29 ideas
5435 | An interpreter of a text, because of wider knowledge, can understand it better than its author [Schleiermacher, by Mautner] |
22028 | Unity emerges from understanding particulars, so understanding is prior to seeing unity [Schleiermacher] |
18928 | If maximalism is necessary, then that nothing exists has a truthmaker, which it can't have [Cameron] |
18931 | Determinate truths don't need extra truthmakers, just truthmakers that are themselves determinate [Cameron] |
18932 | The facts about the existence of truthmakers can't have a further explanation [Cameron] |
18923 | The present property 'having been F' says nothing about a thing's intrinsic nature [Cameron] |
18926 | One temporal distibution property grounds our present and past truths [Cameron] |
18929 | We don't want present truthmakers for the past, if they are about to cease to exist! [Cameron] |
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] |
18924 | Being polka-dotted is a 'spatial distribution' property [Cameron] |
10173 | A nominalist might avoid abstract objects by just appealing to mereological sums [Reck/Price] |
18930 | Change is instantiation of a non-uniform distributional property, like 'being red-then-orange' [Cameron] |
18927 | Surely if things extend over time, then time itself must be extended? [Cameron] |