Ideas of Palle Yourgrau, by Theme

[American, fl. 1985, Professor at Brandeis University.]

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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

17822

Nothing is 'intrinsically' numbered

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

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

17821

You can ask all sorts of numerical questions about any one given set