structures of worldly items, rather like sentences, individuated by their ingredients [Rosen]
8. Modes of Existence / B. Properties / 4. Intrinsic Properties
An 'intrinsic' property is one that depends on a thing and its parts, and not on its relations [Rosen]
9. Objects / A. Existence of Objects / 2. Abstract Objects / d. Problems with abstracta
How we refer to abstractions is much less clear than how we refer to other things [Rosen]
9. Objects / A. Existence of Objects / 4. Impossible objects
A Meinongian principle might say that there is an object for any modest class of properties [Rosen]
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 / A. Necessity / 5. Metaphysical Necessity
Metaphysical necessity is absolute and universal; metaphysical possibility is very tolerant [Rosen]
'Metaphysical' modality is the one that makes the necessity or contingency of laws of nature interesting [Rosen]
Sets, universals and aggregates may be metaphysically necessary in one sense, but not another [Rosen]
The excellent notion of metaphysical 'necessity' cannot be defined [Rosen]
Standard Metaphysical Necessity: P holds wherever the actual form of the world holds [Rosen]
Non-Standard Metaphysical Necessity: when ¬P is incompatible with the nature of things [Rosen]
10. Modality / A. Necessity / 6. Logical Necessity
Something may be necessary because of logic, but is that therefore a special sort of necessity? [Rosen]
10. Modality / B. Possibility / 3. Combinatorial possibility
Combinatorial theories of possibility assume the principles of combination don't change across worlds [Rosen]
10. Modality / C. Sources of Modality / 1. Sources of Necessity
Are necessary truths rooted in essences, or also in basic grounding laws? [Rosen]
10. Modality / D. Knowledge of Modality / 4. Conceivable as Possible / a. Conceivable as possible
A proposition is 'correctly' conceivable if an ominiscient being could conceive it [Rosen]
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 / E. Abstraction / 2. Abstracta by Selection
The Way of Abstraction used to say an abstraction is an idea that was formed by abstracting [Rosen]
18. Thought / E. Abstraction / 5. Abstracta by Negation
Nowadays abstractions are defined as non-spatial, causally inert things [Rosen]
Chess may be abstract, but it has existed in specific space and time [Rosen]
Sets are said to be abstract and non-spatial, but a set of books can be on a shelf [Rosen]
18. Thought / E. Abstraction / 6. Abstracta by Conflation
Conflating abstractions with either sets or universals is a big claim, needing a big defence [Rosen]
18. Thought / E. Abstraction / 7. Abstracta by Equivalence
Functional terms can pick out abstractions by asserting an equivalence relation [Rosen]
Abstraction by equivalence relationships might prove that a train is an abstract entity [Rosen]
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 / E. Analyticity / 1. Analytic Propositions
'Bachelor' consists in or reduces to 'unmarried' male, but not the other way around [Rosen]
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]
26. Natural Theory / D. Laws of Nature / 4. Regularities / b. Best system theory
The MRL view says laws are the theorems of the simplest and strongest account of the world [Rosen]
27. Natural Reality / F. Chemistry / 1. Chemistry
An acid is just a proton donor [Rosen]