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Post by general313 on May 10, 2020 21:05:40 GMT
It is exact. If is not, then tell me how much in error the infinite sum is from the fraction. Mathematicians do have that many digits; calculator precision is beside the point. The difference is described as "infinitesimal" which must be larger than zero because there must always be ("infinite" process, remember) an even smaller number before reaching zero. In order for the sum to be equal to 1 the difference must actually be zero which it never is. While indeed the difference is negligible in all real world applications that does not mean there is an actual equality. No, mathematicians do not confuse any ongoing process with fixed quantities, just retarded atheists who think they are mathematicians or scientists simply because they failed religion too. If "infinitesimal" means the "same" thing as "zero" why not just say zero? You are quite wrong. The decimal expansion of a number such as 1/7 is by definition the exact representation of that number. In other words, (1/7) - (0.142857142857...) = 0. You seem to be suffering from the misconception that since there's an infinity of numbers that the task of summing can never be completed. This is wrong, as can be demonstrated, going back to one of the examples from Zeno's paradoxes: divide a one-meter bar into the first half, the remaining half in two, ad infinitum. There are an infinite number of such half segments. Now, how long will it take to traverse all of these half segments when travelling at 1 meter per second? The answer is one second. We crossed an infinite number of segments in finite time. Nothing special about this really, we're essentially chopping up a finite time the same way we're chopping up a finite distance. By the way, if you're going to continue using misplaced childish insults, I may just tell you to go fuck yourself.
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