Combining Philosophers

All the ideas for Giordano Bruno, R Kaplan / E Kaplan and Jonathan Kvanvig

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17 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / j. Axiom of Choice IX
15717 Using Choice, you can cut up a small ball and make an enormous one from the pieces [Kaplan/Kaplan]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / b. Types of number
15712 1 and 0, then add for naturals, subtract for negatives, divide for rationals, take roots for irrationals [Kaplan/Kaplan]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers
15711 The rationals are everywhere - the irrationals are everywhere else [Kaplan/Kaplan]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / f. Arithmetic
15714 'Commutative' laws say order makes no difference; 'associative' laws say groupings make no difference [Kaplan/Kaplan]
15715 'Distributive' laws say if you add then multiply, or multiply then add, you get the same result [Kaplan/Kaplan]
11. Knowledge Aims / A. Knowledge / 1. Knowledge
19566 Epistemology does not just concern knowledge; all aspects of cognitive activity are involved [Kvanvig]
11. Knowledge Aims / A. Knowledge / 2. Understanding
19261 Understanding is seeing coherent relationships in the relevant information [Kvanvig]
11. Knowledge Aims / A. Knowledge / 5. Aiming at Truth
19568 Making sense of things, or finding a good theory, are non-truth-related cognitive successes [Kvanvig]
13. Knowledge Criteria / A. Justification Problems / 1. Justification / c. Defeasibility
19567 The 'defeasibility' approach says true justified belief is knowledge if no undermining facts could be known [Kvanvig]
13. Knowledge Criteria / A. Justification Problems / 3. Internal or External / a. Pro-internalism
19679 'Access' internalism says responsibility needs access; weaker 'mentalism' needs mental justification [Kvanvig]
13. Knowledge Criteria / B. Internal Justification / 1. Epistemic virtues
19730 Epistemic virtues: love of knowledge, courage, caution, autonomy, practical wisdom... [Kvanvig]
19731 If epistemic virtues are faculties or powers, that doesn't explain propositional knowledge [Kvanvig]
19732 The value of good means of attaining truth are swamped by the value of the truth itself [Kvanvig]
13. Knowledge Criteria / B. Internal Justification / 4. Foundationalism / a. Foundationalism
19678 Strong foundationalism needs strict inferences; weak version has induction, explanation, probability [Kvanvig]
13. Knowledge Criteria / C. External Justification / 3. Reliabilism / b. Anti-reliabilism
19570 Reliabilism cannot assess the justification for propositions we don't believe [Kvanvig]
14. Science / C. Induction / 3. Limits of Induction
15713 The first million numbers confirm that no number is greater than a million [Kaplan/Kaplan]
29. Religion / A. Polytheistic Religion / 2. Greek Polytheism
9287 Bruno said that ancient Egyptian magic was the true religion [Bruno, by Yates]