20 ideas
1922 | Spiritual qualities only become advantageous with the growth of wisdom [Plato] |
17963 | The facts of geometry, arithmetic or statics order themselves into theories [Hilbert] |
17966 | Axioms must reveal their dependence (or not), and must be consistent [Hilbert] |
11259 | How can you seek knowledge of something if you don't know it? [Plato] |
17967 | To decide some questions, we must study the essence of mathematical proof itself [Hilbert] |
17965 | The whole of Euclidean geometry derives from a basic equation and transformations [Hilbert] |
17964 | Number theory just needs calculation laws and rules for integers [Hilbert] |
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] |
1927 | It seems that virtue is neither natural nor taught, but is a divine gift [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] |
1916 | Even if virtues are many and various, they must have something in common to make them virtues [Plato] |
1918 | How can you know part of virtue without knowing the whole? [Plato] |
13304 | Learned men gain more in one day than others do in a lifetime [Posidonius] |
17968 | By digging deeper into the axioms we approach the essence of sciences, and unity of knowedge [Hilbert] |
20820 | Time is an interval of motion, or the measure of speed [Posidonius, by Stobaeus] |