45 ideas
12667 | Metaphysics aims at the simplest explanation, without regard to testability [Ellis] |
10170 | While true-in-a-model seems relative, true-in-all-models seems not to be [Reck/Price] |
10166 | ZFC set theory has only 'pure' sets, without 'urelements' [Reck/Price] |
12666 | We can base logic on acceptability, and abandon the Fregean account by truth-preservation [Ellis] |
10175 | Three types of variable in second-order logic, for objects, functions, and predicates/sets [Reck/Price] |
10165 | 'Analysis' is the theory of the real numbers [Reck/Price] |
12688 | Mathematics is the formal study of the categorical dimensions of things [Ellis] |
10174 | Mereological arithmetic needs infinite objects, and function definitions [Reck/Price] |
10164 | Peano Arithmetic can have three second-order axioms, plus '1' and 'successor' [Reck/Price] |
10172 | Set-theory gives a unified and an explicit basis for mathematics [Reck/Price] |
10167 | Structuralism emerged from abstract algebra, axioms, and set theory and its structures [Reck/Price] |
10169 | Relativist Structuralism just stipulates one successful model as its arithmetic [Reck/Price] |
10179 | There are 'particular' structures, and 'universal' structures (what the former have in common) [Reck/Price] |
10181 | Pattern Structuralism studies what isomorphic arithmetic models have in common [Reck/Price] |
10182 | There are Formalist, Relativist, Universalist and Pattern structuralism [Reck/Price] |
10168 | Formalist Structuralism says the ontology is vacuous, or formal, or inference relations [Reck/Price] |
10178 | Maybe we should talk of an infinity of 'possible' objects, to avoid arithmetic being vacuous [Reck/Price] |
10176 | Universalist Structuralism is based on generalised if-then claims, not one particular model [Reck/Price] |
10177 | Universalist Structuralism eliminates the base element, as a variable, which is then quantified out [Reck/Price] |
10171 | The existence of an infinite set is assumed by Relativist Structuralism [Reck/Price] |
12683 | Objects and substances are a subcategory of the natural kinds of processes [Ellis] |
12670 | A physical event is any change of distribution of energy [Ellis] |
12673 | Physical properties are those relevant to how a physical system might act [Ellis] |
12665 | I support categorical properties, although most people only want causal powers [Ellis] |
12682 | Essentialism needs categorical properties (spatiotemporal and numerical relations) and dispositions [Ellis] |
12684 | Spatial, temporal and numerical relations have causal roles, without being causal [Ellis] |
12672 | Properties and relations are discovered, so they can't be mere sets of individuals [Ellis] |
12676 | Causal powers can't rest on things which lack causal power [Ellis] |
23781 | Categoricals exist to influence powers. Such as structures, orientations and magnitudes [Ellis, by Williams,NE] |
12686 | Causal powers are a proper subset of the dispositional properties [Ellis] |
10173 | A nominalist might avoid abstract objects by just appealing to mereological sums [Reck/Price] |
12685 | Categorical properties depend only on the structures they represent [Ellis] |
12679 | A real essence is a kind's distinctive properties [Ellis] |
12668 | Metaphysical necessity holds between things in the world and things they make true [Ellis] |
12687 | Metaphysical necessities are those depending on the essential nature of things [Ellis] |
12669 | Science aims to explain things, not just describe them [Ellis] |
8090 | Since the language of thought is the same for all, it must be something like logical form [Fodor, by Devlin] |
11143 | If concept-learning is hypothesis-testing, that needs innate concepts to get started [Fodor, by Margolis/Laurence] |
12681 | There are natural kinds of processes [Ellis] |
12680 | Natural kind structures go right down to the bottom level [Ellis] |
12675 | Laws of nature are just descriptions of how things are disposed to behave [Ellis] |
12671 | I deny forces as entities that intervene in causation, but are not themselves causal [Ellis] |
12674 | Energy is the key multi-valued property, vital to scientific realism [Ellis] |
12689 | Simultaneity can be temporal equidistance from the Big Bang [Ellis] |
12690 | The present is the collapse of the light wavefront from the Big Bang [Ellis] |