Combining Texts

All the ideas for 'Natural Kinds and Biological Realism', 'Counting and the Natural Numbers' and 'Set Theory and its Logic'

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7 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]

26. Natural Theory / B. Natural Kinds / 1. Natural Kinds

17371

Some kinds are very explanatory, but others less so, and some not at all [Devitt]

27. Natural Reality / G. Biology / 5. Species

17372

The higher categories are not natural kinds, so the Linnaean hierarchy should be given up [Devitt]

17373

Species pluralism says there are several good accounts of what a species is [Devitt]