28 ideas
14179 | The finest branch of wisdom is justice and moderation in ordering states and families [Plato] |
14085 | 'Deductivist' structuralism is just theories, with no commitment to objects, or modality [Linnebo] |
14084 | Non-eliminative structuralism treats mathematical objects as positions in real abstract structures [Linnebo] |
14086 | 'Modal' structuralism studies all possible concrete models for various mathematical theories [Linnebo] |
14087 | 'Set-theoretic' structuralism treats mathematics as various structures realised among the sets [Linnebo] |
14089 | Structuralism differs from traditional Platonism, because the objects depend ontologically on their structure [Linnebo] |
14083 | Structuralism is right about algebra, but wrong about sets [Linnebo] |
14090 | In mathematical structuralism the small depends on the large, which is the opposite of physical structures [Linnebo] |
14091 | There may be a one-way direction of dependence among sets, and among natural numbers [Linnebo] |
14088 | An 'intrinsic' property is either found in every duplicate, or exists independent of all externals [Linnebo] |
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] |
181 | Only the gods stay unchanged; we replace our losses with similar acquisitions [Plato] |
180 | We call a person the same throughout life, but all their attributes change [Plato] |
4026 | Beauty is harmony with what is divine, and ugliness is lack of such harmony [Plato] |
172 | Love of ugliness is impossible [Plato] |
173 | Beauty and goodness are the same [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] |
175 | Gods are not lovers of wisdom, because they are already wise [Plato] |