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dividing by zero is undefined but not infinity, why is this if its not digital overflow?
Google says dividing by zero is not infinity however when you divide by something, it is like taking the number you are dividing by away from the original number until you can't do it without making it a negative meaning if you take 0 away from another number it still equals that number and you can take 0 away infinitely but even though you can take 0 away infinitely it is not infinity despite that, could this just be digital overflow on a calculator that presented the Idea that 0/0 is undefined rather than infinity and people took it as fact or is there more to this. This brings the question why is 0*(0/0) undefined when it should be 0 because even infinity multiplied by zero is still zero (anything multiplied by 0 is 0) but this would make sense if it was because of digital overflow, that way it isn't meaningless but instead equals the highest possible number which isn't an achievable number in the terms of dots or lines but instead a value that matches the distance between the edges of space (space continues infinitely).
2 Answers
- 3 months ago
(as a response to Anonymous) A mathematical equation is not reliant on a multiplicative inverse for it to have an answer. Another case that would make sense is that infinity is undefined, seeing as there is no number that can describe infinity it would likely be the most accurate way to apply an impossible calculation. I would also like to mention that there wasn't, isn't, and never will be a way to measure the existing space, which presents the idea that when Albert said that space was constantly expanding, he was attempting to provide a way to understand the concept of infinity, which would make sense because space exists but does not hold shape or size but if it were to be constantly expanding then it would also have a definite size and shape. The idea of space constantly expanding would bring questions like how fast is space expanding and what exists outside of space both questions being impossible to answer.
P.S. This is meant to be critical analysis, not an insult.
- Anonymous4 months ago
Dividing by zero is an asymptotic approach, but infinity is a mathematical concept rather than a number. Since zero is nothing, it is also not really "something". You can't divide by zero because it has no meaning that can be expressed in anything but a non-numerical symbol. Even the way you put it is flawed. The distance between the edges of space is not considered a constant in an expanding universe.
Further, Heisenberg's Uncertainty Principle also kicks in having to do with measurement action affecting the thing that is being measured and no longer can be known except as a probability function at best.
The problem you run into is 2 times infinity is still infinity.
This explains it better using other mathematical fundamentals instead that breakdown.