Combining Philosophers

All the ideas for JP Burgess / G Rosen, Hamid Vahid and Paul M. Pietroski

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25 ideas

3. Truth / H. Deflationary Truth / 2. Deflationary Truth
9921 'True' is only occasionally useful, as in 'everything Fermat believed was true' [Burgess/Rosen]
4. Formal Logic / D. Modal Logic ML / 1. Modal Logic
9924 Modal logic gives an account of metalogical possibility, not metaphysical possibility [Burgess/Rosen]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / d. Naïve logical sets
9933 The paradoxes are only a problem for Frege; Cantor didn't assume every condition determines a set [Burgess/Rosen]
4. Formal Logic / G. Formal Mereology / 1. Mereology
9928 Mereology implies that acceptance of entities entails acceptance of conglomerates [Burgess/Rosen]
5. Theory of Logic / E. Structures of Logic / 6. Relations in Logic
9926 A relation is either a set of sets of sets, or a set of sets [Burgess/Rosen]
5. Theory of Logic / L. Paradox / 5. Paradoxes in Set Theory / a. Set theory paradoxes
9932 The paradoxes no longer seem crucial in critiques of set theory [Burgess/Rosen]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / a. Numbers
9923 We should talk about possible existence, rather than actual existence, of numbers [Burgess/Rosen]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / c. Nominalist structuralism
9925 Structuralism and nominalism are normally rivals, but might work together [Burgess/Rosen]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / b. Against mathematical platonism
9934 Number words became nouns around the time of Plato [Burgess/Rosen]
7. Existence / C. Structure of Existence / 7. Abstract/Concrete / a. Abstract/concrete
9918 Abstract/concrete is a distinction of kind, not degree [Burgess/Rosen]
9929 Much of what science says about concrete entities is 'abstraction-laden' [Burgess/Rosen]
7. Existence / C. Structure of Existence / 7. Abstract/Concrete / b. Levels of abstraction
9927 Mathematics has ascended to higher and higher levels of abstraction [Burgess/Rosen]
9930 Abstraction is on a scale, of sets, to attributes, to type-formulas, to token-formulas [Burgess/Rosen]
11. Knowledge Aims / A. Knowledge / 1. Knowledge
19712 Maybe there is plain 'animal' knowledge, and clearly justified 'reflective' knowledge [Vahid]
13. Knowledge Criteria / A. Justification Problems / 1. Justification / a. Justification issues
19703 Epistemic is normally marked out from moral or pragmatic justifications by its truth-goal [Vahid]
13. Knowledge Criteria / A. Justification Problems / 3. Internal or External / a. Pro-internalism
19705 'Mentalist' internalism seems to miss the main point, if it might not involve an agent's access [Vahid]
19706 Strong access internalism needs actual awareness; weak versions need possibility of access [Vahid]
19707 Maybe we need access to our justification, and also to know why it justifies [Vahid]
13. Knowledge Criteria / A. Justification Problems / 3. Internal or External / b. Pro-externalism
19709 Internalism in epistemology over-emphasises deliberation about beliefs [Vahid]
13. Knowledge Criteria / C. External Justification / 1. External Justification
19704 Externalism may imply that identical mental states might go with different justifications [Vahid]
13. Knowledge Criteria / C. External Justification / 4. Tracking the Facts
19710 With a counterfactual account of the causal theory, we get knowledge as tracking or sensitive to truth [Vahid]
13. Knowledge Criteria / C. External Justification / 10. Anti External Justification
19711 Externalism makes the acquisition of knowledge too easy? [Vahid]
18. Thought / E. Abstraction / 2. Abstracta by Selection
9919 The old debate classified representations as abstract, not entities [Burgess/Rosen]
19. Language / B. Reference / 5. Speaker's Reference
21650 No language is semantically referential; it all occurs at the level of thought or utterance [Pietroski, by Hofweber]
27. Natural Reality / C. Space / 2. Space
9922 If space is really just a force-field, then it is a physical entity [Burgess/Rosen]