Combining Texts

All the ideas for 'fragments/reports', 'Constructibility and Mathematical Existence' and 'The Value Problem'

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8 ideas

1. Philosophy / A. Wisdom / 1. Nature of Wisdom

19735

Wisdom has a higher value than understanding, which has a higher value than knowledge [Greco]

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 / 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]

10. Modality / A. Necessity / 8. Transcendental Necessity

490	Everything happens by reason and necessity [Leucippus]

13. Knowledge Criteria / A. Justification Problems / 1. Justification / b. Need for justification

19734

If value is practical, knowledge is no better than true opinion [Greco]

13. Knowledge Criteria / C. External Justification / 10. Anti External Justification

19733

Externalist theories don't explain why knowledge has value [Greco]