Jane Frances McDonnell is a philosopher who focuses on the philosophy of mathematics and physics. She obtained her doctorate from Monash University in Victoria, Australia.
13. The universe of sets V cannot be Gödel’s L; it must be something like Woodin’s Ultimate L which contains all possible large cardinals and has the semantic resources to witness them.
12. Some human mathematics is fiction.
Try QuoteGPT
Chat naturally about what you need. Each answer links back to real quotes with citations.
11. There are no absolutely undecidable propositions in mathematics.
10. There is one, true mathematics.
8. Model theory provides the correct picture of how mathematical languages describe mathematical reality.
7. There are rational beings with mental powers surpassing those of humans who have a deeper insight into mathematics than we do.
6. Mathematics is applicable because it truly describes the fundamental structure of reality.
Share Your Favorite Quotes
Know a quote that's missing? Help grow our collection.
5. We come to know about mathematics by abstracting structure from the world around us and focusing on the structure of Being mirrored in us.
4. Human mathematics is the cultural product of a community of rational beings.
3. Mathematical objects do not exist in a mysterious Platonic heaven totally independent of the physical world. Rather, physical reality is a mental interpretation of a subset of mathematical structure.