18 ideas
18261 | A simplification which is complete constitutes a definition [Kant] |
22275 | Logic gives us the necessary rules which show us how we ought to think [Kant] |
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] |
18260 | If we knew what we know, we would be astonished [Kant] |
5901 | Is 'productive of happiness' the definition of 'right', or the cause of it? [Ross on Bentham] |
5934 | Of Bentham's 'dimensions' of pleasure, only intensity and duration matter [Ross on Bentham] |
3777 | Pleasure and pain control all human desires and duties [Bentham] |
3554 | Bentham thinks happiness is feeling good, but why use morality to achieve that? [Annas on Bentham] |
3781 | The value of pleasures and pains is their force [Bentham] |
3778 | The community's interest is a sum of individual interests [Bentham] |
20280 | Large mature animals are more rational than babies. But all that really matters is - can they suffer? [Bentham] |
3779 | Unnatural, when it means anything, means infrequent [Bentham] |
17968 | By digging deeper into the axioms we approach the essence of sciences, and unity of knowedge [Hilbert] |
3780 | We must judge a thing morally to know if it conforms to God's will [Bentham] |