Combining Texts

All the ideas for 'Intuitionism: an Introduction', 'Logicism, Some Considerations (PhD)' and 'works'

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6 ideas

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / a. Numbers
Obtaining numbers by abstraction is impossible - there are too many; only a rule could give them, in order [Benacerraf]
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
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
An adequate account of a number must relate it to its series [Benacerraf]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
Logic is dependent on mathematics, not the other way round [Heyting, by Shapiro]
29. Religion / A. Polytheistic Religion / 2. Greek Polytheism
Bruno said that ancient Egyptian magic was the true religion [Bruno, by Yates]