Combining Texts

All the ideas for 'German Philosophy: a very short introduction', 'On the Natural Faculties' 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]

11. Knowledge Aims / C. Knowing Reality / 3. Idealism / b. Transcendental idealism

22049

Transcendental idealism aims to explain objectivity through subjectivity [Bowie]

11. Knowledge Aims / C. Knowing Reality / 3. Idealism / d. Absolute idealism

22055

The Idealists saw the same unexplained spontaneity in Kant's judgements and choices [Bowie]

22054

German Idealism tried to stop oppositions of appearances/things and receptivity/spontaneity [Bowie]

22056

Crucial to Idealism is the idea of continuity between receptivity and spontaneous judgement [Bowie]

15. Nature of Minds / C. Capacities of Minds / 1. Faculties

21799

We just use the word 'faculty' when we don't know the psychological cause [Galen]