Combining Texts

All the ideas for 'Logicism, Some Considerations (PhD)', 'Mathematical Logic (revised)' and 'On 'The Beginning of Philosophy''

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7 ideas

1. Philosophy / D. Nature of Philosophy / 3. Philosophy Defined

19456

Philosophy is distinguished from other sciences by its complete lack of presuppositions [Feuerbach]

5. Theory of Logic / E. Structures of Logic / 4. Variables in Logic

12221

'Corner quotes' (quasi-quotation) designate 'whatever these terms designate' [Quine]

5. Theory of Logic / F. Referring in Logic / 1. Naming / f. Names eliminated

19321

We might do without names, by converting them into predicates [Quine, by Kirkham]

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]