Combining Philosophers

All the ideas for Anaxarchus, Georg Kreisel and Terence Horgan

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10 ideas

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / a. The Infinite
Gödel showed that the syntactic approach to the infinite is of limited value [Kreisel]
6. Mathematics / B. Foundations for Mathematics / 1. Foundations for Mathematics
The study of mathematical foundations needs new non-mathematical concepts [Kreisel]
7. Existence / C. Structure of Existence / 5. Supervenience / b. Types of supervenience
'Superdupervenience' is supervenience that has a robustly materialistic explanation [Horgan,T]
'Global' supervenience is facts tracking varying physical facts in every possible world [Horgan,T]
7. Existence / C. Structure of Existence / 5. Supervenience / c. Significance of supervenience
Don't just observe supervenience - explain it! [Horgan,T]
7. Existence / D. Theories of Reality / 6. Physicalism
Physicalism needs more than global supervenience on the physical [Horgan,T]
Materialism requires that physics be causally complete [Horgan,T]
13. Knowledge Criteria / D. Scepticism / 1. Scepticism
Anaxarchus said that he was not even sure that he knew nothing [Anaxarchus, by Diog. Laertius]
14. Science / B. Scientific Theories / 3. Instrumentalism
Instrumentalism normally says some discourse is useful, but not genuinely true [Horgan,T]
27. Natural Reality / C. Space / 3. Points in Space
The natural conception of points ducks the problem of naming or constructing each point [Kreisel]