8 ideas
10528 | Definitions concern how we should speak, not how things are [Fine,K] |
17423 | The essence of natural numbers must reflect all the functions they perform [Sicha] |
17425 | To know how many, you need a numerical quantifier, as well as equinumerosity [Sicha] |
17424 | Counting puts an initial segment of a serial ordering 1-1 with some other entities [Sicha] |
10529 | If Hume's Principle can define numbers, we needn't worry about its truth [Fine,K] |
10530 | Hume's Principle is either adequate for number but fails to define properly, or vice versa [Fine,K] |
10190 | From the axiomatic point of view, mathematics is a storehouse of abstract structures [Bourbaki] |
10527 | An abstraction principle should not 'inflate', producing more abstractions than objects [Fine,K] |