Combining Texts
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'Being and Nothingness', 'Guidebook to Wittgenstein's Tractatus' and 'A Tour through Mathematical Logic'
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5 ideas
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / e. Ordinal numbers
13530
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An ordinal is an equivalence class of well-orderings, or a transitive set whose members are transitive [Wolf,RS]
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6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure
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Discriminating things for counting implies concepts of identity and distinctness [Morris,M]
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23451
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Counting needs to distinguish things, and also needs the concept of a successor in a series [Morris,M]
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To count, we must distinguish things, and have a series with successors in it [Morris,M]
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6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
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Modern mathematics has unified all of its objects within set theory [Wolf,RS]
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