10 ideas
18073 | Dummett says classical logic rests on meaning as truth, while intuitionist logic rests on assertability [Dummett, by Kitcher] |
9565 | Zermelo made 'set' and 'member' undefined axioms [Zermelo, by Chihara] |
3339 | For Zermelo's set theory the empty set is zero and the successor of each number is its unit set [Zermelo, by Blackburn] |
10304 | Very few things in set theory remain valid in intuitionist mathematics [Bernays] |
19057 | Classical quantification is an infinite conjunction or disjunction - but you may not know all the instances [Dummett] |
10303 | Restricted Platonism is just an ideal projection of a domain of thought [Bernays] |
10306 | Mathematical abstraction just goes in a different direction from logic [Bernays] |
19055 | Stating a sentence's truth-conditions is just paraphrasing the sentence [Dummett] |
19056 | If a sentence is effectively undecidable, we can never know its truth conditions [Dummett] |
19054 | Meaning as use puts use beyond criticism, and needs a holistic view of language [Dummett] |