27 ideas
14179 | The finest branch of wisdom is justice and moderation in ordering states and families [Plato] |
17884 | Mathematical set theory has many plausible stopping points, such as finitism, and predicativism [Koellner] |
17893 | 'Reflection principles' say the whole truth about sets can't be captured [Koellner] |
17894 | We have no argument to show a statement is absolutely undecidable [Koellner] |
17890 | There are at least eleven types of large cardinal, of increasing logical strength [Koellner] |
17887 | PA is consistent as far as we can accept, and we expand axioms to overcome limitations [Koellner] |
17891 | Arithmetical undecidability is always settled at the next stage up [Koellner] |
3291 | Emergent properties appear at high levels of complexity, but aren't explainable by the lower levels [Nagel] |
1607 | Diotima said the Forms are the objects of desire in philosophical discourse [Plato, by Roochnik] |
174 | True opinion without reason is midway between wisdom and ignorance [Plato] |
180 | We call a person the same throughout life, but all their attributes change [Plato] |
181 | Only the gods stay unchanged; we replace our losses with similar acquisitions [Plato] |
173 | Beauty and goodness are the same [Plato] |
4026 | Beauty is harmony with what is divine, and ugliness is lack of such harmony [Plato] |
172 | Love of ugliness is impossible [Plato] |
183 | Stage two is the realisation that beauty of soul is of more value than beauty of body [Plato] |
184 | Progress goes from physical beauty, to moral beauty, to the beauty of knowledge, and reaches absolute beauty [Plato] |
171 | Music is a knowledge of love in the realm of harmony and rhythm [Plato] |
176 | Love follows beauty, wisdom is exceptionally beautiful, so love follows wisdom [Plato] |
14177 | Love assists men in achieving merit and happiness [Plato] |
179 | Love is desire for perpetual possession of the good [Plato] |
177 | If a person is good they will automatically become happy [Plato] |
14178 | Happiness is secure enjoyment of what is good and beautiful [Plato] |
170 | The only slavery which is not dishonourable is slavery to excellence [Plato] |
182 | The first step on the right path is the contemplation of physical beauty when young [Plato] |
3290 | Given the nature of heat and of water, it is literally impossible for water not to boil at the right heat [Nagel] |
175 | Gods are not lovers of wisdom, because they are already wise [Plato] |