Combining Texts

All the ideas for 'Mathematical Logic (revised)', 'Cantorian Abstraction: Recon. and Defence' and 'The Languages of Art'

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8 ideas

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]
12221 'Corner quotes' (quasi-quotation) designate 'whatever these terms designate' [Quine]
5. Theory of Logic / F. Referring in Logic / 1. Naming / f. Names eliminated
19321 We might do without names, by converting them into predicates [Quine, by Kirkham]
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]
21. Aesthetics / B. Nature of Art / 5. Art as Language
8113 Art is like understanding a natural language, and needs a grasp of a symbol system [Goodman, by Gardner]