Combining Texts

All the ideas for 'Philosophy and Scientific Image of Man', 'Ethics without Principles' 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

1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / c. Philosophy as generalisation

21829

Philosophy aims to understand how things (broadly understood) hang together (broadly understood) [Sellars]

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 / 2. Reduction

6550	Reduction requires that an object's properties consist of its constituents' properties and relations [Sellars]

22. Metaethics / B. Value / 1. Nature of Value / a. Nature of value

18681

The base for values has grounds, catalysts and intensifiers [Dancy,J, by Orsi]