Combining Texts

All the ideas for 'Counting and the Natural Numbers', 'Explanations in reply to Mr Bradley' and 'The Problem of Natural Laws'

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5 ideas

1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / a. Philosophy as worldly
23025 Philosophers should be more inductive, and test results by their conclusions, not their self-evidence [Russell]
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 / D. Laws of Nature / 3. Laws and Generalities
4800 Natural laws result from eliminative induction, where enumerative induction gives generalisations [Cohen,LJ, by Psillos]