20 ideas
18369 | There are at least fourteen candidates for truth-bearers [Kirkham] |
19318 | A 'sequence' of objects is an order set of them [Kirkham] |
19319 | If one sequence satisfies a sentence, they all do [Kirkham] |
19320 | If we define truth by listing the satisfactions, the supply of predicates must be finite [Kirkham] |
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] |
19315 | In quantified language the components of complex sentences may not be sentences [Kirkham] |
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] |
19317 | An open sentence is satisfied if the object possess that property [Kirkham] |
19322 | Why can there not be disjunctive, conditional and negative facts? [Kirkham] |
10700 | First- and second-order quantifiers are two ways of referring to the same things [Boolos] |
9212 | Possible states of affairs are not propositions; a proposition can't be a state of affairs! [Fine,K] |
9213 | The actual world is a possible world, so we can't define possible worlds as 'what might have been' [Fine,K] |