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Ideas of William W. Tait, by Text

[American, fl. 1996, ]

1996 Frege versus Cantor and Dedekind
p.42 Why should abstraction from two equipollent sets lead to the same set of 'pure units'?
IV p.45 Dedekind has a conception of abstraction which is not psychologistic
IV p.45 Analytic philosophy focuses too much on forms of expression, instead of what is actually said
IX p.55 The null set was doubted, because numbering seemed to require 'units'
n 14 p.62 There is no reason why abstraction by equivalence classes should be called 'logical'
V p.46 If abstraction produces power sets, their identity should imply identity of the originals
V p.47 Abstraction is 'logical' if the sense and truth of the abstraction depend on the concrete
V p.47 Cantor and Dedekind use abstraction to fix grammar and objects, not to carry out proofs
VI p.49 Cantor took the ordinal numbers to be primary
VII p.51 We can have a series with identical members
VIII p.53 Abstraction may concern the individuation of the set itself, not its elements
2005 Intro to 'Provenance of Pure Reason'
p.4 p.222 Mathematics must be based on axioms, which are true because they are axioms, not vice versa