what is infinity+7=?
infinity
it is also infinity buddy
if infinity is a concept and not a number then where does this 7 go?
deep question...
@TuringTest can we think of infinity as irrational?
I mean having irrational property?
because is not at all a number
To understand better the concept of infinity, I think you shuold take a look at this http://en.wikipedia.org/wiki/Hilbert%27s_paradox_of_the_Grand_Hotel
@Recursing yeah after reading it, this question came in my mind
it's only a symbol to show that man doesn't able to calculate
1/0
@furan143 if it's so then why infinity + 7 = infinity?
according to basic arithmetic axioms a+b = b+ a only if a & b are numbers
If you can understand how one guest can find a room into the "hotel", even if it's fool, than you get that ininity+1=infinity, right?
The concept of infinity has very different proprieties than those of numbers. As you can see.
but the rooms in hotel can be counted?
and according to this hotel's example, does it mean the infinite is finite
I will ask u 1 question
Every room has a number, but there is an infinite number of rooms
I'm adding 7 with one number what is the answer I get
@Recursing if every room has a number then the last room of this infinite series of room must have a number too so that makes it finite
There is no "last" room
for answering the above question u need to know what that number is do n't u
OK so infinity is not a variable
No, it's a concept.
OK so can we say that infinity + 7 = 7 + infinity ?
we are not talking about variables we are talking about something that none in the universe knows
can we say that it's an unknown number?
No, it's not a number
you can
No, it really isn't a number. If you assume that infinity is a number, than if infinity +1 = infinity, by subtracting infinity to both sides, you get that 1 = 0. Infinity is NOT a number
you are subtracting a number that u don't know
if it's not a number then how can we add a number into a non number thing. Like you gave an example of infinite rooms in hotel & then asked to add 7 rooms in that, in that case you added rooms in rooms, similarly if you are adding 7 in infinity then infinity is a number, isn't?
infinity is a number that none of us know
basically if you want to do mathematical operation you want to know the operands
No, it isn't. You can add 7 to infinity even, if infinity is not a number, because there can be 7 more guests in a Hotel that has an infinite number of other guests.
@furan143 infinity is not a simbol for "unknown".
okay I'm accepting that infinity not a number then what is (1/infinity)
0
what will i get when i divide one with a concept
The result can be considered 0, or infinitesimal
so infinity is a concept that has some properties that are similiar to number properties so that we can apply some arithmetic rules on it within some suitable fashion, but most of it's properties are individual & distinguish
thanks @Recursing
They're very different from number propreties, keep that in mind
well 7 got in it
Yes, but any number would increase if you add 7 to it x+7=x Has no solution in numbers.
I am not saying that all number properties we can say that 1to infinity as 1,2,3,4,5,1,5,21,6,7,8,9,......infinity
got it
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