28 ideas
10571 | Concern for rigour can get in the way of understanding phenomena [Fine,K] |
10807 | Mathematics reduces to set theory, which reduces, with some mereology, to the singleton function [Lewis] |
10809 | We can accept the null set, but not a null class, a class lacking members [Lewis] |
10811 | The null set plays the role of last resort, for class abstracts and for existence [Lewis] |
10812 | The null set is not a little speck of sheer nothingness, a black hole in Reality [Lewis] |
10813 | What on earth is the relationship between a singleton and an element? [Lewis] |
10814 | Are all singletons exact intrinsic duplicates? [Lewis] |
10565 | There is no stage at which we can take all the sets to have been generated [Fine,K] |
10806 | Megethology is the result of adding plural quantification to mereology [Lewis] |
10564 | We might combine the axioms of set theory with the axioms of mereology [Fine,K] |
10816 | We can use mereology to simulate quantification over relations [Lewis] |
10569 | If you ask what F the second-order quantifier quantifies over, you treat it as first-order [Fine,K] |
10570 | Assigning an entity to each predicate in semantics is largely a technical convenience [Fine,K] |
10573 | Dedekind cuts lead to the bizarre idea that there are many different number 1's [Fine,K] |
10575 | Why should a Dedekind cut correspond to a number? [Fine,K] |
10574 | Unless we know whether 0 is identical with the null set, we create confusions [Fine,K] |
10808 | Mathematics is generalisations about singleton functions [Lewis] |
10560 | Set-theoretic imperialists think sets can represent every mathematical object [Fine,K] |
10815 | We don't need 'abstract structures' to have structural truths about successor functions [Lewis] |
10568 | Logicists say mathematics can be derived from definitions, and can be known that way [Fine,K] |
10563 | A generative conception of abstracts proposes stages, based on concepts of previous objects [Fine,K] |
10810 | I say that absolutely any things can have a mereological fusion [Lewis] |
14794 | Instead of seeking Truth, we should seek belief that is beyond doubt [Peirce] |
14792 | A 'conception', the rational implication of a word, lies in its bearing upon the conduct of life [Peirce] |
14793 | The definition of a concept is just its experimental implications [Peirce] |
10561 | Abstraction-theoretic imperialists think Fregean abstracts can represent every mathematical object [Fine,K] |
10562 | We can combine ZF sets with abstracts as urelements [Fine,K] |
10567 | We can create objects from conditions, rather than from concepts [Fine,K] |