Discussion about math, puzzles, games and fun.   Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫  π  -¹ ² ³ °

You are not logged in.

## #1 Re: This is Cool » infinity » 2014-05-16 20:10:13

ShivamS wrote:

Please read my previous post. If you are talking about the "usual" real number system, the are NO "operations with infinity" because "infinity" is not a real number. And there are several different ways to create number systems which include "infinity" as a number. Which are you talking about? They make sense in some number systems equipped with infinity, but not in others.

It is confusing that sometimes there is a need to treat infinity as a number.

Why is this accepted, is infinity here a number or is it not:

## #2 Re: This is Cool » infinity » 2014-05-16 05:42:38

bobbym wrote:

Hi;

this can be written also as

Now, lets assume for a while that infinity is a number, lets say it is

so that

Let's insert this into the above equation and get

which is the same as

Now we have two "values" for a:

this should not surprise us, since they are nothing but what we started with, also

What is interesting is that the equation

is the same as my equation

if b=1
The question remains the same: does this equation mean that the variable a must be equal to infinity?

## #3 Re: This is Cool » infinity » 2014-05-16 00:13:10

but also in the above limit we cannot insert

otherwise we would get

and division by zero is not allowed.

Is there a "legal" way to "arrive at" infinity, if we cannot divide by zero?
I am proposing the equation

## #4 Re: This is Cool » infinity » 2014-05-15 22:17:45

bobbym wrote:

Infinity is not a number.

True.

So infinity can't be directly inserted into equations without making an error.
Wouldn't also

make infinity a number?

## #5 Re: This is Cool » infinity » 2014-05-15 21:17:07

many times it leads to an error if infinity is directly inserted into equations, for example, consider:

if you insert

you will get

so it is somehow "illegal" to treat infinity as a number, and write that

so perhaps also it is "illegal" to think that

or

in my equation

So perhaps there are other solutions instead of a or b or both being infinity.

## #6 This is Cool » infinity » 2014-05-15 17:38:38

sqrt squared
Replies: 15

I have a question. Is this possible: