Combining Texts

All the ideas for 'Jerry A. Fodor on himself', 'A Structural Account of Mathematics' and 'In Metaphysics'

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26 ideas

4. Formal Logic / F. Set Theory ST / 3. Types of Set / b. Empty (Null) Set
We only know relational facts about the empty set, but nothing intrinsic [Chihara]
In simple type theory there is a hierarchy of null sets [Chihara]
Realists about sets say there exists a null set in the real world, with no members [Chihara]
The null set is a structural position which has no other position in membership relation [Chihara]
4. Formal Logic / F. Set Theory ST / 3. Types of Set / c. Unit (Singleton) Sets
What is special about Bill Clinton's unit set, in comparison with all the others? [Chihara]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / a. Sets as existing
The set theorist cannot tell us what 'membership' is [Chihara]
4. Formal Logic / F. Set Theory ST / 7. Natural Sets
ZFU refers to the physical world, when it talks of 'urelements' [Chihara]
4. Formal Logic / F. Set Theory ST / 8. Critique of Set Theory
A pack of wolves doesn't cease when one member dies [Chihara]
5. Theory of Logic / E. Structures of Logic / 6. Relations in Logic
The mathematics of relations is entirely covered by ordered pairs [Chihara]
5. Theory of Logic / K. Features of Logics / 2. Consistency
Sentences are consistent if they can all be true; for Frege it is that no contradiction can be deduced [Chihara]
6. Mathematics / B. Foundations for Mathematics / 3. Axioms for Geometry
Analytic geometry gave space a mathematical structure, which could then have axioms [Chihara]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / c. Nominalist structuralism
We can replace existence of sets with possibility of constructing token sentences [Chihara, by MacBride]
7. Existence / A. Nature of Existence / 6. Criterion for Existence
Are things distinct if they are both separate, or if only one of them can be separate? [Duns Scotus, by Pasnau]
7. Existence / D. Theories of Reality / 11. Ontological Commitment / e. Ontological commitment problems
If a successful theory confirms mathematics, presumably a failed theory disconfirms it? [Chihara]
No scientific explanation would collapse if mathematical objects were shown not to exist [Chihara]
9. Objects / B. Unity of Objects / 2. Substance / a. Substance
Substance is only grasped under the general heading of 'being' [Duns Scotus]
12. Knowledge Sources / D. Empiricism / 2. Associationism
Associations are held to connect Ideas together in the way the world is connected together [Fodor]
15. Nature of Minds / B. Features of Minds / 4. Intentionality / b. Intentionality theories
Intentional science needs objects with semantic and causal properties, and which obey laws [Fodor]
Intentional states and processes may be causal relations among mental symbols [Fodor]
17. Mind and Body / E. Mind as Physical / 7. Anti-Physicalism / b. Multiple realisability
Most psychological properties seem to be multiply realisable [Fodor]
18. Thought / A. Modes of Thought / 4. Folk Psychology
Folk psychology explains behaviour by reference to intentional states like belief and desire [Fodor]
18. Thought / C. Content / 6. Broad Content
How could the extrinsic properties of thoughts supervene on their intrinsic properties? [Fodor]
18. Thought / E. Abstraction / 7. Abstracta by Equivalence
I prefer the open sentences of a Constructibility Theory, to Platonist ideas of 'equivalence classes' [Chihara]
19. Language / B. Reference / 3. Direct Reference / b. Causal reference
Mathematical entities are causally inert, so the causal theory of reference won't work for them [Chihara]
26. Natural Theory / D. Laws of Nature / 9. Counterfactual Claims
Laws are true generalisations which support counterfactuals and are confirmed by instances [Fodor]
27. Natural Reality / B. Modern Physics / 4. Standard Model / a. Concept of matter
'Gunk' is an individual possessing no parts that are atoms [Chihara]