5 ideas
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] |
22716 | Von Neumann defined ordinals as the set of all smaller ordinals [Neumann, by Poundstone] |
468 | Musical performance can reveal a range of virtues [Damon of Ath.] |
20525 | Free markets lead to boom and bust, pointless middlemen, and alienated workers [Engels] |