34 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] |
| 10173 | A nominalist might avoid abstract objects by just appealing to mereological sums [Reck/Price] |
| 22858 | There is collective action, where a trend is manifest, but is not attributable to individuals [Lukes] |
| 6040 | There is no universal goal to human life [Aenesidemus, by Photius] |
| 22854 | Power is a capacity, which may never need to be exercised [Lukes] |
| 22850 | Hidden powers are the most effective [Lukes] |
| 22852 | The pluralist view says that power is restrained by group rivalry [Lukes] |
| 22855 | One-dimensionsal power is behaviour in observable conflicts of interests [Lukes] |
| 22856 | Political organisation brings some conflicts to the fore, and suppresses others [Lukes] |
| 22857 | The two-dimensional view of power recognises the importance of controlling the agenda [Lukes] |
| 22859 | Power can be exercised to determine a person's desires [Lukes] |
| 22863 | Power is the capacity of a social class to realise its interests [Lukes] |
| 22860 | The evidence for the exertion of power need not involve a grievance of the powerless [Lukes] |
| 22861 | Power is affecting a person in a way contrary to their interests [Lukes] |
| 21133 | Supreme power is getting people to have thoughts and desires chosen by you [Lukes] |
| 22851 | In the 1950s they said ideology is finished, and expertise takes over [Lukes] |
| 22862 | Liberals take people as they are, and take their preferences to be their interests [Lukes] |
| 22853 | Anyone who thinks capitalism can improve their lives is endorsing capitalism [Lukes] |