Discussion of foundation of mathematics and quantum theory
Abstract
Abstract Following the results of our recently published book [F. Lev, Finite Mathematics as the Foundation of Classical Mathematics and Quantum Theory. With Applications to Gravity and Particle Theory, Springer, 2020, ISBN 978-3-030-61101-9], we discuss different aspects of classical and finite mathematics and explain why finite mathematics based on a finite ring of characteristic p p is more general (fundamental) than classical mathematics: the former does not have foundational problems, and the latter is a special degenerate case of the former in the formal limit p → ∞ p\to \infty . In particular, quantum theory based on a finite ring of characteristic p p is more general than standard quantum theory because the latter is a special degenerate case of the former in the formal limit p → ∞ p\to \infty .
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