Combining Texts

All the ideas for 'Why coherence is not enough', 'On boundary numbers and domains of sets' and 'Life of Pythagoras'

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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]

13. Knowledge Criteria / A. Justification Problems / 2. Justification Challenges / a. Agrippa's trilemma

8840	There are five possible responses to the problem of infinite regress in justification [Cleve]

13. Knowledge Criteria / B. Internal Justification / 4. Foundationalism / a. Foundationalism

8841	Modern foundationalists say basic beliefs are fallible, and coherence is relevant [Cleve]

28. God / A. Divine Nature / 6. Divine Morality / b. Euthyphro question

1515	Pythagoreans believe it is absurd to seek for goodness anywhere except with the gods [Iamblichus]