49 ideas
| 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] |
| 15682 | Even fairly simple animals make judgements based on categories [Gelman] |
| 15691 | Children accept real stable categories, with nonobvious potential that gives causal explanations [Gelman] |
| 12887 | A whole must have one characteristic, an internal relation, and a structure [Rescher/Oppenheim] |
| 15700 | In India, upper-castes essentialize caste more than lower-castes do [Gelman] |
| 15685 | Essentialism is either natural to us, or an accident of our culture, or a necessary result of language [Gelman] |
| 15684 | Children's concepts include nonobvious features, like internal parts, functions and causes [Gelman] |
| 15681 | Essentialism: real or representational? sortal, causal or ideal? real particulars, or placeholders? [Gelman] |
| 15678 | Essentialism says categories have a true hidden nature which gives an object its identity [Gelman] |
| 15683 | Sortals are needed for determining essence - the thing must be categorised first [Gelman] |
| 15697 | Kind (unlike individual) essentialism assumes preexisting natural categories [Gelman] |
| 15687 | Kinship is essence that comes in degrees, and age groups are essences that change over time [Gelman] |
| 15679 | Essentialism comes from the cognitive need to categorise [Gelman] |
| 15698 | We found no evidence that mothers teach essentialism to their children [Gelman] |
| 15709 | Essentialism is useful for predictions, but it is not the actual structure of reality [Gelman] |
| 15696 | Peope favor historical paths over outward properties when determining what something is [Gelman] |
| 15707 | There is intentional, mechanical, teleological, essentialist, vitalist and deontological understanding [Gelman] |
| 15703 | Memories often conform to a theory, rather than being neutral [Gelman] |
| 15708 | Inductive success is rewarded with more induction [Gelman] |
| 15694 | Children overestimate the power of a single example [Gelman] |
| 15695 | Children make errors in induction by focusing too much on categories [Gelman] |
| 15692 | People tend to be satisfied with shallow explanations [Gelman] |
| 15680 | Folk essentialism rests on belief in natural kinds, in hidden properties, and on words indicating structures [Gelman] |
| 15686 | Labels may indicate categories which embody an essence [Gelman] |
| 15690 | Causal properties are seen as more central to category concepts [Gelman] |
| 15688 | Categories are characterized by distance from a prototype [Gelman] |
| 15689 | Theory-based concepts use rich models to show which similarities really matter [Gelman] |
| 15699 | Prelinguistic infants acquire and use many categories [Gelman] |
| 15693 | One sample of gold is enough, but one tree doesn't give the height of trees [Gelman] |
| 15701 | Nouns seem to invoke stable kinds more than predicates do [Gelman] |
| 15705 | Essentialism encourages us to think about the world scientifically [Gelman] |
| 15702 | Essentialism doesn't mean we know the essences [Gelman] |
| 15704 | Essentialism starts from richly structured categories, leading to a search for underlying properties [Gelman] |
| 15706 | A major objection to real essences is the essentialising of social categories like race, caste and occupation [Gelman] |