25 ideas
12104 | All ideas must be understood historically [Comte] |
12105 | Our knowledge starts in theology, passes through metaphysics, and ends in positivism [Comte] |
12112 | Metaphysics is just the oversubtle qualification of abstract names for phenomena [Comte] |
12106 | Positivism gives up absolute truth, and seeks phenomenal laws, by reason and observation [Comte] |
12111 | Positivism is the final state of human intelligence [Comte] |
12114 | Science can drown in detail, so we need broad scientists (to keep out the metaphysicians) [Comte] |
12116 | Only positivist philosophy can terminate modern social crises [Comte] |
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] |
12108 | All real knowledge rests on observed facts [Comte] |
12109 | We must observe in order to form theories, but connected observations need prior theories [Comte] |
12107 | Positivism explains facts by connecting particular phenomena with general facts [Comte] |
12115 | Introspection is pure illusion; we can obviously observe everything except ourselves [Comte] |
12113 | The search for first or final causes is futile [Comte] |
12110 | We can never know origins, purposes or inner natures [Comte] |
3804 | Darwin's idea was the best idea ever [Dennett] |