Combining Texts

All the ideas for 'Dialektik', 'Barcan Formulae' and 'Logicism, Some Considerations (PhD)'

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6 ideas

4. Formal Logic / D. Modal Logic ML / 7. Barcan Formula
15380 Barcan:nothing comes into existence; Converse:nothing goes out; Both:domain is unchanging [Vervloesem]
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]
19. Language / E. Analyticity / 4. Analytic/Synthetic Critique
20959 Concepts are only analytic once the predicate is absorbed into the subject [Schleiermacher]