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Ideas for 'fragments/reports', 'Philosophy of Mathematics' and 'The Philosophy of Leibniz'

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6. Mathematics / A. Nature of Mathematics / 1. Mathematics

10201

Virtually all of mathematics can be modeled in set theory [Shapiro]

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers

10213

Real numbers are thought of as either Cauchy sequences or Dedekind cuts [Shapiro]

18243

Understanding the real-number structure is knowing usage of the axiomatic language of analysis [Shapiro]

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / i. Reals from cuts

18245

Cuts are made by the smallest upper or largest lower number, some of them not rational [Shapiro]