21 ideas
13407 | All worthwhile philosophy is synthetic theorizing, evaluated by experience [Papineau] |
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] |
15091 | Restrict 'logical truth' to formal logic, rather than including analytic and metaphysical truths [Shoemaker] |
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] |
13409 | Our best theories may commit us to mathematical abstracta, but that doesn't justify the commitment [Papineau] |
15095 | A property's causal features are essential, and only they fix its identity [Shoemaker] |
15097 | I claim that a property has its causal features in all possible worlds [Shoemaker] |
15094 | I now deny that properties are cluster of powers, and take causal properties as basic [Shoemaker] |
15099 | If something is possible, but not nomologically possible, we need metaphysical possibility [Shoemaker] |
15101 | Once you give up necessity as a priori, causal necessity becomes the main type of necessity [Shoemaker] |
15098 | Empirical evidence shows that imagining a phenomenon can show it is possible [Shoemaker] |
15100 | Imagination reveals conceptual possibility, where descriptions avoid contradiction or incoherence [Shoemaker] |
13406 | A priori knowledge is analytic - the structure of our concepts - and hence unimportant [Papineau] |
13408 | Intuition and thought-experiments embody substantial information about the world [Papineau] |
15096 | 'Grue' only has causal features because of its relation to green [Shoemaker] |
13410 | Verificationism about concepts means you can't deny a theory, because you can't have the concept [Papineau] |
15093 | We might say laws are necessary by combining causal properties with Armstrong-Dretske-Tooley laws [Shoemaker] |