34 ideas
10528 | Definitions concern how we should speak, not how things are [Fine,K] |
6334 | The function of the truth predicate? Understanding 'true'? Meaning of 'true'? The concept of truth? A theory of truth? [Horwich] |
6342 | Some correspondence theories concern facts; others are built up through reference and satisfaction [Horwich] |
6332 | The common-sense theory of correspondence has never been worked out satisfactorily [Horwich] |
10170 | While true-in-a-model seems relative, true-in-all-models seems not to be [Reck/Price] |
6335 | The redundancy theory cannot explain inferences from 'what x said is true' and 'x said p', to p [Horwich] |
23299 | Horwich's deflationary view is novel, because it relies on propositions rather than sentences [Horwich, by Davidson] |
6344 | Truth is a useful concept for unarticulated propositions and generalisations about them [Horwich] |
6337 | The deflationary picture says believing a theory true is a trivial step after believing the theory [Horwich] |
6336 | No deflationary conception of truth does justice to the fact that we aim for truth [Horwich] |
10166 | ZFC set theory has only 'pure' sets, without 'urelements' [Reck/Price] |
6339 | Logical form is the aspects of meaning that determine logical entailments [Horwich] |
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] |
10529 | If Hume's Principle can define numbers, we needn't worry about its truth [Fine,K] |
10530 | Hume's Principle is either adequate for number but fails to define properly, or vice versa [Fine,K] |
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] |
10173 | A nominalist might avoid abstract objects by just appealing to mereological sums [Reck/Price] |
10527 | An abstraction principle should not 'inflate', producing more abstractions than objects [Fine,K] |
6338 | We could know the truth-conditions of a foreign sentence without knowing its meaning [Horwich] |
6340 | There are Fregean de dicto propositions, and Russellian de re propositions, or a mixture [Horwich] |
6341 | Right translation is a mapping of languages which preserves basic patterns of usage [Horwich] |