Combining Texts

All the ideas for 'On boundary numbers and domains of sets', 'talk' and 'The Fragmentation of Reason'

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6 ideas

3. Truth / E. Pragmatic Truth / 1. Pragmatic Truth
Radical pragmatists abandon the notion of truth [Stich, by Lowe]
4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
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
Replacement was added when some advanced theorems seemed to need it [Zermelo, by Maddy]
5. Theory of Logic / L. Paradox / 3. Antinomies
The antinomy of endless advance and of completion is resolved in well-ordered transfinite numbers [Zermelo]
15. Nature of Minds / B. Features of Minds / 1. Consciousness / d. Purpose of consciousness
A very powerful computer might have its operations restricted by the addition of consciousness [Clark,T]
18. Thought / A. Modes of Thought / 5. Rationality / a. Rationality
Stich accepts eliminativism (labelled 'pragmatism') about rationality and normativity [Stich, by Engel]