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Mathematics 14 Online
OpenStudy (anonymous):

what is infinity+7=?

OpenStudy (anonymous):

infinity

OpenStudy (anonymous):

it is also infinity buddy

OpenStudy (anonymous):

if infinity is a concept and not a number then where does this 7 go?

OpenStudy (turingtest):

deep question...

OpenStudy (anonymous):

@TuringTest can we think of infinity as irrational?

OpenStudy (anonymous):

I mean having irrational property?

OpenStudy (anonymous):

because is not at all a number

OpenStudy (anonymous):

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

OpenStudy (anonymous):

@Recursing yeah after reading it, this question came in my mind

OpenStudy (anonymous):

it's only a symbol to show that man doesn't able to calculate

OpenStudy (anonymous):

1/0

OpenStudy (anonymous):

@furan143 if it's so then why infinity + 7 = infinity?

OpenStudy (anonymous):

according to basic arithmetic axioms a+b = b+ a only if a & b are numbers

OpenStudy (anonymous):

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?

OpenStudy (anonymous):

The concept of infinity has very different proprieties than those of numbers. As you can see.

OpenStudy (anonymous):

but the rooms in hotel can be counted?

OpenStudy (anonymous):

and according to this hotel's example, does it mean the infinite is finite

OpenStudy (anonymous):

I will ask u 1 question

OpenStudy (anonymous):

Every room has a number, but there is an infinite number of rooms

OpenStudy (anonymous):

I'm adding 7 with one number what is the answer I get

OpenStudy (anonymous):

@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

OpenStudy (anonymous):

There is no "last" room

OpenStudy (anonymous):

for answering the above question u need to know what that number is do n't u

OpenStudy (anonymous):

OK so infinity is not a variable

OpenStudy (anonymous):

No, it's a concept.

OpenStudy (anonymous):

OK so can we say that infinity + 7 = 7 + infinity ?

OpenStudy (anonymous):

we are not talking about variables we are talking about something that none in the universe knows

OpenStudy (anonymous):

can we say that it's an unknown number?

OpenStudy (anonymous):

No, it's not a number

OpenStudy (anonymous):

you can

OpenStudy (anonymous):

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

OpenStudy (anonymous):

you are subtracting a number that u don't know

OpenStudy (anonymous):

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?

OpenStudy (anonymous):

infinity is a number that none of us know

OpenStudy (anonymous):

basically if you want to do mathematical operation you want to know the operands

OpenStudy (anonymous):

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.

OpenStudy (anonymous):

@furan143 infinity is not a simbol for "unknown".

OpenStudy (anonymous):

okay I'm accepting that infinity not a number then what is (1/infinity)

OpenStudy (anonymous):

0

OpenStudy (anonymous):

what will i get when i divide one with a concept

OpenStudy (anonymous):

The result can be considered 0, or infinitesimal

OpenStudy (anonymous):

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

OpenStudy (anonymous):

thanks @Recursing

OpenStudy (anonymous):

They're very different from number propreties, keep that in mind

OpenStudy (anonymous):

well 7 got in it

OpenStudy (anonymous):

Yes, but any number would increase if you add 7 to it x+7=x Has no solution in numbers.

OpenStudy (anonymous):

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

OpenStudy (anonymous):

got it

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