Combining Philosophers

All the ideas for Charles Darwin, Palle Yourgrau and Michael Tye

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7 ideas

6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure
How many? must first partition an aggregate into sets, and then logic fixes its number [Yourgrau]
Nothing is 'intrinsically' numbered [Yourgrau]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / c. Fregean numbers
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
We can't use sets as foundations for mathematics if we must await results from the upper reaches [Yourgrau]
You can ask all sorts of numerical questions about any one given set [Yourgrau]
12. Knowledge Sources / B. Perception / 4. Sense Data / b. Nature of sense-data
Are sense-data independent, with identity, substance and location? [Tye]
14. Science / D. Explanation / 3. Best Explanation / a. Best explanation
A false theory could hardly rival the explanatory power of natural selection [Darwin]