Is Infinity Real?

Is infinity real?
Does infinity really exist?Isn't this like asking "Is a kilometre real?" or "Does large really exist?"'Infinity' is a human mental construct to either i) describe a object without limits or ii) represent a mathematical concept.
You cannot physically interact with it.

I think john6zx was 'having a stab' at figuring out what it was granpa was trying to say.
Even the text highlighting is from the wikitalk page and not put in to highlight granpa's point.
I also question the partial quoting from that page that cut off this part:

quote:

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Besides, there is truly no such thing as an infinite number of anything, because no matter how many rooms and guests there are, that number is not infinity. You can't have an infinite number of occupied rooms, even conceptually- the concept simply doesn't allow it. The fact that mathematicians accept this so called paradox seems to make it clear that they really don't fully understand the character of infinity.

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I am having trouble seeing how granpa's response actually relates to the OP's question.
But at a push, I would agree with john6zx's interpretation [guess] of granpa's meaning.What is your understanding of how granpa's post addresses the question: "Is eternity real?"?