Combining Texts

All the ideas for 'On boundary numbers and domains of sets', 'Aristotle on Essence and Explanation' and 'Commentary on Sentences'

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10 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
17832 Zermelo showed that the ZF axioms in 1930 were non-categorical [Zermelo, by Hallett,M]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / h. Axiom of Replacement VII
13028 Replacement was added when some advanced theorems seemed to need it [Zermelo, by Maddy]
5. Theory of Logic / L. Paradox / 3. Antinomies
17626 The antinomy of endless advance and of completion is resolved in well-ordered transfinite numbers [Zermelo]
8. Modes of Existence / B. Properties / 8. Properties as Modes
16643 Accidents always remain suited to a subject [Bonaventura]
9. Objects / D. Essence of Objects / 7. Essence and Necessity / b. Essence not necessities
11993 Jones may cease to exist without some simple property, but that doesn't make it essential [Kung]
9. Objects / D. Essence of Objects / 7. Essence and Necessity / c. Essentials are necessary
11997 A property may belong essentially to one thing and contingently to another [Kung]
9. Objects / D. Essence of Objects / 8. Essence as Explanatory
11992 Aristotelian essences underlie a thing's existence, explain it, and must belong to it [Kung]
9. Objects / E. Objects over Time / 6. Successive Things
16696 Successive things reduce to permanent things [Bonaventura]
14. Science / D. Explanation / 2. Types of Explanation / k. Explanations by essence
11995 Some peripheral properties are explained by essential ones, but don't themselves explain properties [Kung]
11996 Some non-essential properties may explain more than essential-but-peripheral ones do [Kung]