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.
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.
12. Some human mathematics is fiction.
10. There is one, true mathematics.
7. There are rational beings with mental powers surpassing those of humans who have a deeper insight into mathematics than we do.
1. Mathematics is about the structure of Being.
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6. Mathematics is applicable because it truly describes the fundamental structure of reality.
2. Mathematics is necessary and true.
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.
4. Human mathematics is the cultural product of a community of rational beings.
8. Model theory provides the correct picture of how mathematical languages describe mathematical reality.