32 ideas
14001 | People who use science to make philosophical points don't realise how philosophical science is [Markosian] |
13991 | Presentism has the problem that if Socrates ceases to exist, so do propositions about him [Markosian] |
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] |
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] |
14002 | Possible worlds must be abstract, because two qualitatively identical worlds are just one world [Markosian] |
19261 | Understanding is seeing coherent relationships in the relevant information [Kvanvig] |
14000 | 'Grabby' truth conditions first select their object, unlike 'searchy' truth conditions [Markosian] |
13990 | Presentism is the view that only present objects exist [Markosian] |
13992 | Presentism says if objects don't exist now, we can't have attitudes to them or relations with them [Markosian] |
13994 | Presentism seems to entail that we cannot talk about other times [Markosian] |
13995 | Serious Presentism says things must exist to have relations and properties; Unrestricted version denies this [Markosian] |
13996 | Maybe Presentists can refer to the haecceity of a thing, after the thing itself disappears [Markosian] |
13997 | Maybe Presentists can paraphrase singular propositions about the past [Markosian] |
13993 | Special Relativity denies the absolute present which Presentism needs [Markosian] |
13998 | Objects in the past, like Socrates, are more like imaginary objects than like remote spatial objects [Markosian] |
13999 | People are mistaken when they think 'Socrates was a philosopher' says something [Markosian] |