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Ideas for 'Thinking About Mathematics', 'New Essays on Human Understanding' and 'Grounding, Transitivity and Contrastivity'

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4 ideas

6. Mathematics / A. Nature of Mathematics / 2. Geometry
Geometry, unlike sensation, lets us glimpse eternal truths and their necessity [Leibniz]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / b. Types of number
The number 3 is presumably identical as a natural, an integer, a rational, a real, and complex [Shapiro]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / h. Reals from Cauchy
Cauchy gave a formal definition of a converging sequence. [Shapiro]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / a. Units
Only whole numbers are multitudes of units [Leibniz]