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'teaching', 'A Tour through Mathematical Logic' and 'Identity'
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4 ideas
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / e. Ordinal numbers
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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 / 3. Nature of Numbers / m. One
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7485
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For Pythagoreans 'one' is not a number, but the foundation of numbers [Pythagoras, by Watson]
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6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure
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16014
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It is controversial whether only 'numerical identity' allows two things to be counted as one [Noonan]
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6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
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13518
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Modern mathematics has unified all of its objects within set theory [Wolf,RS]
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