40 ideas
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] |
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] |
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] |
6472 | Continuity is a sufficient criterion for the identity of a rock, but not for part of a smooth fluid [Russell] |
10173 | A nominalist might avoid abstract objects by just appealing to mereological sums [Reck/Price] |
6473 | Physical things are series of appearances whose matter obeys physical laws [Russell] |
6465 | We need not deny substance, but there seems no reason to assert it [Russell] |
6471 | The assumption by physicists of permanent substance is not metaphysically legitimate [Russell] |
6466 | Where possible, logical constructions are to be substituted for inferred entities [Russell] |
6483 | Russell held that we are aware of states of our own brain [Russell, by Robinson,H] |
8244 | Sense-data are qualities devoid of subjectivity, which are the basis of science [Russell, by Deleuze/Guattari] |
6462 | Sense-data are not mental, but are part of the subject-matter of physics [Russell] |
6463 | Sense-data are objects, and do not contain the subject as part, the way beliefs do [Russell] |
6464 | Sense-data are usually objects within the body, but are not part of the subject [Russell] |
6467 | No sensibile is ever a datum to two people at once [Russell] |
6459 | We do not know whether sense-data exist as objects when they are not data [Russell] |
6460 | 'Sensibilia' are identical to sense-data, without actually being data for any mind [Russell] |
6461 | Ungiven sense-data can no more exist than unmarried husbands [Russell] |
6458 | Individuating sense-data is difficult, because they divide when closely attended to [Russell] |
6469 | Sense-data may be subjective, if closing our eyes can change them [Russell] |
20033 | Intentions are normative, requiring commitment and further plans [Bratman, by Wilson/Schpall] |
20034 | Intentions must be mutually consistent, affirm appropriate means, and fit the agent's beliefs [Bratman, by Wilson/Schpall] |
20026 | Intention is either the aim of an action, or a long-term constraint on what we can do [Bratman, by Wilson/Schpall] |
20032 | Bratman rejected reducing intentions to belief-desire, because they motivate, and have their own standards [Bratman, by Wilson/Schpall] |
6470 | Matter is the limit of appearances as distance from the object diminishes [Russell] |
6468 | There is 'private space', and there is also the 'space of perspectives' [Russell] |