Science
In reply to the discussion: Quantum Biology and the Puzzle of Coherence [View all]Joseph8th
(228 posts)Welll... that's not what I'm suggesting. String theory solution is topological, but still over a field (i.e., real or complex, not a ring or lattice, and not a physical field), in that way maintaining uniformity of spacetime so that relativity can hold at near Planck scales. In that all fields depend on ZFC set theory, it's just really silly to toss Cantor out the window for no reason at all. Not sure where you got that. There has been some research into the possible usefulness of some number theory to string theory, but we don't just abandon set theory willy-nilly.
P-adics are interesting and useful in some contexts, but are just another way of expressing numbers. Particularly useful as a way of dealing with incomprehensibly tiny rationals without resort to decimal expansion or scientific notation.
Again, it's a mistake to look to mathematics for answers to empirical problems. Look to math for useful tools to model empirical data within the scientific method... sure. But not the meaning of life or true nature of reality. Math isn't 'real'. It's all in our heads. Abstract.