Jesus as Lord - why is this appealing to so many?

[GrandizerII]

Not just natural numbers, but all integers. And all real numbers as well.

What do you mean by cannot be counted as one thing? I'm not asking you to count anything. It's there, already complete. 

Provide a logical argument against actual infinity existing in reality, if you think there is a logical problem. Saying "married bachelor" is not good enough because we already showed you it's not the same thing.

Hilbert's Hotel:

Imagine a hotel with a finite number of rooms. All the rooms are full and a new guest walks in and wants a room. The desk clerk says no rooms are available.

Now imagine a hotel that has an infinite number of rooms. All the rooms are filled up so an infinite number of guests. A new guest walks up and wants a room. All the clerk has to to do is to move the guest in room #1 to room #2 and the guest from #2 to #3 and so on so your new guest can have a room #1. You can do this infinite number of times to a hotel that was already full.

Now imagine instead the clerk moves the guest from #1 to #2 and from #2 to #4 and from #3 to #6 (each being moved to a room number twice the original). All the odd number rooms become vacant. You can add an infinite number of new guests to a hotel that was full and end up with it half empty. 

How many people would be in the hotel if the guest in #1 checked out?

If everyone in odd number rooms checks out, how many checked out? How many are left?

Now what if all the guest above room number 3 check out. How many checked out? How many are left?

So from the above we get:
infinity + infinity = infinity
infinity + infinity = infinity/2
infinity - 1 = infinity
infinity / 2 = infinity
infinity - infinity = 3

Conclusion: the idea of an actual infinite is logically absurd.

infinity is not a number, lol.

The set of all positive integers is still the same size as the set of all even positive integers.

Also, what's 0/0? Or 6/0?

Is 0 logically absurd as well?

Leave Cantorian set mathematics to those who are qualified to work with it.

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You're not paying attention perhaps.

Here's a YouTube video for you, since technical articles are understandably too much for you.





So he says it's a logical possibility at least, just like a finite universe is a possibility.

Two things. First, he said that if the universe is finite in time and space, all of our calculations work.

He also said it's still a problem nevertheless. 

Second, he said that our best hope for an explanation is an infinite (in time and space) universe. He did not say that is what the theory is. He has no idea what that is but he realizes the consequences that if the universe is not eternal, an explanation is required for it. In other places he has called the universe a brute fact. By definition, if you consider something a brute fact, you have no explanation.

I thought the argument we're trying to make here is that it is a logical possibility. What theory did you want exactly?