Combining Texts

All the ideas for 'Set Theory and related topics (2nd ed)', 'talk' and 'Structuralism Reconsidered'

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4 ideas

4. Formal Logic / F. Set Theory ST / 3. Types of Set / e. Equivalence classes
Equivalence relations are reflexive, symmetric and transitive, and classify similar objects [Lipschutz]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / d. Natural numbers
Numbers are identified by their main properties and relations, involving the successor function [MacBride]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / e. Structuralism critique
For mathematical objects to be positions, positions themselves must exist first [MacBride]
25. Social Practice / D. Justice / 1. Basis of justice
If everyone is treated with equal injustice, at least that is fair [Morgenbesser]