39 ideas
21021 | Keep premises as weak as possible, to avoid controversial difficulties [Nussbaum] |
10476 | The idea that groups of concepts could be 'implicitly defined' was abandoned [Hodges,W] |
10282 | Logic is the study of sound argument, or of certain artificial languages (or applying the latter to the former) [Hodges,W] |
10478 | Since first-order languages are complete, |= and |- have the same meaning [Hodges,W] |
10477 | |= in model-theory means 'logical consequence' - it holds in all models [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] |
10474 | |= should be read as 'is a model for' or 'satisfies' [Hodges,W] |
10473 | Model theory studies formal or natural language-interpretation using set-theory [Hodges,W] |
10475 | A 'structure' is an interpretation specifying objects and classes of quantification [Hodges,W] |
10481 | Models in model theory are structures, not sets of descriptions [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] |
10480 | First-order logic can't discriminate between one infinite cardinal and another [Hodges,W] |
10286 | A 'set' is a mathematically well-behaved class [Hodges,W] |
20653 | Six reduction levels: groups, lives, cells, molecules, atoms, particles [Putnam/Oppenheim, by Watson] |
21007 | Storytelling is never neutral; some features of the world must be emphasised [Nussbaum] |
22688 | The Aristotelian idea that choices can be perceived needs literary texts to expound it [Nussbaum] |
21836 | Philosophers after Aristotle endorsed the medical analogy for eudaimonia [Nussbaum, by Flanagan] |
21025 | Particularism gives no guidance for the future [Nussbaum] |
21026 | Compassion is unreliable, because it favours people close to us [Nussbaum] |
21019 | Social contracts assume equal powers among the participants [Nussbaum] |
21011 | We shouldn't focus on actual preferences, which may be distorted by injustices [Nussbaum] |
21008 | Liberalism does not need a comprehensive account of value [Nussbaum] |
21125 | Liberals must respect family freedom - but families are the great oppressors of women [Nussbaum] |
21012 | Women are often treated like children, and not respected for their choices [Nussbaum] |
21015 | Negative liberty is incoherent; all liberties, to do and to be, require the prevention of interference [Nussbaum] |
21017 | Political freedom is an incoherent project, because some freedoms limit other freedoms [Nussbaum] |
21016 | Political and civil rights are not separate from economic and social rights [Nussbaum] |
21009 | Capabilities: Life, Health, Safety, Mental life, Love, Planning, Joining in, Nature, Play, Control [Nussbaum, by PG] |
21010 | Justice requires that the ten main capabilities of people are reasonably enabled [Nussbaum] |
21013 | Capabilities are grounded in bare humanity and agency; qualifying as rational is not needed [Nussbaum] |
21014 | Rights are not just barriers against state interference; governments must affirm capabilities of citizens [Nussbaum] |
21020 | Any establishment belief system is incompatible with full respect for all citizens [Nussbaum] |
21023 | We should respect animals in the way that we respect the animal nature in humans [Nussbaum] |
21024 | It may be no harm to kill an animal which cannot plan for its future [Nussbaum] |
21022 | The Capabilities Approach sees animals as agents, not just as having feelings [Nussbaum] |