8 ideas
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] |
3340 | Von Neumann defines each number as the set of all smaller numbers [Neumann, by Blackburn] |
3355 | Von Neumann wanted mathematical functions to replace sets [Neumann, by Benardete,JA] |
8686 | Boole made logic more mathematical, with algebra, quantifiers and probability [Boole, by Friend] |
22277 | Boole's method was axiomatic, achieving economy, plus multiple interpretations [Boole, by Potter] |
22716 | Von Neumann defined ordinals as the set of all smaller ordinals [Neumann, by Poundstone] |
1556 | By nature people are close to one another, but culture drives them apart [Hippias] |