32 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] |
10700 | First- and second-order quantifiers are two ways of referring to the same things [Boolos] |
12056 | An ancestral relation is either direct or transitively indirect [Wiggins] |
12050 | Substances contain a source of change or principle of activity [Wiggins] |
12052 | We never single out just 'this', but always 'this something-or-other' [Wiggins] |
12055 | Sortal predications are answers to the question 'what is x?' [Wiggins] |
12059 | A river may change constantly, but not in respect of being a river [Wiggins] |
12063 | Sortal classification becomes science, with cross reference clarifying individuals [Wiggins] |
12051 | If the kinds are divided realistically, they fall into substances [Wiggins] |
12053 | 'Human being' is a better answer to 'what is it?' than 'poet', as the latter comes in degrees [Wiggins] |
12054 | Secondary substances correctly divide primary substances by activity-principles and relations [Wiggins] |
12047 | We refer to persisting substances, in perception and in thought, and they aid understanding [Wiggins] |
12057 | Matter underlies things, composes things, and brings them to be [Wiggins] |
19419 | Not all of perception is accompanied by consciousness [Leibniz] |
12064 | The category of substance is more important for epistemology than for ontology [Wiggins] |
12049 | Naming the secondary substance provides a mass of general information [Wiggins] |
12065 | Seeing a group of soldiers as an army is irresistible, in ontology and explanation [Wiggins] |
19421 | Souls act as if there were no bodies, and bodies act as if there were no souls [Leibniz] |
19420 | Death and generation are just transformations of an animal, augmented or diminished [Leibniz] |
19416 | Not all of matter is animated, any more than a pond full of living fish is animated [Leibniz] |
19422 | Every particle of matter contains organic bodies [Leibniz] |
19418 | Mechanics shows that all motion originates in other motion, so there is a Prime Mover [Leibniz] |
19417 | All substances are in harmony, even though separate, so they must have one divine cause [Leibniz] |