Combining Texts

All the ideas for 'Dialektik', 'On the Individuation of Attributes' and 'On boundary numbers and domains of sets'

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

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8 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 / 12. Denial of Properties

18439

Because things can share attributes, we cannot individuate attributes clearly [Quine]

8. Modes of Existence / E. Nominalism / 5. Class Nominalism

18442

You only know an attribute if you know what things have it [Quine]

9. Objects / A. Existence of Objects / 5. Individuation / a. Individuation

18441

No entity without identity (which requires a principle of individuation) [Quine]

9. Objects / F. Identity among Objects / 6. Identity between Objects

18440

Identity of physical objects is just being coextensive [Quine]

19. Language / E. Analyticity / 4. Analytic/Synthetic Critique

20959

Concepts are only analytic once the predicate is absorbed into the subject [Schleiermacher]