10 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] |
4304 | Descartes says there are two substance, Spinoza one, and Leibniz infinitely many [Cottingham] |
6019 | If someone squashed a horse to make a dog, something new would now exist [Mnesarchus] |
4303 | The notion of substance lies at the heart of rationalist metaphysics [Cottingham] |
4306 | For rationalists, it is necessary that effects be deducible from their causes [Cottingham] |