Combining Texts

All the ideas for 'fragments/reports', 'Defending the Axioms' and 'Epistemic Injustice'

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17 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / j. Axiom of Choice IX
17610 The Axiom of Choice paradoxically allows decomposing a sphere into two identical spheres [Maddy]
5. Theory of Logic / C. Ontology of Logic / 3. If-Thenism
17620 Critics of if-thenism say that not all starting points, even consistent ones, are worth studying [Maddy]
5. Theory of Logic / K. Features of Logics / 1. Axiomatisation
17605 Hilbert's geometry and Dedekind's real numbers were role models for axiomatization [Maddy]
17625 If two mathematical themes coincide, that suggest a single deep truth [Maddy]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / g. Continuum Hypothesis
17615 Every infinite set of reals is either countable or of the same size as the full set of reals [Maddy]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
17618 Set-theory tracks the contours of mathematical depth and fruitfulness [Maddy]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / c. Against mathematical empiricism
17614 The connection of arithmetic to perception has been idealised away in modern infinitary mathematics [Maddy]
11. Knowledge Aims / A. Knowledge / 4. Belief / a. Beliefs
23551 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
23558 Offering knowledge needs accuracy and sincerity; receiving it needs testimonial justice [Fricker,M]
13. Knowledge Criteria / C. External Justification / 7. Testimony
23550 Burge says we are normally a priori entitled to believe testimony [Fricker,M]
23552 We assess testimonial probabilities by the speaker, the listener, the facts, and the circumstances [Fricker,M]
23553 Testimonial judgement is not logical, but produces reasons and motivations [Fricker,M]
23555 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
23554 Judgements can be unreflective and non-inferential, yet rational, by being sensitive to experience [Fricker,M]
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / g. Moral responsibility
23557 To judge agents in remote times and cultures we need a moral resentment weaker than blame [Fricker,M]
25. Social Practice / E. Policies / 5. Education / b. Education principles
13304 Learned men gain more in one day than others do in a lifetime [Posidonius]
27. Natural Reality / D. Time / 1. Nature of Time / d. Time as measure
20820 Time is an interval of motion, or the measure of speed [Posidonius, by Stobaeus]