17 ideas
| 9808 | Philosophy aims to reveal the grandeur of mathematics [Badiou] |
| 2661 | Dialectic is speech cast in the form of logical argument [Cicero] |
| 2673 | There cannot be more than one truth [Cicero] |
| 11211 | If a sound conclusion comes from two errors that cancel out, the path of the argument must matter [Rumfitt] |
| 2669 | Dialectic assumes that all statements are either true or false, but self-referential paradoxes are a big problem [Cicero] |
| 11210 | Standardly 'and' and 'but' are held to have the same sense by having the same truth table [Rumfitt] |
| 11212 | The sense of a connective comes from primitively obvious rules of inference [Rumfitt] |
| 9812 | In mathematics, if a problem can be formulated, it will eventually be solved [Badiou] |
| 9813 | Mathematics shows that thinking is not confined to the finite [Badiou] |
| 9809 | Mathematics inscribes being as such [Badiou] |
| 9811 | It is of the essence of being to appear [Badiou] |
| 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] |
| 11214 | We learn 'not' along with affirmation, by learning to either affirm or deny a sentence [Rumfitt] |
| 9814 | All great poetry is engaged in rivalry with mathematics [Badiou] |
| 2672 | Virtues must be very detached, to avoid being motivated by pleasure [Cicero] |