When one tries to find the limit of a function one uses the infinitesimal difference between two infinitesimal numbers. This is not the same as finding the derivative of the function at a point of interest. Nevertheless the derivative is defined as the ratio of two infinitesimal differences where a limit exists as the denominator approaches zero. Yet the existence of this difference is based on an axiom of choice. That is to say we choose its existence not that it really exists at all! Therefore continuity is a consequence of the axiom of choice and the true essence of reality is quantized. It really is a quantum universe that we live in. It just appears continuous using Einstein’s general relativity because Einstein had chosen it to be so.


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