Combining Philosophers

All the ideas for Palle Yourgrau, Ernest Nagel and Pherecydes

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8 ideas

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]
7. Existence / C. Structure of Existence / 2. Reduction
3425 Reduction has been defined as deriving one theory from another by logic and maths [Nagel,E, by Kim]
26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / c. Ultimate substances
22745 Pherecydes said the first principle and element is earth [Pherecydes, by Sext.Empiricus]
29. Religion / D. Religious Issues / 2. Immortality / a. Immortality
5883 Pherecydes was the first to say that the soul is eternal [Pherecydes, by Cicero]