12 ideas
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] |
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] |
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] |
15642 | If kinds depend only on what can be observed, many underlying essences might produce the same kind [Eagle] |
15643 | Nominal essence mistakenly gives equal weight to all underlying properties that produce appearances [Eagle] |
15645 | Nominal essence are the observable properties of things [Eagle] |
22363 | You have only begun to do real science when you can express it in numbers [Kelvin] |
15641 | Kinds are fixed by the essential properties of things - the properties that make it that kind of thing [Eagle] |
20644 | Energy has progressed from a mere formula, to a principle pervading all nature [Kelvin] |