Combining Texts

All the ideas for 'Set Theory and related topics (2nd ed)', 'Mathematics, Science and Language' and 'Philosophy'

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5 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 / 1. Mathematics

18119

Mathematics is a mental activity which does not use language [Brouwer, by Bostock]

6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / g. Applying mathematics

18118

Brouwer regards the application of mathematics to the world as somehow 'wicked' [Brouwer, by Bostock]

11. Knowledge Aims / A. Knowledge / 7. Knowledge First

23888

Knowledge is beyond question, as an unavoidable component of thinking [Weil]

21. Aesthetics / B. Nature of Art / 1. Defining Art

23887

Art (like philosophy) establishes a relation between world and self, and between oneself and others [Weil]