16 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] |
12219 | Whether a modal claim is true depends on how the object is described [Quine, by Fine,K] |
10922 | Objects are the values of variables, so a referentially opaque context cannot be quantified into [Quine] |
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] |
5062 | First: there must be reasons; Second: why anything at all?; Third: why this? [Leibniz] |
19377 | A monad and its body are living, so life is everywhere, and comes in infinite degrees [Leibniz] |
10923 | Aristotelian essentialism says a thing has some necessary and some non-necessary properties [Quine] |
10921 | Necessity can attach to statement-names, to statements, and to open sentences [Quine] |
10924 | Necessity is in the way in which we say things, and not things themselves [Quine] |
19353 | 'Perception' is basic internal representation, and 'apperception' is reflective knowledge of perception [Leibniz] |
5061 | Animals are semi-rational because they connect facts, but they don't see causes [Leibniz] |
5063 | Music charms, although its beauty is the harmony of numbers [Leibniz] |