Combining Texts

All the ideas for 'Aristotle's Theory of Substance', 'Isolation and Non-arbitrary Division' and 'The Theory of Transfinite Numbers'

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10 ideas

4. Formal Logic / F. Set Theory ST / 1. Set Theory
9616 A set is a collection into a whole of distinct objects of our intuition or thought [Cantor]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / a. Units
17435 Objects do not naturally form countable units [Koslicki]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure
17433 We can still count squares, even if they overlap [Koslicki]
17439 There is no deep reason why we count carrots but not asparagus [Koslicki]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / d. Counting via concepts
17434 We struggle to count branches and waves because our concepts lack clear boundaries [Koslicki]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / f. Uncountable infinities
15896 Cantor needed Power Set for the reals, but then couldn't count the new collections [Cantor, by Lavine]
7. Existence / C. Structure of Existence / 8. Stuff / a. Pure stuff
17436 We talk of snow as what stays the same, when it is a heap or drift or expanse [Koslicki]
8. Modes of Existence / B. Properties / 3. Types of Properties
12354 A 'categorial' property is had by virtue of being or having an item from a category [Wedin]
9. Objects / B. Unity of Objects / 2. Substance / d. Substance defined
12358 Substance is a principle and a kind of cause [Wedin]
9. Objects / C. Structure of Objects / 2. Hylomorphism / a. Hylomorphism
12346 Form explains why some matter is of a certain kind, and that is explanatory bedrock [Wedin]