51 ideas
10888 | Sets can be defined by 'enumeration', or by 'abstraction' (based on a property) [Zalabardo] |
10889 | The 'Cartesian Product' of two sets relates them by pairing every element with every element [Zalabardo] |
10890 | A 'partial ordering' is reflexive, antisymmetric and transitive [Zalabardo] |
10886 | Determinacy: an object is either in a set, or it isn't [Zalabardo] |
10887 | Specification: Determinate totals of objects always make a set [Zalabardo] |
10897 | A first-order 'sentence' is a formula with no free variables [Zalabardo] |
10899 | Γ |= φ if φ is true when all of Γ is true, for all structures and interpretations [Zalabardo] |
10893 | Γ |= φ for sentences if φ is true when all of Γ is true [Zalabardo] |
10896 | Propositional logic just needs ¬, and one of ∧, ∨ and → [Zalabardo] |
10898 | The semantics shows how truth values depend on instantiations of properties and relations [Zalabardo] |
10902 | We can do semantics by looking at given propositions, or by building new ones [Zalabardo] |
10892 | We make a truth assignment to T and F, which may be true and false, but merely differ from one another [Zalabardo] |
10900 | Logically true sentences are true in all structures [Zalabardo] |
10895 | 'Logically true' (|= φ) is true for every truth-assignment [Zalabardo] |
10901 | Some formulas are 'satisfiable' if there is a structure and interpretation that makes them true [Zalabardo] |
10894 | A sentence-set is 'satisfiable' if at least one truth-assignment makes them all true [Zalabardo] |
10903 | A structure models a sentence if it is true in the model, and a set of sentences if they are all true in the model [Zalabardo] |
10891 | If a set is defined by induction, then proof by induction can be applied to it [Zalabardo] |
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] |
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] |
15695 | Children make errors in induction by focusing too much on categories [Gelman] |
15694 | Children overestimate the power of a single example [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] |
15702 | Essentialism doesn't mean we know the essences [Gelman] |
15705 | Essentialism encourages us to think about the world scientifically [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] |
5994 | Is the cosmos open or closed, mechanical or teleological, alive or inanimate, and created or eternal? [Robinson,TM, by PG] |