Combining Philosophers

All the ideas for H.Putnam/P.Oppenheim, JP Burgess / G Rosen and Miranda Fricker

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24 ideas

3. Truth / H. Deflationary Truth / 2. Deflationary Truth
'True' is only occasionally useful, as in 'everything Fermat believed was true' [Burgess/Rosen]
4. Formal Logic / D. Modal Logic ML / 1. Modal Logic
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
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
Mereology implies that acceptance of entities entails acceptance of conglomerates [Burgess/Rosen]
5. Theory of Logic / E. Structures of Logic / 6. Relations in Logic
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
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
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
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
Number words became nouns around the time of Plato [Burgess/Rosen]
7. Existence / C. Structure of Existence / 7. Abstract/Concrete / a. Abstract/concrete
Abstract/concrete is a distinction of kind, not degree [Burgess/Rosen]
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
Mathematics has ascended to higher and higher levels of abstraction [Burgess/Rosen]
Abstraction is on a scale, of sets, to attributes, to type-formulas, to token-formulas [Burgess/Rosen]
11. Knowledge Aims / A. Knowledge / 4. Belief / a. Beliefs
It is necessary for a belief that it be held for a length of time [Fricker,M]
13. Knowledge Criteria / B. Internal Justification / 1. Epistemic virtues
Offering knowledge needs accuracy and sincerity; receiving it needs testimonial justice [Fricker,M]
13. Knowledge Criteria / C. External Justification / 7. Testimony
Testimonial judgement is not logical, but produces reasons and motivations [Fricker,M]
Burge says we are normally a priori entitled to believe testimony [Fricker,M]
We assess testimonial probabilities by the speaker, the listener, the facts, and the circumstances [Fricker,M]
Assessing credibility involves the impact of both the speaker's and the listener's social identity [Fricker,M]
14. Science / D. Explanation / 2. Types of Explanation / j. Explanations by reduction
Six reduction levels: groups, lives, cells, molecules, atoms, particles [Putnam/Oppenheim, by Watson]
18. Thought / A. Modes of Thought / 6. Judgement / a. Nature of Judgement
Judgements can be unreflective and non-inferential, yet rational, by being sensitive to experience [Fricker,M]
18. Thought / E. Abstraction / 2. Abstracta by Selection
The old debate classified representations as abstract, not entities [Burgess/Rosen]
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / g. Moral responsibility
To judge agents in remote times and cultures we need a moral resentment weaker than blame [Fricker,M]
27. Natural Reality / C. Space / 2. Space
If space is really just a force-field, then it is a physical entity [Burgess/Rosen]