19 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] |
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] |
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] |
21339 | We want the ontology of relations, not just a formal way of specifying them [Heil] |
21349 | Two people are indirectly related by height; the direct relation is internal, between properties [Heil] |
21340 | Maybe all the other features of the world can be reduced to relations [Heil] |
21348 | In the case of 5 and 6, their relational truthmaker is just the numbers [Heil] |
21351 | Truthmaking is a clear example of an internal relation [Heil] |
21344 | If R internally relates a and b, and you have a and b, you thereby have R [Heil] |
21350 | If properties are powers, then causal relations are internal relations [Heil] |
7903 | The six perfections are giving, morality, patience, vigour, meditation, and wisdom [Nagarjuna] |