Combining Texts

All the ideas for 'works', 'Against the Mathematicians' and 'The Foundations of Mathematics'

expand these ideas     |    start again     |     specify just one area for these texts

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4 ideas

5. Theory of Logic / D. Assumptions for Logic / 2. Excluded Middle

18844

You would cripple mathematics if you denied Excluded Middle [Hilbert]

5. Theory of Logic / D. Assumptions for Logic / 3. Contradiction

10121

Contradiction is not a sign of falsity, nor lack of contradiction a sign of truth [Pascal]

13. Knowledge Criteria / B. Internal Justification / 4. Foundationalism / b. Basic beliefs

20795

Some things are their own criterion, such as straightness, a set of scales, or light [Sext.Empiricus]

13. Knowledge Criteria / D. Scepticism / 6. Scepticism Critique

20794

How can sceptics show there is no criterion? Weak without, contradiction with [Sext.Empiricus]