Combining Texts

Ideas for 'fragments/reports', 'Guidebook to Wittgenstein's Tractatus' and 'Metaphysics: the logical approach'

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6 ideas

6. Mathematics / A. Nature of Mathematics / 2. Geometry

3332	Greeks saw the science of proportion as the link between geometry and arithmetic [Benardete,JA]

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / b. Types of number

3330	Negatives, rationals, irrationals and imaginaries are all postulated to solve baffling equations [Benardete,JA]

3337	Natural numbers are seen in terms of either their ordinality (Peano), or cardinality (set theory) [Benardete,JA]

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

23451

Counting needs to distinguish things, and also needs the concept of a successor in a series [Morris,M]

23460

To count, we must distinguish things, and have a series with successors in it [Morris,M]

23452

Discriminating things for counting implies concepts of identity and distinctness [Morris,M]