Nature's Pattern:
Ian Stewart is stating that mathematics is imprinted on earth itself, "God was a mathematician". He says that we can see this from the natural trends we see in everyday life, e.g. circular ripples honeycombs are perfectly shaped mathematically. However, he states that these raw material or data we do not experience. But we use our senses to capture these data and interpret rationally with our minds. After that, he discusses that maths, maybe a combination of discovery and invention. I guess Stewart is right, I think many of the things that we invent, would be a mixture of both. And if we do not invent things we cannot possibly discover new things, and vice versa. This maybe why mathematics is incorporated in nature, as we extracted it from nature, and invented new theories and codes like numbers to rationalise what we actually sense.
Herd of Elephants:
Stewart compares mathematics to science. He states that we can put science into practice, but how about maths? Scientists use maths to calculate quantitative chemistry, and also physics. Then he writes that we, human beings may well be behaving according to mathematics, but it would be just be too hard to understand. Mathematics is everywhere, and is linked to everything. This suggests the world is programmed by these numbers, figure, mathematics, everything having direct links and correlation to each other. This reminds me of the matrix, how Neo should be quite a good mathematician because he can comprehend the mathematical matrix and manipulate it.
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Natures Pattern:-
In your post, you use the example that earth (nature) has mathematics in itsself, however mathematics is also developed (or 'invented'), to more complex forms by people.
This I agree with, aswell as the part where you mention that almost everything is a mixture of invention and discovery.
Yes, i also have learnt from the text that the developed mathematics is also used in our sense perception, as evidence to support knowledge.
Herd of Elephants:-
Your post states that mathematics, unlike common science, is just a tool to test theories, and that there is a whole lot of mathematics out there that is too complex for any human to understand fully.
I found your opinion on how the post is similar to the world of The matrix, how the matrix is just a scripted world of infinite digits and theories which no one person, can fully read/understand, was quite interesting, however I believe that the scripted world in the matrix is more mathematical than the real world, as u mentioned, neo is able to manipulate the laws of physics and psychology and even reality, as he and his allies are able to manipulate and change the digits order, which in my point of view, is currently impossible in the real world, as it would be far more complex than a computer moniotr with lists of digits on it.
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