43 ideas
10308 | Questions about objects are questions about certain non-vacuous singular terms [Hale] |
10314 | An expression is a genuine singular term if it resists elimination by paraphrase [Hale] |
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] |
10893 | Γ |= φ for sentences if φ is true when all of Γ is true [Zalabardo] |
10899 | Γ |= φ if φ is true when all of Γ is true, for all structures and interpretations [Zalabardo] |
10896 | Propositional logic just needs ¬, and one of ∧, ∨ and → [Zalabardo] |
10316 | We should decide whether singular terms are genuine by their usage [Hale] |
10312 | Often the same singular term does not ensure reliable inference [Hale] |
10313 | Plenty of clear examples have singular terms with no ontological commitment [Hale] |
10322 | If singular terms can't be language-neutral, then we face a relativity about their objects [Hale] |
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] |
10895 | 'Logically true' (|= φ) is true for every truth-assignment [Zalabardo] |
10900 | Logically true sentences are true in all structures [Zalabardo] |
10894 | A sentence-set is 'satisfiable' if at least one truth-assignment makes them all true [Zalabardo] |
10901 | Some formulas are 'satisfiable' if there is a structure and interpretation that makes them 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] |
10512 | The abstract/concrete distinction is based on what is perceivable, causal and located [Hale] |
10517 | Colours and points seem to be both concrete and abstract [Hale] |
10519 | The abstract/concrete distinction is in the relations in the identity-criteria of object-names [Hale] |
10520 | Token-letters and token-words are concrete objects, type-letters and type-words abstract [Hale] |
10524 | There is a hierarchy of abstraction, based on steps taken by equivalence relations [Hale] |
10521 | If F can't have location, there is no problem of things having F in different locations [Hale] |
10511 | It is doubtful if one entity, a universal, can be picked out by both predicates and abstract nouns [Hale] |
10318 | Realists take universals to be the referrents of both adjectives and of nouns [Hale] |
10310 | Objections to Frege: abstracta are unknowable, non-independent, unstatable, unindividuated [Hale] |
10518 | Shapes and directions are of something, but games and musical compositions are not [Hale] |
10513 | Many abstract objects, such as chess, seem non-spatial, but are not atemporal [Hale] |
10514 | If the mental is non-spatial but temporal, then it must be classified as abstract [Hale] |
10523 | Being abstract is based on a relation between things which are spatially separated [Hale] |
10307 | The modern Fregean use of the term 'object' is much broader than the ordinary usage [Hale] |
10315 | We can't believe in a 'whereabouts' because we ask 'what kind of object is it?' [Hale] |
10522 | The relations featured in criteria of identity are always equivalence relations [Hale] |
10321 | We sometimes apply identity without having a real criterion [Hale] |
1748 | Archelaus was the first person to say that the universe is boundless [Archelaus, by Diog. Laertius] |
5989 | Archelaus said life began in a primeval slime [Archelaus, by Schofield] |