This page by Dr Cecilia Barnbaum of Valdosta University exemplifies the problem. On the one hand she has to acknowledge that actually there are fundamental connections between formulations derived from pure mathematics, and phenomena which exist in the physical universe. On the other she claims that human concepts of number are products of pure human imagination and that they bear no relation to the physical universe.

In order to accomodate these irreconcilable positions she concludes that “the structure of the universe itself seems to be imprinted on the human mind”, a statement which, once you think about it, deliciously contradicts the assertion that “pure notions of number … do not need physics to exist”.

We live in a universe entirely born of, governed by, and structured according to a natural mathematicality*, and it should come as no surprise if human maths and natural physics can both be derived from the same first principles.

Quantity is a physical property. Human systems of number are fundamentally based on quantitative relationships. Human systems of number describe natural quantitative relationships. This is both logically reasonable and supported by evidence.

*The term ‘mathematicality’ is used to differentiate the natural laws of numerical relationships from the human descriptions of those laws, called ‘maths’ and ‘mathematics’

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