17 ideas
8755 | Maddy replaces pure sets with just objects and perceived sets of objects [Maddy, by Shapiro] |
12215 | The existence of numbers is not a matter of identities, but of constituents of the world [Fine,K] |
10718 | A natural number is a property of sets [Maddy, by Oliver] |
12211 | It is plausible that x^2 = -1 had no solutions before complex numbers were 'introduced' [Fine,K] |
8756 | Intuition doesn't support much mathematics, and we should question its reliability [Maddy, by Shapiro] |
12209 | The indispensability argument shows that nature is non-numerical, not the denial of numbers [Fine,K] |
17733 | We know mind-independent mathematical truths through sets, which rest on experience [Maddy, by Jenkins] |
12214 | 'Exists' is a predicate, not a quantifier; 'electrons exist' is like 'electrons spin' [Fine,K] |
12212 | Just as we introduced complex numbers, so we introduced sums and temporal parts [Fine,K] |
12216 | Real objects are those which figure in the facts that constitute reality [Fine,K] |
12218 | Being real and being fundamental are separate; Thales's water might be real and divisible [Fine,K] |
12217 | For ontology we need, not internal or external views, but a view from outside reality [Fine,K] |
12213 | Ontological claims are often universal, and not a matter of existential quantification [Fine,K] |
10496 | Monothetic categories have fixed defining features, and polythetic categories do not [Ellen] |
10497 | In symbolic classification, the categories are linked to rules [Ellen] |
10495 | Continuous experience sometimes needs imposition of boundaries to create categories [Ellen] |
10498 | Classification is no longer held to be rooted in social institutions [Ellen] |