10 ideas
12452 | Our dislike of contradiction in logic is a matter of psychology, not mathematics [Brouwer] |
12451 | Scientific laws largely rest on the results of counting and measuring [Brouwer] |
12454 | Intuitionists only accept denumerable sets [Brouwer] |
12453 | Neo-intuitionism abstracts from the reuniting of moments, to intuit bare two-oneness [Brouwer] |
9086 | The idea of abstract objects is not ontological; it comes from the epistemological idea of abstraction [Plantinga] |
9087 | Theists may see abstract objects as really divine thoughts [Plantinga] |
10117 | Intuitonists in mathematics worried about unjustified assertion, as well as contradiction [Brouwer, by George/Velleman] |
9085 | If propositions are concrete they don't have to exist, and so they can't be necessary truths [Plantinga] |
19216 | Propositions (such as 'that dog is barking') only exist if their items exist [Williamson] |
9084 | Propositions can't just be in brains, because 'there are no human beings' might be true [Plantinga] |