Combining Philosophers

Ideas for B Hale / C Wright, Timothy Smiley and William W. Tait

expand these ideas     |    start again     |     choose another area for these philosophers

display all the ideas for this combination of philosophers

---

9 ideas

18. Thought / E. Abstraction / 2. Abstracta by Selection

9981	Abstraction is 'logical' if the sense and truth of the abstraction depend on the concrete [Tait]

9982	Cantor and Dedekind use abstraction to fix grammar and objects, not to carry out proofs [Tait]

18. Thought / E. Abstraction / 7. Abstracta by Equivalence

10630

Abstracted objects are not mental creations, but depend on equivalence between given entities [Hale/Wright]

8786	One first-order abstraction principle is Frege's definition of 'direction' in terms of parallel lines [Hale/Wright]

12227

Abstractionism needs existential commitment and uniform truth-conditions [Hale/Wright]

12228

Equivalence abstraction refers to objects otherwise beyond our grasp [Hale/Wright]

9985	Abstraction may concern the individuation of the set itself, not its elements [Tait]

18. Thought / E. Abstraction / 8. Abstractionism Critique

9972	Why should abstraction from two equipollent sets lead to the same set of 'pure units'? [Tait]

9980	If abstraction produces power sets, their identity should imply identity of the originals [Tait]