I wish I new more about math. Recently I have found out about two unsolved math problems that are completely fascinating to me. The first is that the unending digits in the number Pi never appear to have any pattern to them, it is possible that they are completely random.
The other math problem is that we do not know the sequence in which prime numbers occur, it is possible that they too are completely random.
I think the answer to these problems have some interesting implications. If the answer is that they are random sequences, then math is not the only language that explains the universe. Is it possible that math is a paradigm (a rule set with limitations)? Could it be that another paradigm needs to be discovered to explain randomnimity and infinity, another "rule set" that humans have not yet invented? Do these unexplained non-patterns take us out of the realms of math and knock on the door of a god that is not bound by the paradigm of math?
Or, will patterns in these instances actually be found, which could mean that true randomnimity does not exist and perhaps everything could be mathematically predicted. That would mean that some one would be able to calculate what I decide to do five minutes from now. Would that mean that there isn't a god? That all of my choices actually are not choices at all, but occurances that can be predicted through calculations?
Right now I am siding on the idea that randomness and choice do exist outside of the realm of the laws of nature and that there is a god beyond that which mathematical formulas can explain. I think randomnimity is related to free will and that infinity is related to eternity.
One last note to leave you on: If an exact value for Pi doesn't exist, then it will always be impossible for imperfect humans to construct a perfect circle. Ponder that one for a while.
The other math problem is that we do not know the sequence in which prime numbers occur, it is possible that they too are completely random.
I think the answer to these problems have some interesting implications. If the answer is that they are random sequences, then math is not the only language that explains the universe. Is it possible that math is a paradigm (a rule set with limitations)? Could it be that another paradigm needs to be discovered to explain randomnimity and infinity, another "rule set" that humans have not yet invented? Do these unexplained non-patterns take us out of the realms of math and knock on the door of a god that is not bound by the paradigm of math?
Or, will patterns in these instances actually be found, which could mean that true randomnimity does not exist and perhaps everything could be mathematically predicted. That would mean that some one would be able to calculate what I decide to do five minutes from now. Would that mean that there isn't a god? That all of my choices actually are not choices at all, but occurances that can be predicted through calculations?
Right now I am siding on the idea that randomness and choice do exist outside of the realm of the laws of nature and that there is a god beyond that which mathematical formulas can explain. I think randomnimity is related to free will and that infinity is related to eternity.
One last note to leave you on: If an exact value for Pi doesn't exist, then it will always be impossible for imperfect humans to construct a perfect circle. Ponder that one for a while.

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