Combining Texts

All the ideas for 'Against Coherence', 'Reply to Foucher' and 'Constructibility and Mathematical Existence'

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11 ideas

4. Formal Logic / F. Set Theory ST / 8. Critique of Set Theory
8758 We could talk of open sentences, instead of sets [Chihara, by Shapiro]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / d. Actual infinite
19406 I strongly believe in the actual infinite, which indicates the perfections of its author [Leibniz]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / b. Type theory
10265 Chihara's system is a variant of type theory, from which he can translate sentences [Chihara, by Shapiro]
8759 We can replace type theory with open sentences and a constructibility quantifier [Chihara, by Shapiro]
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / a. Constructivism
10264 Introduce a constructibility quantifiers (Cx)Φ - 'it is possible to construct an x such that Φ' [Chihara, by Shapiro]
13. Knowledge Criteria / B. Internal Justification / 5. Coherentism / a. Coherence as justification
21515 Incoherence may be more important for enquiry than coherence [Olsson]
21514 Coherence is the capacity to answer objections [Olsson]
13. Knowledge Criteria / B. Internal Justification / 5. Coherentism / c. Coherentism critique
21496 Mere agreement of testimonies is not enough to make truth very likely [Olsson]
21499 Coherence is only needed if the information sources are not fully reliable [Olsson]
21502 A purely coherent theory cannot be true of the world without some contact with the world [Olsson]
21512 Extending a system makes it less probable, so extending coherence can't make it more probable [Olsson]