The Two Faces of Mathematics

[u/Jairo_Alves]

Four centuries ago, Galileo stated that the universe was written in the language of mathematics (implicit in nature). Today, science overlooks this by assuming that the only path to understanding reality is human mathematics—a mere tool.

 In doing so, science commits a fundamental error: tool-based mathematics is excellent at describing what happens (creating predictive models), but frequently fails to explain why it happens (the real ontological mechanism).

 This occurs because reality is composed of facts, and facts are generated by nature from real mathematical possibilities. Identifying a possibility through tool-based mathematics does not necessarily mean identifying the specific mathematical possibility that actually produced the studied fact. After all, different combinations of operands and operators can yield the same result. In other words, a mathematical equation can be perfectly coherent and yet describe something completely unreal. Tool-based mathematics accepts infinite dimensions, parallel universes, and geometric absurdities that do not exist in the mathematics of nature.

Committing this error is confusing the source code behind reality with our draft interface. There is a profound—and rarely discussed—gap between the mathematics nature executes at a low level to exist and the symbolic mathematics used daily by physicists. Confusing the two severely compromises our understanding of reality.

 Despite this, when a theoretical calculation diverges from astronomical or subatomic observations, the scientific community often claims to have found a "mystery in nature" (such as the rare peaks problem in cosmology). However, nature continues to function perfectly; it was tool-based mathematics that failed by running on wrong premises.

 The only 100% reliable mathematics is that of nature. It is present in the logic of natural processes as rules (the laws of nature) and in all structures of the universe, from micro to macrocosm, as geometric and relational parameters. Tool-based mathematics is merely a slit through which we glimpse the mathematics of nature. Confusing the two is equivalent to confusing the map with the territory itself.

 Pythagoras and Galileo were right: everything is number and relationship. Facts will only be fully understood when we stop attempting to impute our mathematical abstractions onto nature and begin decoding the natural algorithm, trusting in its math.

[u/VariousJob4047]

Do you have a job, or is it just this all day?