Combining Texts

All the ideas for 'Deriving Kripkean Claims with Abstract Objects', 'The Nature of Universals and Propositions' and 'Cantorian Abstraction: Recon. and Defence'

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8 ideas

5. Theory of Logic / E. Structures of Logic / 4. Variables in Logic
I think of variables as objects rather than as signs [Fine,K]
8. Modes of Existence / B. Properties / 13. Tropes / a. Nature of tropes
Stout first explicitly proposed that properties and relations are particulars [Stout,GF, by Campbell,K]
9. Objects / A. Existence of Objects / 2. Abstract Objects / a. Nature of abstracta
Abstract objects are actually constituted by the properties by which we conceive them [Zalta]
15. Nature of Minds / C. Capacities of Minds / 5. Generalisation by mind
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
Abstract objects are captured by second-order modal logic, plus 'encoding' formulas [Zalta]
To obtain the number 2 by abstraction, we only want to abstract the distinctness of a pair of objects [Fine,K]
We should define abstraction in general, with number abstraction taken as a special case [Fine,K]
18. Thought / E. Abstraction / 8. Abstractionism Critique
After abstraction all numbers seem identical, so only 0 and 1 will exist! [Fine,K]