20 ideas
7910 | Pursue truth with the urgency of someone whose clothes are on fire [Ashvaghosha] |
10185 | Set theory is the standard background for modern mathematics [Burgess] |
10184 | Structuralists take the name 'R' of the reals to be a variable ranging over structures, not a structure [Burgess] |
10189 | There is no one relation for the real number 2, as relations differ in different models [Burgess] |
10186 | If set theory is used to define 'structure', we can't define set theory structurally [Burgess] |
10187 | Abstract algebra concerns relations between models, not common features of all the models [Burgess] |
10188 | How can mathematical relations be either internal, or external, or intrinsic? [Burgess] |
23814 | Every human yearns for an unattainable transcendent good [Weil] |
23824 | Where human needs are satisfied we find happiness, friendship and beauty [Weil] |
23815 | We cannot equally respect what is unequal, so equal respect needs a shared ground [Weil] |
23823 | Life needs risks to avoid sickly boredom [Weil] |
23822 | We all need to partipate in public tasks, and take some initiative [Weil] |
23817 | We need both equality (to attend to human needs) and hierarchy (as a scale of responsibilities) [Weil] |
23819 | Deliberate public lying should be punished [Weil] |
23818 | We have liberty in the space between nature and accepted authority [Weil] |
23820 | People need personal and collective property, and a social class lacking property is shameful [Weil] |
23821 | Crime should be punished, to bring the perpetrator freely back to morality [Weil] |
23816 | Attention to a transcendent reality motivates a duty to foster the good of humanity [Weil] |
7909 | The Eightfold Path concerns morality, wisdom, and tranquillity [Ashvaghosha] |
7908 | At the end of a saint, he is not located in space, but just ceases to be disturbed [Ashvaghosha] |