Combining Philosophers

All the ideas for Anaxarchus, Otto Neurath and Palle Yourgrau

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9 ideas

1. Philosophy / G. Scientific Philosophy / 3. Scientism
7081 Philosophy is not separate from or above empirical science [Neurath]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure
17818 How many? must first partition an aggregate into sets, and then logic fixes its number [Yourgrau]
17822 Nothing is 'intrinsically' numbered [Yourgrau]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / c. Fregean numbers
17817 Defining 'three' as the principle of collection or property of threes explains set theory definitions [Yourgrau]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / b. Mathematics is not set theory
17815 We can't use sets as foundations for mathematics if we must await results from the upper reaches [Yourgrau]
17821 You can ask all sorts of numerical questions about any one given set [Yourgrau]
13. Knowledge Criteria / B. Internal Justification / 4. Foundationalism / f. Foundationalism critique
10486 If we are rebuilding our ship at sea, we should jettison some cargo [Boolos on Neurath]
8485 We must always rebuild our ship on the open sea; we can't reconstruct it properly in dry-dock [Neurath]
13. Knowledge Criteria / D. Scepticism / 1. Scepticism
3061 Anaxarchus said that he was not even sure that he knew nothing [Anaxarchus, by Diog. Laertius]