Ideas of William W. Tait, by Theme
[American, fl. 1996, ]
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1. Philosophy / F. Analytic Philosophy / 5. Against Analysis
9978

Analytic philosophy focuses too much on forms of expression, instead of what is actually said

4. Formal Logic / F. Set Theory ST / 3. Types of Set / b. Empty (Null) Set
9986

The null set was doubted, because numbering seemed to require 'units'

4. Formal Logic / F. Set Theory ST / 7. Natural Sets
9984

We can have a series with identical members

5. Theory of Logic / K. Features of Logics / 1. Axiomatisation
13416

Mathematics must be based on axioms, which are true because they are axioms, not vice versa [Parsons,C]

18. Thought / E. Abstraction / 2. Abstracta by Selection
9982

Cantor and Dedekind use abstraction to fix grammar and objects, not to carry out proofs

9981

Abstraction is 'logical' if the sense and truth of the abstraction depend on the concrete

18. Thought / E. Abstraction / 7. Abstracta by Equivalence
9985

Abstraction may concern the individuation of the set itself, not its elements

18. Thought / E. Abstraction / 8. Abstractionism Critique
9972

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

9980

If abstraction produces power sets, their identity should imply identity of the originals
