Combining Texts

All the ideas for 'Croce and Collingwood', 'Counting and the Natural Numbers' and 'Set Theory and its Logic'

expand these ideas     |    start again     |     specify just one area for these texts

---

8 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / p. Axiom of Reducibility

21717

Reducibility undermines type ramification, and is committed to the existence of functions [Quine, by Linsky,B]

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]

21. Aesthetics / A. Aesthetic Experience / 1. Aesthetics

20416

By 1790 aestheticians were mainly trying to explain individual artistic genius [Kemp]

21. Aesthetics / B. Nature of Art / 4. Art as Expression

20417

Expression can be either necessary for art, or sufficient for art (or even both) [Kemp]

20419

We don't already know what to express, and then seek means of expressing it [Kemp]

20418

The horror expressed in some works of art could equallly be expressed by other means [Kemp]