Actual Infinity in Reality?

[SteveII]

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Since (2) is of the class of axioms that are not self-evident, they are assumptions on which further mathematical equations can be developed (useful in calculus for example). To be clear, this axiom is not reasoned into--it is just assumed as a foundation for the subset of infinite set theory in mathematics. See this earlier post. 

This is CLEARLY a question-begging argument and therefore invalid.

That, or you still haven't grasped (or maybe you don't want to grasp) the exact argument we're making. We're not arguing that infinity is logically possible, therefore it is. We're arguing that you haven't provided any good reductio ad absurdum arguments to disprove the logic of actual infinity. You've failed with all the analogies and paradoxes you've posted about thus far.

And even if it was a question-begging argument, which it isn't, it would still be a valid argument anyway. Circular yes, invalid no.

And about the B-theory of time, William Lane Craig himself said the KCA is predicated on the A-theory of time and that if the B-theory of time is true, then the argument is useless. Well, we know which theory of time is backed by the science, and it's not the A-theory of time.

This is getting silly--try to keep up. 

First, there is no "logic of actual infinity" for me to assail. There is no non-question-begging argument for it. 

Second, you can't answer Hilbert's Hotel without invoking set theory. I have not yet been supplied a reason why we have to invoke a mathematical assumption used only in mathematics to discuss rooms and guests. We wouldn't if there were 100, 1000 or even 10^10 rooms/guests. Poly has tried that tack that set theory is necessary for basic math operations. This is utterly ridiculous and I will point that out shortly. 

What makes you think I am arguing KCA? Stop--I am not going to respond because that is not the topic here. 

I see you have dropped your infinite causes is possible because there are no causes argument--good for you! It was a lousy argument.