Combining Philosophers

All the ideas for Thrasymachus, Miranda Fricker and William W. Tait

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18 ideas

1. Philosophy / F. Analytic Philosophy / 7. Limitations of Analysis
Analytic philosophy focuses too much on forms of expression, instead of what is actually said [Tait]
4. Formal Logic / F. Set Theory ST / 3. Types of Set / b. Empty (Null) Set
The null set was doubted, because numbering seemed to require 'units' [Tait]
4. Formal Logic / F. Set Theory ST / 7. Natural Sets
We can have a series with identical members [Tait]
5. Theory of Logic / K. Features of Logics / 1. Axiomatisation
Mathematics must be based on axioms, which are true because they are axioms, not vice versa [Tait, by Parsons,C]
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]
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
Abstraction is 'logical' if the sense and truth of the abstraction depend on the concrete [Tait]
Cantor and Dedekind use abstraction to fix grammar and objects, not to carry out proofs [Tait]
18. Thought / E. Abstraction / 7. Abstracta by Equivalence
Abstraction may concern the individuation of the set itself, not its elements [Tait]
18. Thought / E. Abstraction / 8. Abstractionism Critique
Why should abstraction from two equipollent sets lead to the same set of 'pure units'? [Tait]
If abstraction produces power sets, their identity should imply identity of the originals [Tait]
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]
28. God / C. Attitudes to God / 3. Deism
Clearly the gods ignore human affairs, or they would have given us justice [Thrasymachus]