Combining Texts

All the ideas for 'On boundary numbers and domains of sets', 'talk' and 'Truth and Probability'

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 / L. Paradox / 3. Antinomies

17626

The antinomy of endless advance and of completion is resolved in well-ordered transfinite numbers [Zermelo]

10. Modality / B. Possibility / 8. Conditionals / d. Non-truthfunction conditionals

13766

'If' is the same as 'given that', so the degrees of belief should conform to probability theory [Ramsey, by Ramsey]

14. Science / C. Induction / 6. Bayes's Theorem

19143

Ramsey gave axioms for an uncertain agent to decide their preferences [Ramsey, by Davidson]

25. Social Practice / D. Justice / 1. Basis of justice

21229

If everyone is treated with equal injustice, at least that is fair [Morgenbesser]