19226 | We now know that mathematics only studies hypotheses, not facts [Peirce] |
8642 | Abstraction from things produces concepts, and numbers are in the concepts [Frege] |
1614 | Conceptualism holds that there are universals but they are mind-made [Quine] |
18140 | The best version of conceptualism is predicativism [Bostock] |
18138 | Conceptualism fails to grasp mathematical properties, infinity, and objective truth values [Bostock] |
18063 | Conceptualists say we know mathematics a priori by possessing mathematical concepts [Kitcher] |
18064 | If meaning makes mathematics true, you still need to say what the meanings refer to [Kitcher] |
8731 | Conceptualist are just realists or idealist or nominalists, depending on their view of concepts [Shapiro] |