Combining Texts

All the ideas for 'On Sufficient Reason', 'On boundary numbers and domains of sets' and 'Philosophical Remarks'

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

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8 ideas

2. Reason / B. Laws of Thought / 1. Laws of Thought

19404

Necessities rest on contradiction, and contingencies on sufficient reason [Leibniz]

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]

9. Objects / A. Existence of Objects / 3. Objects in Thought

22320

An 'object' is just what can be referred to without possible non-existence [Wittgenstein]

19. Language / A. Nature of Meaning / 2. Meaning as Mental

18283

Language pictures the essence of the world [Wittgenstein]

19. Language / A. Nature of Meaning / 5. Meaning as Verification

18282

You can't believe it if you can't imagine a verification for it [Wittgenstein]

26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / c. Essence and laws

19403

Each of the infinite possible worlds has its own laws, and the individuals contain those laws [Leibniz]