Ideas from 'Counting and the Natural Numbers' by Jeffrey H. Sicha [1968], by Theme Structure

[found in 'Philosophy of Science' (ed/tr -) [- ,]].

green numbers give full details    |     back to texts     |     expand these 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

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

17424

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

17425

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