19 ideas
10807 | Mathematics reduces to set theory, which reduces, with some mereology, to the singleton function [Lewis] |
17884 | Mathematical set theory has many plausible stopping points, such as finitism, and predicativism [Koellner] |
17893 | 'Reflection principles' say the whole truth about sets can't be captured [Koellner] |
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] |
17894 | We have no argument to show a statement is absolutely undecidable [Koellner] |
17890 | There are at least eleven types of large cardinal, of increasing logical strength [Koellner] |
10808 | Mathematics is generalisations about singleton functions [Lewis] |
17887 | PA is consistent as far as we can accept, and we expand axioms to overcome limitations [Koellner] |
17891 | Arithmetical undecidability is always settled at the next stage up [Koellner] |
10815 | We don't need 'abstract structures' to have structural truths about successor functions [Lewis] |
3291 | Emergent properties appear at high levels of complexity, but aren't explainable by the lower levels [Nagel] |
10810 | I say that absolutely any things can have a mereological fusion [Lewis] |
3290 | Given the nature of heat and of water, it is literally impossible for water not to boil at the right heat [Nagel] |