21 ideas
12452 | Our dislike of contradiction in logic is a matter of psychology, not mathematics [Brouwer] |
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] |
10806 | Megethology is the result of adding plural quantification to mereology [Lewis] |
10816 | We can use mereology to simulate quantification over relations [Lewis] |
12451 | Scientific laws largely rest on the results of counting and measuring [Brouwer] |
10808 | Mathematics is generalisations about singleton functions [Lewis] |
10815 | We don't need 'abstract structures' to have structural truths about successor functions [Lewis] |
12454 | Intuitionists only accept denumerable sets [Brouwer] |
12453 | Neo-intuitionism abstracts from the reuniting of moments, to intuit bare two-oneness [Brouwer] |
17644 | Metaphysical realism is committed to there being one ultimate true theory [Putnam] |
17648 | It is an illusion to think there could be one good scientific theory of reality [Putnam] |
17643 | Shape is essential relative to 'statue', but not essential relative to 'clay' [Putnam] |
10810 | I say that absolutely any things can have a mereological fusion [Lewis] |
17642 | The old view that sense data are independent of mind is quite dotty [Putnam] |
10117 | Intuitonists in mathematics worried about unjustified assertion, as well as contradiction [Brouwer, by George/Velleman] |
17645 | An alien might think oxygen was the main cause of a forest fire [Putnam] |