This section asserts my belief in the universe following mathematical rules and equations. This could be useful to add in my statement of positionality.
The author’s final argument to explain the unreasonable effectiveness of mathematics is that mathematical concepts are inventions that act as formalisms of the behaviour of nature and the cosmos or universe.
The patterns that build from these concepts are discoveries. Since this has not been proven mathematically, the paradox of unproven entities may apply to this. However, discussing this in a largely non- mathematical way I do agree to most of the author’s arguments.
I feel that there is a system according to which nature and the cosmos functions. Humans have discovered only miniscule fragments of this system and have represented their discoveries through the language of mathematics, the fundamental concepts of which are in fact formalisms to explain nature and the cosmos, but I consider to be discovered as they only state what exists in a different way.
I believe mathematics, as it is today, is the best way to describe nature, but is still not perfect. Mathematics works best on abstract concepts but leaves a small room for error in practical applications.
The study of probability and prediction, according to me, is purely an invention and is not a way to describe nature and the cosmos. I believe that assumptions are predictions that arise from the same inventions that are convenient for humans. The author says, for example, that the ring of smoke rising from a cigarette is unpredictable due to uncertain conditions. I believe that uncertainty is a human invention.
No one wishes to put much effort in showing the shape and the size of the smoke ring by measuring a number of variables, some of which probably have not been discovered yet.
(This can be attributed to the amount of time and effort it takes to do so, and also the small amount of materialistic rewards or prizes one would get in comparison to describing the nature of the fabric of spacetime. )
Some of these variables are air pressure, air velocity, air temperature and so on. The size or shape of a smoke ring might even change due to temperature flux or difference, sound in the environment, the smallest of convectional currents set up by differential heating caused by different light intensities, etc.
The theory of probability is a wonderful substitute, an abstraction that hides all these details that are extremely difficult to measure. However,
I believe that if each of these things is measured, along with the non- discovered things, a 100% accurate result can be obtained. I believe that the normal world behaves like the Platonic world, only that we have yet to gain knowledge of what differentiates a number like 0.999999999999999999999999999999……… and 1.
Dr. A says
March 30, 2023 at 8:41 pmI love it. And I think there’s much value in believing in ideals such as the one imagined here. However, the could be some dangers in this belief, too. Can you imagine what those might be?