Combining Philosophers

All the ideas for Anaxarchus, Peter Auriol and Georg Kreisel

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7 ideas

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / a. The Infinite
17809 Gödel showed that the syntactic approach to the infinite is of limited value [Kreisel]
6. Mathematics / B. Foundations for Mathematics / 1. Foundations for Mathematics
17810 The study of mathematical foundations needs new non-mathematical concepts [Kreisel]
8. Modes of Existence / A. Relations / 1. Nature of Relations
18528 The single imagined 'interval' between things only exists in the intellect [Auriol]
13. Knowledge Criteria / D. Scepticism / 1. Scepticism
3061 Anaxarchus said that he was not even sure that he knew nothing [Anaxarchus, by Diog. Laertius]
26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / b. Prime matter
16589 Prime matter lacks essence, but is only potentially and indeterminately a physical thing [Auriol]
27. Natural Reality / C. Space / 3. Points in Space
17811 The natural conception of points ducks the problem of naming or constructing each point [Kreisel]
28. God / A. Divine Nature / 4. Divine Contradictions
16651 God can do anything non-contradictory, as making straightness with no line, or lightness with no parts [Auriol]