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Nick666
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Well? Is it equal to zero ? If there are threads with this subject, redirect me to them please.
Nick666 said:Well? Is it equal to zero ? If there are threads with this subject, redirect me to them please.
In that case we can read about the extended real line.mgb_phys said:To an engineer or physicist yes.
We aren't as squeamish as mathematicians when it comes to needing an answer.
Nick666 said:Well? Is it equal to zero ? If there are threads with this subject, redirect me to them please.
Nick666 said:Let oo be 999... :) . ( oh, can 999... be infinity ?)
Nick666 said:And another question about the sum you wrote. Isnt every element of that sum a natural number? (9, 90, 900, 9000 etc)
Nick666 said:And another question about the sum you wrote. Isnt every element of that sum a natural number? (9, 90, 900, 9000 etc) Or let me put it another way. 10^k, when k ->oo , isn't that a natural number ? I mean, if we multiply 10 by 10 by 10... and so on, shouldn't we get a natural number?
matt grime said:Oh dear, so many misconceptions here.
1/oo is a perfectly good symbol. In the extended complex plane it is 0. As it would be in the extended reals - you do not need limits at all to answer that. However, the symbol 1/oo does not have a canonical meaning - I can think of no symbol in mathematics that has a canonical meaning. It's not even true that there is a unique meaning for the symbol 1, or 0 for that matter, is there, so why should there be such a meaning here?
Nick666 said:I still don't understand how, if you add a natural number to a natural number and another natural number and so on,you don't get a natural number. If you add 1 apple and 1 apple and 1 apple and so on, don't you get an infinite number... of apples ?
I really hope the moderators move it to the Philosophy forum.CRGreathouse said:If you add any finite number of integers, you get an integer. If you add an infinite number of integers you could get a natural number or an undefined result. In the 'extended integers' you could get infinity or -infinity in addition to those two.
Kummer said:Note: Have you ever wondered why professional mathematicians never argue (or even discuss) these topics? Because as I said it has little to do with math (perhaps even nothing).
matt grime said:I want to cry.
Remember https://www.physicsforums.com/showthread.php?t=147092 ?JonF said:cheer up matt, at least this isn't another 1/0 = 0 thread
The mathematical concept of infinity is a quantity that is unbounded, meaning it has no defined or specific value. It is often represented by the symbol ∞ and is used to describe something that has no limit or end.
No, 1 cannot be divided by infinity. This is because infinity is not a specific number and does not have a defined value. Division by infinity is not a valid mathematical operation.
No, 1 divided by infinity is not equal to zero. As mentioned before, division by infinity is not a valid mathematical operation. Instead, it is considered to be an indeterminate form, meaning it does not have a definite value.
When we divide a number by a very large number, the result can vary greatly depending on the specific value of the large number. In the case of infinity, there is no specific value, so the result is unknown and therefore considered indeterminate.
No, we cannot assign a value to 1 divided by infinity. As mentioned before, it is an indeterminate form and does not have a specific value. However, in some mathematical contexts, we may use the concept of a limit to approach a value for 1 divided by infinity, but it is not a definitive solution.