Quote:
Just know that infinity has different sizes (eg: infinity integers is smaller than infinity real numbers)
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No dude, infinity doesn't have sizes. I know what you mean, I understand the different number sets, but the problem is that infinity is a
concept, not a
number. You can't think of infinity as a limitless set of values, such as natural numbers, certain fractional intervals, or even the set of real numbers. It's not a limitless set of values, but simply is the concept of a continuing function. There are no increments associated with it. Using infinity in algebra and calculus is ok, but you have to remember that when you write it, what you're writing is just a symbol representing the concept on the graph you're interpreting.
Sorry about the hijack.