Indeterminism in Physics, Classical Chaos and Bohmian Mechanics: Are Real Numbers Really Real?
Indeterminism in Physics, Classical Chaos and Bohmian Mechanics: Are Real Numbers Really Real?
It is usual to identify initial conditions of classical dynamical systems with mathematical real numbers. However, almost all real numbers contain an infinite amount of information. I argue that a finite volume of space can't contain more than a finite amount of information, hence that the mathematical real numbers are …