Combining Texts

All the ideas for 'Aristotle and Descartes on Matter', 'works' and 'Logicism, Some Considerations (PhD)'

expand these ideas     |    start again     |     specify just one area for these texts

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
22363 You have only begun to do real science when you can express it in numbers [Kelvin]
26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / b. Prime matter
19399 Prime matter is nothing when it is at rest [Leibniz]
27. Natural Reality / A. Classical Physics / 2. Thermodynamics / a. Energy
20644 Energy has progressed from a mere formula, to a principle pervading all nature [Kelvin]