32 ideas
354 | Wisdom makes virtue and true goodness possible [Plato] |
370 | Philosophy is a purification of the soul ready for the afterlife [Plato] |
350 | In investigation the body leads us astray, but the soul gets a clear view of the facts [Plato] |
362 | The greatest misfortune for a person is to develop a dislike for argument [Plato] |
12456 | I aim to establish certainty for mathematical methods [Hilbert] |
12461 | We believe all mathematical problems are solvable [Hilbert] |
13155 | If you add one to one, which one becomes two, or do they both become two? [Plato] |
9633 | No one shall drive us out of the paradise the Cantor has created for us [Hilbert] |
12460 | We extend finite statements with ideal ones, in order to preserve our logic [Hilbert] |
12462 | Only the finite can bring certainty to the infinite [Hilbert] |
12455 | The idea of an infinite totality is an illusion [Hilbert] |
12457 | There is no continuum in reality to realise the infinitely small [Hilbert] |
12459 | The subject matter of mathematics is immediate and clear concrete symbols [Hilbert] |
18112 | Mathematics divides in two: meaningful finitary statements, and empty idealised statements [Hilbert] |
21347 | If Simmias is taller than Socrates, that isn't a feature that is just in Simmias [Plato] |
360 | We must have a prior knowledge of equality, if we see 'equal' things and realise they fall short of it [Plato] |
1 | There is only one source for all beauty [Plato] |
368 | Other things are named after the Forms because they participate in them [Plato] |
16516 | The ship which Theseus took to Crete is now sent to Delos crowned with flowers [Plato] |
12185 | Logical necessity is epistemic necessity, which is the old notion of a priori [Edgington, by McFetridge] |
9636 | My theory aims at the certitude of mathematical methods [Hilbert] |
357 | People are obviously recollecting when they react to a geometrical diagram [Plato] |
359 | If we feel the inadequacy of a resemblance, we must recollect the original [Plato] |
9343 | To achieve pure knowledge, we must get rid of the body and contemplate things with the soul [Plato] |
15859 | To investigate the causes of things, study what is best for them [Plato] |
13154 | Do we think and experience with blood, air or fire, or could it be our brain? [Plato] |
364 | One soul can't be more or less of a soul than another [Plato] |
361 | It is a mistake to think that the most violent pleasure or pain is therefore the truest reality [Plato] |
351 | War aims at the acquisition of wealth, because we are enslaved to the body [Plato] |
13156 | Fancy being unable to distinguish a cause from its necessary background conditions! [Plato] |
369 | If the Earth is spherical and in the centre, it is kept in place by universal symmetry, not by force [Plato] |
363 | Whether the soul pre-exists our body depends on whether it contains the ultimate standard of reality [Plato] |