Combining Texts

All the ideas for 'The Roots of Reference', 'New system of communication of substances' and 'On boundary numbers and domains of sets'

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

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9 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 / C. Powers and Dispositions / 3. Powers as Derived

14296

Dispositions are physical states of mechanism; when known, these replace the old disposition term [Quine]

8. Modes of Existence / C. Powers and Dispositions / 4. Powers as Essence

13169

I call Aristotle's entelechies 'primitive forces', which originate activity [Leibniz]

13168

My formal unifying atoms are substantial forms, which are forces like appetites [Leibniz]

9. Objects / A. Existence of Objects / 5. Simples

13170

The analysis of things leads to atoms of substance, which found both composition and action [Leibniz]

9. Objects / B. Unity of Objects / 2. Substance / c. Types of substance

13171

Substance must necessarily involve progress and change [Leibniz]

27. Natural Reality / A. Classical Physics / 1. Mechanics / c. Forces

13167

We need the metaphysical notion of force to explain mechanics, and not just extended mass [Leibniz]