Combining Texts

All the ideas for 'Letters to a German Princess', 'Abduction and Induction' and 'Logicism, Some Considerations (PhD)'

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7 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]

14. Science / D. Explanation / 3. Best Explanation / a. Best explanation

14790

'Abduction' is beginning a hypothesis, particularly if it includes preference of one explanation over others [Peirce]

14791

Abduction involves original suggestions, and not just the testing involved in induction [Peirce]

26. Natural Theory / D. Laws of Nature / 1. Laws of Nature

5467	Euler said nature is instrinsically passive, and minds cause change [Euler, by Ellis]