Combining Texts

All the ideas for 'On the Principles of Indiscernibles', 'Logicism, Some Considerations (PhD)' and 'Socrates: Ironist and Moral Philosopher'

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6 ideas

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / a. Numbers
13412 Obtaining numbers by abstraction is impossible - there are too many; only a rule could give them, in order [Benacerraf]
13413 We must explain how we know so many numbers, and recognise ones we haven't met before [Benacerraf]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / c. Priority of numbers
13411 If numbers are basically the cardinals (Frege-Russell view) you could know some numbers in isolation [Benacerraf]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism
13415 An adequate account of a number must relate it to its series [Benacerraf]
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]
28. God / B. Proving God / 2. Proofs of Reason / a. Ontological Proof
2116 The concept of an existing thing must contain more than the concept of a non-existing thing [Leibniz]