“8. Model theory provides the correct picture of how mathematical languages describe mathematical reality.”
JF
“1. Mathematics is about the structure of Being.”
Jane Frances McDonnell
“2. Mathematics is necessary and true.”
Jane Frances McDonnell
“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 structur...”
Jane Frances McDonnell
“4. Human mathematics is the cultural product of a community of rational beings.”
Jane Frances McDonnell
“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.”
Jane Frances McDonnell