18 ideas
15527 | Defining terms either enables elimination, or shows that they don't require elimination [Lewis] |
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] |
15530 | A logically determinate name names the same thing in every possible world [Lewis] |
15531 | The Ramsey sentence of a theory says that it has at least one realisation [Lewis] |
15528 | A Ramsey sentence just asserts that a theory can be realised, without saying by what [Lewis] |
15526 | There is a method for defining new scientific terms just using the terms we already understand [Lewis] |
15529 | It is better to have one realisation of a theory than many - but it may not always be possible [Lewis] |
15877 | The aim of science is just to create a comprehensive, elegant language to describe brute facts [Poincaré, by Harré] |