14 ideas
2661 | Dialectic is speech cast in the form of logical argument [Cicero] |
2673 | There cannot be more than one truth [Cicero] |
2669 | Dialectic assumes that all statements are either true or false, but self-referential paradoxes are a big problem [Cicero] |
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] |
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] |
2664 | If we have complete healthy senses, what more could the gods give us? [Cicero] |
2665 | How can there be a memory of what is false? [Cicero] |
20800 | Every true presentation can have a false one of the same quality [Cicero] |
7667 | There are two sides to men - the pleasantly social, and the violent and creative [Diderot, by Berlin] |
2672 | Virtues must be very detached, to avoid being motivated by pleasure [Cicero] |
17968 | By digging deeper into the axioms we approach the essence of sciences, and unity of knowedge [Hilbert] |