20 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] |
9175 | We may fix the reference of 'Cicero' by a description, but thereafter the name is rigid [Kripke] |
9171 | The function of names is simply to refer [Kripke] |
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] |
4483 | If abstract terms are sets of tropes, 'being a unicorn' and 'being a griffin' turn out identical [Loux] |
4481 | Austere nominalists insist that the realist's universals lack the requisite independent identifiability [Loux] |
4477 | Universals come in hierarchies of generality [Loux] |
4482 | Austere nominalism has to take a host of things (like being red, or human) as primitive [Loux] |
4478 | Nominalism needs to account for abstract singular terms like 'circularity'. [Loux] |
4480 | Times and places are identified by objects, so cannot be used in a theory of object-identity [Loux] |
9174 | It is necessary that this table is not made of ice, but we don't know it a priori [Kripke] |
9172 | A 'rigid designator' designates the same object in all possible worlds [Kripke] |
9173 | We cannot say that Nixon might have been a different man from the one he actually was [Kripke] |
9176 | Modal statements about this table never refer to counterparts; that confuses epistemology and metaphysics [Kripke] |
9177 | Identity theorists must deny that pains can be imagined without brain states [Kripke] |
9178 | Pain, unlike heat, is picked out by an essential property [Kripke] |