19 ideas
19336 | Wisdom involves the desire to achieve perfection [Leibniz] |
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] |
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] |
17449 | We can understand cardinality without the idea of one-one correspondence [Heck] |
17458 | Equinumerosity is not the same concept as one-one correspondence [Heck] |
7696 | Leibniz first asked 'why is there something rather than nothing?' [Leibniz, by Jacquette] |
19341 | There must be a straining towards existence in the essence of all possible things [Leibniz] |
19428 | Because something does exist, there must be a drive in possible things towards existence [Leibniz] |
18431 | Internal relations combine some tropes into a nucleus, which bears the non-essential tropes [Simons, by Edwards] |
5047 | The world is physically necessary, as its contrary would imply imperfection or moral absurdity [Leibniz] |
19343 | We follow the practical rule which always seeks maximum effect for minimum cost [Leibniz] |
19429 | The principle of determination in things obtains the greatest effect with the least effort [Leibniz] |