Combining Philosophers

All the ideas for Hermarchus, Henri Poincar and Miranda Fricker

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15 ideas

6. Mathematics / A. Nature of Mathematics / 2. Geometry
One geometry cannot be more true than another [Poincaré]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / d. Actual infinite
Poincaré rejected the actual infinite, claiming definitions gave apparent infinity to finite objects [Poincaré, by Lavine]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism
Mathematicians do not study objects, but relations between objects [Poincaré]
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / a. Constructivism
Convention, yes! Arbitrary, no! [Poincaré, by Putnam]
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / d. Predicativism
Avoid non-predicative classifications and definitions [Poincaré]
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]
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]
25. Social Practice / F. Life Issues / 6. Animal Rights
Animals are dangerous and nourishing, and can't form contracts of justice [Hermarchus, by Sedley]
26. Natural Theory / D. Laws of Nature / 11. Against Laws of Nature
The aim of science is just to create a comprehensive, elegant language to describe brute facts [Poincaré, by Harré]