Combining Texts

All the ideas for 'Reals by Abstraction', 'Frege's Theory of Numbers' and 'History of Ancient Art'

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3 ideas

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers
The real numbers may be introduced by abstraction as ratios of quantities [Hale, by Hale/Wright]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure
Parsons says counting is tagging as first, second, third..., and converting the last to a cardinal [Parsons,C, by Heck]
21. Aesthetics / B. Nature of Art / 4. Art as Expression
Art aims only at beauty, of form, of idea, and (above all) of expression [Winckelmann, by Tolstoy]