Combining Texts

All the ideas for 'Logicism, Some Considerations (PhD)', 'works' and 'The Logical Structure of the World (Aufbau)'

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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 / B. Scientific Theories / 1. Scientific Theory
18699 Carnap tried to define all scientific predicates in terms of primitive relations, using type theory [Carnap, by Button]
18. Thought / D. Concepts / 4. Structure of Concepts / g. Conceptual atomism
12131 All concepts can be derived from a few basics, making possible one science of everything [Carnap, by Brody]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / e. Human nature
4366 We can't accept Aristotle's naturalism about persons, because it is normative and unscientific [Williams,B, by Hursthouse]