Combining Texts

All the ideas for 'In Praed.', 'Cantorian Abstraction: Recon. and Defence' and 'The Foundations of Mathematics'

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

7 ideas

5. Theory of Logic / D. Assumptions for Logic / 2. Excluded Middle
18844 You would cripple mathematics if you denied Excluded Middle [Hilbert]
5. Theory of Logic / E. Structures of Logic / 4. Variables in Logic
9148 I think of variables as objects rather than as signs [Fine,K]
9. Objects / B. Unity of Objects / 2. Substance / a. Substance
16776 Substance is an intrinsic thing, so parts of substances can't also be intrinsic things [Duns Scotus]
15. Nature of Minds / C. Capacities of Minds / 5. Generalisation by mind
9152 If green is abstracted from a thing, it is only seen as a type if it is common to many things [Fine,K]
18. Thought / E. Abstraction / 2. Abstracta by Selection
9149 To obtain the number 2 by abstraction, we only want to abstract the distinctness of a pair of objects [Fine,K]
9150 We should define abstraction in general, with number abstraction taken as a special case [Fine,K]
18. Thought / E. Abstraction / 8. Abstractionism Critique
9146 After abstraction all numbers seem identical, so only 0 and 1 will exist! [Fine,K]