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Classical mathematics (involving such notions as infinitely small/large andcontinuity) is usually treated as fundamental while finite mathematics istreated as inferior which is used only in special applications. We first arguethat the situation is the opposite: classical mathematics is only a degeneratespecial case of finite one and finite mathematics is more pertinent fordescribing nature than standard one. Then we describe results of a quantumtheory based on finite mathematics. Implications for foundation of mathematicsare discussed.

Why Finite Mathematics Is The Most Fundamental and Ultimate Quantum Theory Will Be Based on Finite Mathematics