Combining Texts

All the ideas for 'Introduction to 'Virtues of Authenticity'', 'Completeness of Axioms of Logic' and 'Paradoxes of the Infinite'

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

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6 ideas

4. Formal Logic / C. Predicate Calculus PC / 3. Completeness of PC

17751

Gödel proved the completeness of first order predicate logic in 1930 [Gödel, by Walicki]

4. Formal Logic / F. Set Theory ST / 1. Set Theory

9987	An aggregate in which order does not matter I call a 'set' [Bolzano]

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / a. The Infinite

10856

A truly infinite quantity does not need to be a variable [Bolzano]

8. Modes of Existence / D. Universals / 6. Platonic Forms / a. Platonic Forms

17945

Forms are not a theory of universals, but an attempt to explain how predication is possible [Nehamas]

8. Modes of Existence / D. Universals / 6. Platonic Forms / b. Partaking

17946

Only Tallness really is tall, and other inferior tall things merely participate in the tallness [Nehamas]

11. Knowledge Aims / A. Knowledge / 2. Understanding

17944

'Episteme' is better translated as 'understanding' than as 'knowledge' [Nehamas]