Combining Texts

All the ideas for '67: Platonic Questions', 'Constructibility and Mathematical Existence' and 'The Scientific Image'

expand these ideas     |    start again     |     specify just one area for these texts

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7 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 / 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 / B. Possibility / 7. Chance

23900

Chance is compatible with necessity, and the two occur together [Weil]

15. Nature of Minds / A. Nature of Mind / 2. Psuche

5960	When the soul is intelligent and harmonious, it is part of god and derives from god [Plutarch]

21. Aesthetics / A. Aesthetic Experience / 4. Beauty

23899

The secret of art is that beauty is a just blend of unity and its opposite [Weil]