23 ideas
22438 | Philosophy is largely concerned with finding the minimum that science could get by with [Quine] |
22436 | Logicians don't paraphrase logic into language, because they think in the symbolic language [Quine] |
22431 | Good algorithms and theories need many occurrences of just a few elements [Quine] |
22435 | The logician's '→' does not mean the English if-then [Quine] |
22433 | It is important that the quantification over temporal entities is timeless [Quine] |
7785 | The use of plurals doesn't commit us to sets; there do not exist individuals and collections [Boolos] |
10699 | Does a bowl of Cheerios contain all its sets and subsets? [Boolos] |
10225 | Monadic second-order logic might be understood in terms of plural quantifiers [Boolos, by Shapiro] |
10736 | Boolos showed how plural quantifiers can interpret monadic second-order logic [Boolos, by Linnebo] |
10780 | Any sentence of monadic second-order logic can be translated into plural first-order logic [Boolos, by Linnebo] |
22437 | Logical languages are rooted in ordinary language, and that connection must be kept [Quine] |
10697 | Identity is clearly a logical concept, and greatly enhances predicate calculus [Boolos] |
22434 | Reduction to logical forms first simplifies idioms and grammar, then finds a single reading of it [Quine] |
13671 | Second-order quantifiers are just like plural quantifiers in ordinary language, with no extra ontology [Boolos, by Shapiro] |
10267 | We should understand second-order existential quantifiers as plural quantifiers [Boolos, by Shapiro] |
10698 | Plural forms have no more ontological commitment than to first-order objects [Boolos] |
7806 | Boolos invented plural quantification [Boolos, by Benardete,JA] |
20752 | For man, being is not what he is, but what he is going to be [Ortega y Gassett] |
10700 | First- and second-order quantifiers are two ways of referring to the same things [Boolos] |
22432 | Normally conditionals have no truth value; it is the consequent which has a conditional truth value [Quine] |
22430 | If we understand a statement, we know the circumstances of its truth [Quine] |
20756 | Instead of having a nature, man only has a history [Ortega y Gassett] |
13713 | Quine holds time to be 'space-like': past objects are as real as spatially remote ones [Quine, by Sider] |