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“Math began as discovery, description of the real world and the need to see patterns, but now it is beyond reality.” Polanyi

 

Many people explain our existence through faith in a religion, some with natural sciences, and some don't believe we exist at all. The way we understand the world is through different applications of mathematics. Math can only be counted as a belief system. It is considered to be one of the most “certain” areas of knowledge because it is not false. Theorems that have yet to be proven in math aren’t considered to be truths and are therefore not mixed in the concept you call “real” mathematics. The idea of this certainty is fascinating though because you then have to consider if math was created, discovered, or a mix of both. Polyani says in his quote “Math began as discovery, description of the real world and the need to see patterns, but now it is beyond reality.” I feel like this quote has much truth behind it and that the origin of mathematics is not black and white.

 

The quote says: “Math began as discovery.” As we started to develop ourselves, we tend to explain the world around us. The development of speech, forms of writing, and even math were all to communicate with each other. I do think that math exists naturally in the world, but it is our need to communicate it that makes it “math.” Before we were born, math was simply there, and that was just about it. Math is it’s own language, whether it’s symbols that represent complicated ideas, or just numbers that we are taught when we were in kindergarten. I believe this is what we created. We put our labels, our language on something natural, for example, the Fibonacci Sequence: a sequence of numbers where a number is found by adding the previous two numbers together. Then it can be translated into a spiral with the so-called “golden ratio.” We can also connect it to AOK, Art. Math can be played a huge role in art, whether it is symmetry, a math concept, beautiful when applied to art. The “golden ratio” has been applied to art. All of this is to make something more “beautiful,” or pleasing to the eye.

 

The other part of the quotes says, “...now it is beyond reality” is a bit more complicated. The Quadratic equation - negative B plus minus the square root of B squared minus four times A times C over two times A - it makes us start to think whether math is “natural” or “discovered.” I don't think anyone can point it to a place and date where it can be shown clearly. The hardest part to do is state whether math is created or discovered. I believe that at pretty much the beginning of when simple math that you learned as a kid. The idea of the number line 1 to 10, etc. I can see how that is observed in the world, but the concept of negative numbers as created, where is that in nature? By already classifying negative numbers as created, it’s not looking good for the amount of math we have created.

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