25 ideas
17453 | The meaning of a number isn't just the numerals leading up to it [Heck] |
17457 | A basic grasp of cardinal numbers needs an understanding of equinumerosity [Heck] |
17448 | In counting, numerals are used, not mentioned (as objects that have to correlated) [Heck] |
17456 | Counting is the assignment of successively larger cardinal numbers to collections [Heck] |
17455 | Is counting basically mindless, and independent of the cardinality involved? [Heck] |
17450 | Understanding 'just as many' needn't involve grasping one-one correspondence [Heck] |
17451 | We can know 'just as many' without the concepts of equinumerosity or numbers [Heck] |
17459 | Frege's Theorem explains why the numbers satisfy the Peano axioms [Heck] |
17454 | Children can use numbers, without a concept of them as countable objects [Heck] |
17458 | Equinumerosity is not the same concept as one-one correspondence [Heck] |
17449 | We can understand cardinality without the idea of one-one correspondence [Heck] |
18933 | Not-Being obviously doesn't exist, and the five modes of Being are all impossible [Gorgias, by Diog. Laertius] |
9866 | Gorgias says rhetoric is the best of arts, because it enslaves without using force [Gorgias, by Plato] |
5864 | Destroy seriousness with laughter, and laughter with seriousness [Gorgias] |
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] |