20 ideas
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] |
10697 | Identity is clearly a logical concept, and greatly enhances predicate calculus [Boolos] |
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] |
1635 | Mathematics reduces to set theory (which is a bit vague and unobvious), but not to logic proper [Quine] |
10700 | First- and second-order quantifiers are two ways of referring to the same things [Boolos] |
7627 | You can't reduce epistemology to psychology, because that presupposes epistemology [Maund on Quine] |
8871 | We should abandon a search for justification or foundations, and focus on how knowledge is acquired [Quine, by Davidson] |
8826 | If we abandon justification and normativity in epistemology, we must also abandon knowledge [Kim on Quine] |
8827 | Without normativity, naturalized epistemology isn't even about beliefs [Kim on Quine] |
8899 | Epistemology is a part of psychology, studying how our theories relate to our evidence [Quine] |
8898 | Inculcations of meanings of words rests ultimately on sensory evidence [Quine] |
8900 | In observation sentences, we could substitute community acceptance for analyticity [Quine] |
22511 | Some reasonings are stronger than we are [Philolaus] |