Combining Texts

All the ideas for 'Set Theory and related topics (2nd ed)', 'The Philosophy of the Inductive Sciences' and 'Cours d'Analyse'

expand these ideas     |    start again     |     specify just one area for these texts

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4 ideas

4. Formal Logic / F. Set Theory ST / 3. Types of Set / e. Equivalence classes

8920	Equivalence relations are reflexive, symmetric and transitive, and classify similar objects [Lipschutz]

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / k. Infinitesimals

18085

Values that approach zero, becoming less than any quantity, are 'infinitesimals' [Cauchy]

6. Mathematics / A. Nature of Mathematics / 5. The Infinite / l. Limits

18084

When successive variable values approach a fixed value, that is its 'limit' [Cauchy]

14. Science / D. Explanation / 2. Types of Explanation / d. Consilience

20643

Consilience is a common groundwork of explanation [Whewell]