Combining Texts

All the ideas for 'Logicism, Some Considerations (PhD)', 'The New Organon' and 'talk'

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8 ideas

6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / a. Numbers
Obtaining numbers by abstraction is impossible - there are too many; only a rule could give them, in order [Benacerraf]
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
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
An adequate account of a number must relate it to its series [Benacerraf]
8. Modes of Existence / E. Nominalism / 1. Nominalism / a. Nominalism
Only individual bodies exist [Bacon]
9. Objects / C. Structure of Objects / 2. Hylomorphism / c. Form as causal
There are only individual bodies containing law-based powers, and the Forms are these laws [Bacon]
14. Science / B. Scientific Theories / 2. Aim of Science
Science must clear away the idols of the mind if they are ever going to find the truth [Bacon]
15. Nature of Minds / C. Capacities of Minds / 2. Imagination
Understanding is needed for imagination, just as much as the other way around [Betteridge]