18 ideas
1922 | Spiritual qualities only become advantageous with the growth of wisdom [Plato] |
20768 | Like spiderswebs, dialectical arguments are clever but useless [Ariston, by Diog. Laertius] |
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] |
11259 | How can you seek knowledge of something if you don't know it? [Plato] |
22716 | Von Neumann defined ordinals as the set of all smaller ordinals [Neumann, by Poundstone] |
20219 | True opinions only become really valuable when they are tied down by reasons [Plato] |
5985 | Seeking and learning are just recollection [Plato] |
5986 | The slave boy learns geometry from questioning, not teaching, so it is recollection [Plato] |
1923 | As a guide to action, true opinion is as good as knowledge [Plato] |
1919 | You don't need to learn what you know, and how do you seek for what you don't know? [Plato] |
1913 | Is virtue taught, or achieved by practice, or a natural aptitude, or what? [Plato] |
1921 | If virtue is a type of knowledge then it ought to be taught [Plato] |
1927 | It seems that virtue is neither natural nor taught, but is a divine gift [Plato] |
3049 | The chief good is indifference to what lies midway between virtue and vice [Ariston, by Diog. Laertius] |
1918 | How can you know part of virtue without knowing the whole? [Plato] |
1916 | Even if virtues are many and various, they must have something in common to make them virtues [Plato] |
3549 | Ariston says rules are useless for the virtuous and the non-virtuous [Ariston, by Annas] |