Math, a discovered tool or an invented language?
The electron and the photon were “discovered”. -And so humans “invented” the words itself, and crafted the formulas, for such discovered QM items to be described and managed. -Physics then revealed being both discovery and invention. The issue here is if the specific formula is a discovery or an invention. -One lean to categorize such formulas, like Heisenberg’s or Schrödinger’s for discoveries, not inventions. -If being absolute.
Mathematics is also, both, an invented language and a tool for handling discoveries of items and phenomenon that humans count and describe. One example: Tritium is hydrogen with two neutrons and one proton. Deuterium is hydrogen with one neutron beside the proton. And an ordinary hydrogen nucleus has zero neutrons and only one proton.
These are mathematical (2, 1, 0) (and chemical) “discoveries” about numbers of neutrons. -You don’t invent numbers of neutrons here, you strictly mathematically discover the amounts.
A better example of math being primary discovery, is the quest for different mathematical riddles. Which some have been discovered (solved). And some still remain unsolved, waiting for discovery.
More examples is Pi, where you discover more and more end numbers. You don’t invent Pi. -It’s a true discovery, with no final digit. Still, the varying algebra and formulas in the Pi quest are invented. -An invented mathematical language, or tool, for the mining of digits.
Mathematics can also be said to execute number- manipulations as a primer function or work. You start with some digits and get some other – manipulated – figures. Math can therefore be seen as a number-converter, more or less sophisticated. Math has rules and orders of work flow, to do so. Calling math for a language does not tell the whole story.
Math is universal and used in all sorts of disciplines, statistics, algebra, physics, chemistry, biology, weather analysis and so on. It is astonishing how often it can come to use. QM math, for example, is more used as a tool for investigating outcome, behavior, probability, symmetry, existence and more physical realities. Schrödinger’s equation is especially used here to – investigate – the local wave function in several manners. -Time is here a key parameter describing its evolution, and sustains with predictions.
An example of QM math
Mathematics can though be incorporated into the wide concept of languages as a part of it. -Maybe not being a solitary unique such. Still, when a unique set of written symbols are incorporated to the criteria of becoming a language of its own, then mathematics can, also, be seen as invented. -When the “total” symbol itself is an invention for, either, an absolute entity or, an non-absolute such. -And, as mentioned, if the mathematics is absolute, it’s a discovery. Non-absolute math are however more or less accurate inventions. I.e. the symbol itself is always an invention. -Though the entity represented by the mathematical symbol can either be a discovery (e.g. discovering Pi) or an invention (e.g. inventing the imaginary unit, i ).
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