14 ideas
10282 | Logic is the study of sound argument, or of certain artificial languages (or applying the latter to the former) [Hodges,W] |
10283 | A formula needs an 'interpretation' of its constants, and a 'valuation' of its variables [Hodges,W] |
10284 | There are three different standard presentations of semantics [Hodges,W] |
10285 | I |= φ means that the formula φ is true in the interpretation I [Hodges,W] |
10288 | Down Löwenheim-Skolem: if a countable language has a consistent theory, that has a countable model [Hodges,W] |
10289 | Up Löwenheim-Skolem: if infinite models, then arbitrarily large models [Hodges,W] |
10287 | If a first-order theory entails a sentence, there is a finite subset of the theory which entails it [Hodges,W] |
10286 | A 'set' is a mathematically well-behaved class [Hodges,W] |
16771 | A composite is a true unity if all of its parts fall under one essence [Scheibler] |
22262 | Kant's moral law has no foundation - because that would undermine its priority [Sandel] |
22264 | Modern liberal rights in democracies protect individuals against the majority [Sandel] |
22261 | Liberals say rights always come first, and justice is neutral on social values [Sandel] |
22263 | Liberal justice means the withdrawal of the self, as transcendental or as unencumbered [Sandel] |
22805 | Liberalism concerns rights, and communitarianism concerns the common good [Sandel, by Avineri/De-Shalit] |