47 ideas
6891 | Quine's naturalistic and empirical view is based entirely on first-order logic and set theory [Quine, by Mautner] |
6310 | Enquiry needs a conceptual scheme, so we should retain the best available [Quine] |
7786 | Propositional logic handles negation, disjunction, conjunction; predicate logic adds quantifiers, predicates, relations [Girle] |
7798 | There are three axiom schemas for propositional logic [Girle] |
7799 | Proposition logic has definitions for its three operators: or, and, and identical [Girle] |
7797 | Axiom systems of logic contain axioms, inference rules, and definitions of proof and theorems [Girle] |
7794 | There are seven modalities in S4, each with its negation [Girle] |
7793 | ◊p → □◊p is the hallmark of S5 [Girle] |
7795 | S5 has just six modalities, and all strings can be reduced to those [Girle] |
7787 | Possible worlds logics use true-in-a-world rather than true [Girle] |
7788 | Modal logic has four basic modal negation equivalences [Girle] |
7796 | Modal logics were studied in terms of axioms, but now possible worlds semantics is added [Girle] |
7789 | Necessary implication is called 'strict implication'; if successful, it is called 'entailment' [Girle] |
12798 | Plurals can in principle be paraphrased away altogether [Quine] |
7790 | If an argument is invalid, a truth tree will indicate a counter-example [Girle] |
17905 | Any progression will do nicely for numbers; they can all then be used to measure multiplicity [Quine] |
9556 | Nearly all of mathematics has to quantify over abstract objects [Quine] |
16462 | The quest for ultimate categories is the quest for a simple clear pattern of notation [Quine] |
15723 | Either dispositions rest on structures, or we keep saying 'all things being equal' [Quine] |
15490 | Explain unmanifested dispositions as structural similarities to objects which have manifested them [Quine, by Martin,CB] |
17945 | Forms are not a theory of universals, but an attempt to explain how predication is possible [Nehamas] |
17946 | Only Tallness really is tall, and other inferior tall things merely participate in the tallness [Nehamas] |
8504 | Quine aims to deal with properties by the use of eternal open sentences, or classes [Quine, by Devitt] |
8464 | Physical objects in space-time are just events or processes, no matter how disconnected [Quine] |
7924 | The notion of a physical object is by far the most useful one for science [Quine] |
8482 | Mathematicians must be rational but not two-legged, cyclists the opposite. So a mathematical cyclist? [Quine] |
12136 | Cyclist are not actually essentially two-legged [Brody on Quine] |
17594 | We can paraphrase 'x=y' as a sequence of the form 'if Fx then Fy' [Quine] |
7800 | Analytic truths are divided into logically and conceptually necessary [Girle] |
7801 | Possibilities can be logical, theoretical, physical, economic or human [Girle] |
15725 | Normal conditionals have a truth-value gap when the antecedent is false. [Quine] |
15722 | Conditionals are pointless if the truth value of the antecedent is known [Quine] |
15719 | We feign belief in counterfactual antecedents, and assess how convincing the consequent is [Quine] |
15721 | Counterfactuals are plausible when dispositions are involved, as they imply structures [Quine] |
15720 | What stays the same in assessing a counterfactual antecedent depends on context [Quine] |
15724 | Counterfactuals have no place in a strict account of science [Quine] |
7792 | A world has 'access' to a world it generates, which is important in possible worlds semantics [Girle] |
17944 | 'Episteme' is better translated as 'understanding' than as 'knowledge' [Nehamas] |
4630 | Two theories can be internally consistent and match all the facts, yet be inconsistent with one another [Quine, by Baggini /Fosl] |
3131 | Quine expresses the instrumental version of eliminativism [Quine, by Rey] |
3988 | Indeterminacy of translation also implies indeterminacy in interpreting people's mental states [Dennett on Quine] |
6311 | The firmer the links between sentences and stimuli, the less translations can diverge [Quine] |
6312 | We can never precisely pin down how to translate the native word 'Gavagai' [Quine] |
6313 | Stimulus synonymy of 'Gavagai' and 'Rabbit' does not even guarantee they are coextensive [Quine] |
6317 | Dispositions to speech behaviour, and actual speech, are never enough to fix any one translation [Quine] |
6315 | We should be suspicious of a translation which implies that a people have very strange beliefs [Quine] |
6314 | Weird translations are always possible, but they improve if we impose our own logic on them [Quine] |