16 ideas
| 17743 | De Morgan introduced a 'universe of discourse', to replace Boole's universe of 'all things' [De Morgan, by Walicki] |
| 13163 | Circles must be bounded, so cannot be infinite [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] |
| 13162 | Sloth's Syllogism: either it can't happen, or it is inevitable without my effort [Leibniz] |
| 19339 | Evil is a negation of good, which arises from non-being [Leibniz] |
| 13164 | God only made sin possible because a much greater good can be derived from it [Leibniz] |