Combining Texts

All the ideas for 'Commentary on Sentences', 'Rechnungsmethoden (dissertation)' and 'The Theory of Transfinite Numbers'

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6 ideas

4. Formal Logic / F. Set Theory ST / 1. Set Theory
A set is a collection into a whole of distinct objects of our intuition or thought [Cantor]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / c. Priority of numbers
Quantity is inconceivable without the idea of addition [Frege]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / f. Uncountable infinities
Cantor needed Power Set for the reals, but then couldn't count the new collections [Cantor, by Lavine]
6. Mathematics / C. Sources of Mathematics / 2. Intuition of Mathematics
Geometry appeals to intuition as the source of its axioms [Frege]
8. Modes of Existence / B. Properties / 8. Properties as Modes
Accidents always remain suited to a subject [Bonaventura]
9. Objects / E. Objects over Time / 6. Successive Things
Successive things reduce to permanent things [Bonaventura]