Combining Texts

All the ideas for 'Set Theory and related topics (2nd ed)', 'Counting and the Natural Numbers' and 'Socrates: Ironist and Moral Philosopher'

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

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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 / 3. Nature of Numbers / d. Natural numbers

17423

The essence of natural numbers must reflect all the functions they perform [Sicha]

6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / c. Counting procedure

17425

To know how many, you need a numerical quantifier, as well as equinumerosity [Sicha]

17424

Counting puts an initial segment of a serial ordering 1-1 with some other entities [Sicha]

25. Social Practice / D. Justice / 3. Punishment / b. Retribution for crime

1658	In early Greece the word for punishment was also the word for vengeance [Vlastos]