Combining Texts

All the ideas for 'The philosophical basis of intuitionist logic', 'An Axiomatization of Set Theory' and 'Epistemic Injustice'

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15 ideas

4. Formal Logic / E. Nonclassical Logics / 2. Intuitionist Logic
Dummett says classical logic rests on meaning as truth, while intuitionist logic rests on assertability [Dummett, by Kitcher]
4. Formal Logic / F. Set Theory ST / 5. Conceptions of Set / f. Limitation of Size
Limitation of Size is not self-evident, and seems too strong [Lavine on Neumann]
5. Theory of Logic / G. Quantification / 1. Quantification
Classical quantification is an infinite conjunction or disjunction - but you may not know all the instances [Dummett]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
All the axioms for mathematics presuppose set theory [Neumann]
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
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]
Testimonial judgement is not logical, but produces reasons and motivations [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]
19. Language / A. Nature of Meaning / 4. Meaning as Truth-Conditions
Stating a sentence's truth-conditions is just paraphrasing the sentence [Dummett]
If a sentence is effectively undecidable, we can never know its truth conditions [Dummett]
19. Language / A. Nature of Meaning / 6. Meaning as Use
Meaning as use puts use beyond criticism, and needs a holistic view of language [Dummett]
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]