It doesn't matter how many times you multiply one by one, you'll still get one. At no point in the number line does 1^x go OH HEY I'M GOING TO DEVIATE AND BE SIXTY THREE
If you argue that infinity is multipliable and divisible, then you also profess to say that 0.999... repeating infinitely is not equal to one mathematically.
We've had two threads on infinity in math and they're contradicting each other unless you say it's undefined.
Infinity is not a number. Multiplication is defined as "The product of two numbers". Division is defined as "The quotient of two numbers."
I don't see how you can put infinity into these statements and expect a result other than "undefined".
Oh, the weirdness of infinity. So many people don't understand it properly at all, because they try to think of it intuitively--and nothing about mathematical infinity is intuitive.
See, the reason 1^inf is undefined is beacause of these rules:
1^anything = 1
Anything^inf = inf
When those rules are put together in 1^inf, there is no proper answer (besides 'undefined") because you cannot follow both rules in that case, even though both must be followed whenever they can be.
Just because it makes no intuitive sense doesn't mean it's not true. Trying to think of it as multiplying a lot of 1's together won't get you the right answer, because you can never physically multiply an infinity of 1's together.
Also, itmorr: inf - inf is definitely undefined.
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well, squeek, you can multiply and add with infinity, only certain times. I remember vaguely doing all this with limits and **** at the beginning of calculus, but that was three years ago.
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