21 ideas
9978 | Analytic philosophy focuses too much on forms of expression, instead of what is actually said [Tait] |
9986 | The null set was doubted, because numbering seemed to require 'units' [Tait] |
10653 | Maybe set theory need not be well-founded [Varzi] |
9984 | We can have a series with identical members [Tait] |
10648 | Mereology need not be nominalist, though it is often taken to be so [Varzi] |
10655 | Are there mereological atoms, and are all objects made of them? [Varzi] |
10659 | There is something of which everything is part, but no null-thing which is part of everything [Varzi] |
13416 | Mathematics must be based on axioms, which are true because they are axioms, not vice versa [Tait, by Parsons,C] |
10661 | 'Composition is identity' says multitudes are the reality, loosely composing single things [Varzi] |
10654 | The parthood relation will help to define at least seven basic predicates [Varzi] |
10651 | If 'part' is reflexive, then identity is a limit case of parthood [Varzi] |
10649 | 'Part' stands for a reflexive, antisymmetric and transitive relation [Varzi] |
10647 | Parts may or may not be attached, demarcated, arbitrary, material, extended, spatial or temporal [Varzi] |
10658 | Sameness of parts won't guarantee identity if their arrangement matters [Varzi] |
10652 | Conceivability may indicate possibility, but literary fantasy does not [Varzi] |
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] |
21006 | If women share rights with men, they will exhibit similar virtues [Wollstonecraft] |