Combining Texts

All the ideas for 'fragments/reports', 'Aristotle's Theory of Substance' and 'Introduction to Zermelo's 1930 paper'

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9 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets

17833

The first-order ZF axiomatisation is highly non-categorical [Hallett,M]

17834

Non-categoricity reveals a sort of incompleteness, with sets existing that the axioms don't reveal [Hallett,M]

4. Formal Logic / F. Set Theory ST / 7. Natural Sets

17837

Zermelo allows ur-elements, to enable the widespread application of set-theory [Hallett,M]

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / g. Continuum Hypothesis

17836

The General Continuum Hypothesis and its negation are both consistent with ZF [Hallett,M]

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]

26. Natural Theory / A. Speculations on Nature / 5. Infinite in Nature

1748	Archelaus was the first person to say that the universe is boundless [Archelaus, by Diog. Laertius]

27. Natural Reality / G. Biology / 3. Evolution

5989	Archelaus said life began in a primeval slime [Archelaus, by Schofield]