14 ideas
9978 | Analytic philosophy focuses too much on forms of expression, instead of what is actually said [Tait] |
19086 | Does the pragmatic theory of meaning support objective truth, or make it impossible? [Macbeth] |
9986 | The null set was doubted, because numbering seemed to require 'units' [Tait] |
9984 | We can have a series with identical members [Tait] |
13416 | Mathematics must be based on axioms, which are true because they are axioms, not vice versa [Tait, by Parsons,C] |
19093 | Greek mathematics is wholly sensory, where ours is wholly inferential [Macbeth] |
19091 | Seeing reality mathematically makes it an object of thought, not of experience [Macbeth] |
19088 | For pragmatists a concept means its consequences [Macbeth] |
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] |
9985 | Abstraction may concern the individuation of the set itself, not its elements [Tait] |
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] |
14014 | Space alone, and time alone, will fade away, and only their union has an independent reality [Minkowski] |