18 ideas
3340 | Von Neumann defines each number as the set of all smaller numbers [Neumann, by Blackburn] |
15943 | Limitation of Size is not self-evident, and seems too strong [Lavine on Neumann] |
3355 | Von Neumann wanted mathematical functions to replace sets [Neumann, by Benardete,JA] |
13489 | Von Neumann treated cardinals as a special sort of ordinal [Neumann, by Hart,WD] |
22716 | Von Neumann defined ordinals as the set of all smaller ordinals [Neumann, by Poundstone] |
12336 | A von Neumann ordinal is a transitive set with transitive elements [Neumann, by Badiou] |
18179 | For Von Neumann the successor of n is n U {n} (rather than {n}) [Neumann, by Maddy] |
18180 | Von Neumann numbers are preferred, because they continue into the transfinite [Maddy on Neumann] |
15925 | Each Von Neumann ordinal number is the set of its predecessors [Neumann, by Lavine] |
13672 | All the axioms for mathematics presuppose set theory [Neumann] |
3016 | Even the gods cannot strive against necessity [Pittacus, by Diog. Laertius] |
24162 | Planck introduced the idea that energy can be quantized [Baggott] |
21731 | Fields can be 'scalar', or 'vector', or 'tensor', or 'spinor' [Baggott] |
21730 | A 'field' is a property with a magnitude, distributed across all of space and time [Baggott] |
24163 | Free electrons have clouds of virtual particles, arising from field interaction [Baggott] |
24161 | Thermodynamics sees nature as a continuous flow of energy, as radiation and as substance [Baggott] |
21732 | The current standard model requires 61 particles [Baggott] |
24160 | Particle measurements don't seem to reflect their reality [Baggott] |