Yahoo Answers: Answers and Comments for What's infinity minus infinity? [Mathematics]
Copyright © Yahoo! Inc. All rights reserved.
https://answers.yahoo.com/question/index?qid=20121221185635AA7NI7f
From Anonymous
enUS
Fri, 21 Dec 2012 18:56:35 +0000
3
Yahoo Answers: Answers and Comments for What's infinity minus infinity? [Mathematics]
292
38
https://answers.yahoo.com/question/index?qid=20121221185635AA7NI7f
https://s.yimg.com/zz/combo?images/emaillogous.png

From Anonymous: At first, you may think that infinity subtract...
https://answers.yahoo.com/question/index?qid=20121221185635AA7NI7f
https://answers.yahoo.com/question/index?qid=20121221185635AA7NI7f
Fri, 21 Dec 2012 18:58:37 +0000
At first, you may think that infinity subtracted from infinity is equal to zero. After all, any number subtracted by itself is equal to zero, however infinity is not a real (rational) number. I am going to prove what infinity minus infinity really equals, and I think you will be surprised by the answer.
First, I am going to define this axiom (assumption) that infinity subtracted from infinity is equal to zero:
∞  ∞ = 0
Next, I am going to add the number one to both sides of the equation.
∞  ∞ + 1 = 0 + 1
Since ∞ + 1 = ∞ and 0 + 1 = 1, then we are going to simplify both parts of the equation:
∞  ∞ = 1
Woops! It is impossible for infinity subtracted from infinity to be equal to one and zero. Using this type of math, we can get infinity minus infinity to equal any real number. Therefore, infinity subtracted from infinity is undefined.

From robert: The answer is INDETERMINATE, which is what Ash...
https://answers.yahoo.com/question/index?qid=20121221185635AA7NI7f
https://answers.yahoo.com/question/index?qid=20121221185635AA7NI7f
Thu, 17 Jul 2014 08:15:47 +0000
The answer is INDETERMINATE, which is what Ashley said. All the other answers are wrong. indeterminate means it is equal to everything. This is NOT the same thing as UNDEFINED, which means there is no solution.
0/0, ∞/∞, 0 × ∞, 0^0, 1∞ and ∞^0 are also indeterminate.

From Ashley Manchee: It's considered an indeterminate form. Jus...
https://answers.yahoo.com/question/index?qid=20121221185635AA7NI7f
https://answers.yahoo.com/question/index?qid=20121221185635AA7NI7f
Fri, 21 Dec 2012 18:59:32 +0000
It's considered an indeterminate form. Just like infinity divided by infinity is indeterminate.
Addition and multiplication keep it infinity but their opposites are impossible to solve. Because exactly what you saidthe different sizes. There's no way to know which one is "bigger".

From Joan: If you are working with limits, it depends on ...
https://answers.yahoo.com/question/index?qid=20121221185635AA7NI7f
https://answers.yahoo.com/question/index?qid=20121221185635AA7NI7f
Sun, 13 Mar 2016 18:13:50 +0000
If you are working with limits, it depends on the expression. lim (n>4) 1/(x4)  1/(x4) = 0, for instance, but lim (n>1) 2/(x1)1/(x1) = infinity. Note that an infinite set has the same number of elements as a part of itself. So therefore the infinity of all positive integers minus the infinity of all positive integers greater than 10 is a 10element set, but the infinity of all integers minus the infinity of all odd integers is infinite: the set of all even integers. In Conway's surreal numbers, w  w = 0, where w is omega, the first transfinite number after the natural numbers. So the answer can be 0, but it can be any other number, or even infinity.

From Anonymous: Infinity is a trickier concept than you imagin...
https://answers.yahoo.com/question/index?qid=20121221185635AA7NI7f
https://answers.yahoo.com/question/index?qid=20121221185635AA7NI7f
Fri, 21 Dec 2012 19:33:26 +0000
Infinity is a trickier concept than you imagine.
First, infinity  infinity doesn't make sense since infinity is not a number. It's like asking what's apple  orange? Subtraction is defined for finite number, not for infinity or fruity.
Second, your statement about decimals and whole numbers isn't quite right.
If you look at ALL decimals, including infinite, nonrepeating ones, that is correct. But if you only look at finite ones, then it is incorrect.
The constructs you are describing here are known as transfinite numbers, and there is a body of mathematics surrounding them. The smallest transfinite number has the name alephnull. That would be a Hebrew letter with a 0 subscript, but I don't know how to type that. This is called "countably infinite," because it applies to the cardinality of the counting numbers. "Cardinality" means the number of elements of a set. The next largest (probablyit's really an unresolved question) is aleph 1, the cardinality of the real numbers (or the real numbers in the unit interval). These are uncountable. There are more real numbers than whole numbers.
Note that there are as many positive integers as there are integers, because we can put them into a one to one correspondence:
0 to 1
1 to 2
1 to 3
2 to 4
2 to 5
n > 0 to 2n
n < 0 to 2n + 1
etc.

From wirehawkboston: See: http://www.philforhumanity.com/Infinity_M...
https://answers.yahoo.com/question/index?qid=20121221185635AA7NI7f
https://answers.yahoo.com/question/index?qid=20121221185635AA7NI7f
Fri, 21 Dec 2012 19:12:17 +0000
See: http://www.philforhumanity.com/Infinity_Minus_Infinity.html

From Ben: ∞∞=∞
we can't be sure which number the...
https://answers.yahoo.com/question/index?qid=20121221185635AA7NI7f
https://answers.yahoo.com/question/index?qid=20121221185635AA7NI7f
Fri, 21 Dec 2012 19:03:24 +0000
∞∞=∞
we can't be sure which number the idea of infinity is and infinity can't be claimed as the same as another infinity therefore it is still infinity or indeterminate depending on the mathematician you ask.
1 Comment: if there are infinite numbers, you can't say there are infinite more decimals because if non decimal numbers never end in progressive counting, how could there ever be more of some thing than that? there are infinite decimals and non decimal numbers but it is impossible to say that one of them has more than the other

From Bruh: you cant solve it
https://answers.yahoo.com/question/index?qid=20121221185635AA7NI7f
https://answers.yahoo.com/question/index?qid=20121221185635AA7NI7f
Fri, 21 Dec 2012 18:57:23 +0000
you cant solve it

From Anonymous: Then it's to infinity... and beyond!
https://answers.yahoo.com/question/index?qid=20121221185635AA7NI7f
https://answers.yahoo.com/question/index?qid=20121221185635AA7NI7f
Fri, 21 Dec 2012 18:57:13 +0000
Then it's to infinity... and beyond!

From Rajshyam: I referred to upanishad (Indian Vedic philosop...
https://answers.yahoo.com/question/index?qid=20121221185635AA7NI7f
https://answers.yahoo.com/question/index?qid=20121221185635AA7NI7f
Thu, 12 Dec 2013 05:13:53 +0000
I referred to upanishad (Indian Vedic philosophy) and found that "if you remove infinity from infinity, it remains still the same. ie no change.

From Rebecca: Since infinity is not defined as a positive nu...
https://answers.yahoo.com/question/index?qid=20121221185635AA7NI7f
https://answers.yahoo.com/question/index?qid=20121221185635AA7NI7f
Fri, 21 Dec 2012 19:00:25 +0000
Since infinity is not defined as a positive number, my answer would be infinity. but you could argue it is zero since we are taking of infinity as a number?

From Christoff: it equals zero.
https://answers.yahoo.com/question/index?qid=20121221185635AA7NI7f
https://answers.yahoo.com/question/index?qid=20121221185635AA7NI7f
Fri, 21 Dec 2012 19:04:35 +0000
it equals zero.

From Suzanne D: Any number minus itself is zero.
https://answers.yahoo.com/question/index?qid=20121221185635AA7NI7f
https://answers.yahoo.com/question/index?qid=20121221185635AA7NI7f
Fri, 21 Dec 2012 18:57:47 +0000
Any number minus itself is zero.