mathmetics experts only!!!! please!!!?

Question

can we say that infinity is greater than 0 or 1 or 1000000000??

Answer 1

yes

Answer 2

Positive infinity is greater than any number. It is not considered a number in itself.

Using infinity in normal maths starts creating contradictions

e.g. The number of natural numbers is infinite. Taking this set of numbers away from itself:

Infinity - Infinity = 0

e.g. The number of natural numbers is infinite. The number of odd natural numbers is also infinite. Remove all the odd natural numbers numbers leaving all the even natural numbers

Infinity - Infinity = Infinity

e.g. The number of natural numbers is infinite. The number of natural numbers higher than 1 is infinite

Infinity - Infinity = 1

I would argue against saying that 1/0 is infinity.

1/0 = infinity
1 = (0 * infinity)
Taking 0 * infinity is the same as saying 0 + 0 + 0 + 0 + .... infinite times (like 2 * 5 is the same as 2 + 2 + 2 + 2 + 2). However, adding 0 to itself will never equal anything other than 0, which contradicts the statement that 1 = (0 * infinity)

Taking 1/a = b, as a gets closer to 0, b gets closer to infinity, but that is not the same as 1/0 = infinity

Answer 3

Remeber infinity is not a definite or to use proper terms
it is not a "defined" number. It hold any arbitary value. To understand this, Let x be the largest number possible. Yet, there is always an x+1 which is greater than x. ( x+1>x) So, x is not the largest number. Infinity is a notion of a "very large number" and has very little practical applications outside theory.

Another recent definition for infinity ( recent meaning a few hundred years ago) is that infinity is the reciprocal of 0.
To explain that:
we know that x>=1/x and that as we increase x ,1/x gets smaller and smaller. So when we limit x -->infinity ( a very large number) 1/x will be a very small number....which is taken amost equal to 0.
1/(infinity) = 0
1/0 = infinity

So, in simple terms, infinity is alwats greater than any real number. NB : we say infinity as in +infinity.
-infinity is always smaller then any real number.

hope that helps :)

Answer 4

I'm not an expert but i'm pretty sure that infinity is greater than 0, greater than 1 and greater than 1000000000 its greater than any number so i guess you can say its the greatest!

Answer 5

infinity is a very relative term. for example 1 can be considered as infinity with respect to a very small no, say 0.0000000001. or 1000000000 may be considered infinity with reference to 1. so it depends on which number you're comparing to say if infinity is greater than all those numbers.

Answer 6

Well,my opinion is that they can't be bigger.For example,after the number 1,you can only put an infinity of zeros,to keep his main value.But the infinity,can have after his first number(that can be bigger than 1,which makes it more easily to answer),for example 3,or 4 or even 9,and as we well know,9 is bigger than all that infinity of zeros after 1.

Answer 7

When you say Infinity, you usually mean positive infinity. It's like saying how much is 2+2. You say 4, not positive four. So infinity is positive, and greater than all of those numbers. Negative infinity would be the smallest. (Though infinity is no specific number)

Answer 8

Infinity is not a number, but its a common notation that z
Ana

Answer 9

Infinity is greater than all of those.

Answer 10

Yes, if a set has infinitely many elements then it has more elements then any set with any finite number of elements. So a set that has1000000000000000000000000000000000000000000000000000000000000000000000000000000000 elements is still smaller.

Answer 11

No, The number can be infinite small, meaning going far into the negative territory. So without more info you cannot say that.