Combining Texts

All the ideas for 'works', 'Abduction and Induction' and 'Sententia on 'Posterior Analytics''

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7 ideas

6. Mathematics / A. Nature of Mathematics / 1. Mathematics
8717 Hilbert wanted to prove the consistency of all of mathematics (which realists take for granted) [Hilbert, by Friend]
6. Mathematics / C. Sources of Mathematics / 7. Formalism
10113 The grounding of mathematics is 'in the beginning was the sign' [Hilbert]
10115 Hilbert substituted a syntactic for a semantic account of consistency [Hilbert, by George/Velleman]
6. Mathematics / C. Sources of Mathematics / 8. Finitism
10116 Hilbert aimed to prove the consistency of mathematics finitely, to show infinities won't produce contradictions [Hilbert, by George/Velleman]
13. Knowledge Criteria / B. Internal Justification / 5. Coherentism / a. Coherence as justification
22109 The fullest knowledge places a conclusion within an accurate theory [Aquinas, by Kretzmann/Stump]
14. Science / D. Explanation / 3. Best Explanation / a. Best explanation
14790 'Abduction' is beginning a hypothesis, particularly if it includes preference of one explanation over others [Peirce]
14791 Abduction involves original suggestions, and not just the testing involved in induction [Peirce]