14 ideas
19048 | Contextual definition shifted the emphasis from words to whole sentences [Quine] |
19047 | Bentham's contextual definitions preserved terms after their denotation became doubtful [Quine] |
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] |
17423 | The essence of natural numbers must reflect all the functions they perform [Sicha] |
17425 | To know how many, you need a numerical quantifier, as well as equinumerosity [Sicha] |
17424 | Counting puts an initial segment of a serial ordering 1-1 with some other entities [Sicha] |
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] |
19049 | In scientific theories sentences are too brief to be independent vehicles of empirical meaning [Quine] |
19046 | Empiricism improvements: words for ideas, then sentences, then systems, then no analytic, then naturalism [Quine] |
19050 | Holism in language blurs empirical synthetic and empty analytic sentences [Quine] |