Existance of Infinity

[Ukranianlys]

Just a simple question that brought upon a mountain of thinking. How can I prove infinite can exist? Rational of course

[jlay]

Just tell someone to start counting, and let you know when they reach the end.

There are a couple of ways to examine the topic. Why are you wanting to prove infinity?

[Ukranianlys]

Oh someone had mentioned how can god exist if infinity can not be proven. I didn't question my faith, I just thought it was an interesting view that I didn't know the answer to

[GreyDeSilvisanctis]

Well, Ukranianlys, obviously this has something to do with Math. I'm not a math major but infinity does exist. We just can't fully explain it because it's very hard to observe it.
Maybe what that person meant is something concerning limits. Take for example, the limit of 1/x as x approaches 0. The answer is DNE or Does Not Exist and this is because if we take the limit from the right approach, we get positive infinity but if we take limit from the left approach, we get negative infinity. The limit does not exist at that point because the two limits do not equal.

~Grey

[1over137]

Just a simple question that brought upon a mountain of thinking. How can I prove infinite can exist? Rational of course

Set of integers is infinite. Proof?

Assume integers are finite and name the last integer N. But N+1 is also integer and therefore the assumption is wrong. Therefore integers are infinite.

[jlay]

Assume integers are finite and name the last integer N. But N+1 is also integer and therefore the assumption is wrong. Therefore integers are infinite.

I'm not a physicist but that sounds flawed. if you ASSUME one is the LAST, then how can you add "1" to the last. By adding one it negates any notion that it is the last of something. Further, it's an assumption, and assumptions don't exist physically to add '1" to.

I wouldn't say God exist infinitely. He exists eternally. God exists transcendent of time. Time is required to count. If you are counting then how could you ever get to the current number, if there are an infinite amount of numbers preceeding the current one?

[1over137]

Assume integers are finite and name the last integer N. But N+1 is also integer and therefore the assumption is wrong. Therefore integers are infinite.

I'm not a physicist but that sounds flawed. if you ASSUME one is the LAST, then how can you add "1" to the last. By adding one it negates any notion that it is the last of something. Further, it's an assumption, and assumptions don't exist physically to add '1" to.

I wouldn't say God exist infinitely. He exists eternally. God exists transcendent of time. Time is required to count. If you are counting then how could you ever get to the current number, if there are an infinite amount of numbers preceeding the current one?

Imagine that you have numbers 1,2,3,4,5. Five is 'last'. But 5 + 1 = 6. So, 5 is really not last. Similarly N is not last in my previous example. I proved 5 is not last. I also proved N is not last.

[jlay]

"Imagine."

Further, we really aren't talking about infinity in the same sense. Time is change. Of course you can imagine a number line going negative one way and positive another. But infinite regress regarding time has huge problems. And so, this doesn't really address the OP.