Combining Texts

All the ideas for 'People and Their Bodies', 'On boundary numbers and domains of sets' and 'Nominalism'

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 / 3. Types of Set / c. Unit (Singleton) Sets

8956	What is a singleton set, if a set is meant to be a collection of objects? [Szabó]

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]

7. Existence / C. Structure of Existence / 7. Abstract/Concrete / a. Abstract/concrete

8953	Abstract entities don't depend on their concrete entities ...but maybe on the totality of concrete things [Szabó]

9. Objects / E. Objects over Time / 5. Temporal Parts

16209

How can point-duration slices of people have beliefs or desires? [Thomson]

15. Nature of Minds / C. Capacities of Minds / 3. Abstraction by mind

8954	Geometrical circles cannot identify a circular paint patch, presumably because they lack something [Szabó]

18. Thought / E. Abstraction / 5. Abstracta by Negation

8955	Abstractions are imperceptible, non-causal, and non-spatiotemporal (the third explaining the others) [Szabó]