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Ideas of William W. Tait, by Text

[American, fl. 1996, ]

1996	Frege versus Cantor and Dedekind

p.42

9972

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

IV

p.45

9978

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

IX

p.55

9986

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

V

p.46

9980

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

V

p.47

9981

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

V

p.47

9982

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

VII

p.51

9984

We can have a series with identical members

VIII

p.53

9985

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

2005	Intro to 'Provenance of Pure Reason'

p.4

p.222

13416

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