12 ideas
| 17879 | Axiomatising set theory makes it all relative [Skolem] |
| 13536 | Skolem did not believe in the existence of uncountable sets [Skolem] |
| 17878 | If a 1st-order proposition is satisfied, it is satisfied in a denumerably infinite domain [Skolem] |
| 17880 | Integers and induction are clear as foundations, but set-theory axioms certainly aren't [Skolem] |
| 17881 | Mathematician want performable operations, not propositions about objects [Skolem] |
| 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] |
| 6005 | Animals are dangerous and nourishing, and can't form contracts of justice [Hermarchus, by Sedley] |