11 ideas
18261 | A simplification which is complete constitutes a definition [Kant] |
8083 | Boole applied normal algebra to logic, aiming at an algebra of thought [Boole, by Devlin] |
7727 | Boole's notation can represent syllogisms and propositional arguments, but not both at once [Boole, by Weiner] |
8686 | Boole made logic more mathematical, with algebra, quantifiers and probability [Boole, by Friend] |
22275 | Logic gives us the necessary rules which show us how we ought to think [Kant] |
22277 | Boole's method was axiomatic, achieving economy, plus multiple interpretations [Boole, by Potter] |
10580 | Mathematics is both necessary and a priori because it really consists of logical truths [Yablo] |
10579 | Putting numbers in quantifiable position (rather than many quantifiers) makes expression easier [Yablo] |
10577 | Concrete objects have few essential properties, but properties of abstractions are mostly essential [Yablo] |
10578 | We are thought to know concreta a posteriori, and many abstracta a priori [Yablo] |
18260 | If we knew what we know, we would be astonished [Kant] |