Combining Texts

All the ideas for 'Critical Common-Sensism', 'Constructibility and Mathematical Existence' and 'Isagoge ('Introduction')'

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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]

8. Modes of Existence / D. Universals / 1. Universals

15034

Are genera and species real or conceptual? bodies or incorporeal? in sensibles or separate from them? [Porphyry]

9. Objects / B. Unity of Objects / 3. Unity Problems / e. Vague objects

14797

Vagueness is a neglected but important part of mathematical thought [Peirce]

14798

All communication is vague, and is outside the principle of non-contradiction [Peirce]