Combining Texts

All the ideas for 'Why coherence is not enough', 'New Proof of Possibility of Well-Ordering' and 'The Foundations of Mathematics'

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4 ideas

5. Theory of Logic / D. Assumptions for Logic / 2. Excluded Middle
You would cripple mathematics if you denied Excluded Middle [Hilbert]
13. Knowledge Criteria / A. Justification Problems / 2. Justification Challenges / a. Agrippa's trilemma
There are five possible responses to the problem of infinite regress in justification [Cleve]
13. Knowledge Criteria / B. Internal Justification / 4. Foundationalism / a. Foundationalism
Modern foundationalists say basic beliefs are fallible, and coherence is relevant [Cleve]
18. Thought / A. Modes of Thought / 6. Judgement / a. Nature of Judgement
We should judge principles by the science, not science by some fixed principles [Zermelo]