22 ideas
1922 | Spiritual qualities only become advantageous with the growth of wisdom [Plato] |
17610 | The Axiom of Choice paradoxically allows decomposing a sphere into two identical spheres [Maddy] |
17620 | Critics of if-thenism say that not all starting points, even consistent ones, are worth studying [Maddy] |
17605 | Hilbert's geometry and Dedekind's real numbers were role models for axiomatization [Maddy] |
17625 | If two mathematical themes coincide, that suggest a single deep truth [Maddy] |
11259 | How can you seek knowledge of something if you don't know it? [Plato] |
17615 | Every infinite set of reals is either countable or of the same size as the full set of reals [Maddy] |
17618 | Set-theory tracks the contours of mathematical depth and fruitfulness [Maddy] |
17614 | The connection of arithmetic to perception has been idealised away in modern infinitary mathematics [Maddy] |
12354 | A 'categorial' property is had by virtue of being or having an item from a category [Wedin] |
12358 | Substance is a principle and a kind of cause [Wedin] |
12346 | Form explains why some matter is of a certain kind, and that is explanatory bedrock [Wedin] |
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] |