Combining Texts

Ideas for 'works', 'Logicism Revisited' and 'Counting and the Natural Numbers'

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6 ideas

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / d. Natural numbers

17423

The essence of natural numbers must reflect all the functions they perform [Sicha]

6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure

17425

To know how many, you need a numerical quantifier, as well as equinumerosity [Sicha]

17424

Counting puts an initial segment of a serial ordering 1-1 with some other entities [Sicha]

6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / d. Peano arithmetic

10058

No two numbers having the same successor relies on the Axiom of Infinity [Musgrave]

6. Mathematics / C. Sources of Mathematics / 7. Formalism

10062

Formalism seems to exclude all creative, growing mathematics [Musgrave]

10063

Formalism is a bulwark of logical positivism [Musgrave]