Combining Texts

All the ideas for 'Phenomenalism', 'A Note on the entscheidungsproblem' and 'On boundary numbers and domains of sets'

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

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6 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 / K. Features of Logics / 7. Decidability

18758

Validity is provable, but invalidity isn't, because the model is infinite [Church, by McGee]

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]

11. Knowledge Aims / C. Knowing Reality / 2. Phenomenalism

2614	Modern phenomenalism holds that objects are logical constructions out of sense-data [Ayer]

12. Knowledge Sources / B. Perception / 4. Sense Data / a. Sense-data theory

2615	The concept of sense-data allows us to discuss appearances without worrying about reality [Ayer]