33 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] |
| 21495 | Theoretical and practical politics are both concerned with the best lives for individuals [Russell] |
| 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] |
| 15201 | That Queen Anne is dead is a 'general fact', not a fact about Queen Anne [Prior,AN] |
| 10173 | A nominalist might avoid abstract objects by just appealing to mereological sums [Reck/Price] |
| 21517 | Individuals need creativity, reverence for others, and self-respect [Russell] |
| 21523 | We would not want UK affairs to be settled by a world parliament [Russell] |
| 21522 | Democracy is inadequate without a great deal of devolution [Russell] |
| 21521 | Anarchy does not maximise liberty [Russell] |
| 21528 | Groups should be autonomous, with a neutral authority as arbitrator [Russell] |
| 21527 | On every new question the majority is always wrong at first [Russell] |
| 21526 | Unfortunately ordinary voters can't detect insincerity [Russell] |
| 21525 | When the state is the only employer, there is no refuge from the prejudices of other people [Russell] |
| 21518 | Men unite in pursuit of material things, and idealise greed as part of group loyalty [Russell] |
| 21519 | We need security and liberty, and then encouragement of creativity [Russell] |
| 21524 | The right to own land gives a legal right to a permanent income [Russell] |
| 22899 | 'Thank goodness that's over' is not like 'thank goodness that happened on Friday' [Prior,AN] |
| 21520 | That our heaven is a dull place reflects the misery of excessive work in life [Russell] |