Are There an Infinite amount of points on a Circle?
The Idea is simple and can be ignorant. If there is an infinite amount of points on a line and you contruct the line into a circle, how can infinity exists when you are able to go in a circle more than once?
Or maybe there isn't an infinity amount of points on a finite line?
Yes
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No
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Mathematics allows us to make as many divisions of a set numbers that we so choose. So you can have a finite set, say 1 to 2, this can also be an infinite set by dividing and dividing infinitely. You can start at any arbitrary point and continue the same process. Infinity is an abstract concept, not a value, to say there are an infinite amount of points in anything is to conceptualize, simply because nobody will want to compute the numbers, because there is no point, and that computation will never end, it's why in science there is the concept of the infinitesimally small, a value so small it makes no meaningful difference. Side: Yes
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What doesn't make sense to me is that we can divide the finite set, 1 to 2, to infinite division but the starting point is always from 1 to 2 with 1 being the beginning of the set, to 2 being the end of the set. Doesn't the existence of 2 proves proves that there is no infinity because 2 is the ending number of the "infinite" divisions? And i quoted "infinite" because i am saying that infinity do not exist. Side: Yes
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Doesn't the existence of 2 proves proves that there is no infinity because 2 is the ending number of the "infinite" divisions? No, the existence of 2 shows the end of the set, an arbitrary "line in the sand" so to speak, we make a distinction at this point in order to describe a value. Infinity is a property of the set, but not something used assign a value. Side: Yes
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