23 ideas
19579 | The history of philosophy is just experiments in how to do philosophy [Novalis] |
19583 | Philosophy only begins when it studies itself [Novalis] |
19581 | A problem is a solid mass, which the mind must break up [Novalis] |
17453 | The meaning of a number isn't just the numerals leading up to it [Heck] |
18256 | Quantity is inconceivable without the idea of addition [Frege] |
17457 | A basic grasp of cardinal numbers needs an understanding of equinumerosity [Heck] |
19584 | Whoever first counted to two must have seen the possibility of infinite counting [Novalis] |
17448 | In counting, numerals are used, not mentioned (as objects that have to correlated) [Heck] |
17455 | Is counting basically mindless, and independent of the cardinality involved? [Heck] |
17456 | Counting is the assignment of successively larger cardinal numbers to collections [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] |
9831 | Geometry appeals to intuition as the source of its axioms [Frege] |
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] |
22025 | Novalis thought self-consciousness cannot disclose 'being', because we are temporal creatures [Novalis, by Pinkard] |
22067 | Poetry is true idealism, and the self-consciousness of the universe [Novalis] |
19585 | Every person has his own language [Novalis] |
19582 | Morality and philosophy are mutually dependent [Novalis] |
22027 | Life isn't given to us like a novel - we write the novel [Novalis] |
19580 | If the pupil really yearns for the truth, they only need a hint [Novalis] |