Actual Infinity in Reality?

[GrandizerII]

Since you took the time to kind of reply to my syllogism...

You are incapable of separating the concept of a mathematical infinity with one in real life or a logically possible infinity. That's why you think this question has been answered. I have shown conclusively that the concept of infinity in mathematics is not the same. It was not derived from a logical process. It is assumed for the purpose of further math calculations. Period. End of story. If you use the mathematical concept of infinity as an argument against anything related to infinity with real objects (like Hilbert's Hotel), you are question begging. By one of your previous comments, you seem to think this is okay to do. It is NOT.

I love how when you're incapable of demonstrating that an actual infinity is logically impossible, you charge me with question begging as if I am presuming the logical possibility of an actual infinity to prove an actual infinity. What I'm doing is presuming the logical possibility of actual infinity and see if it leads to a logical contradiction. And since there is no contradiction that has been pointed out thus far, then it makes sense to say that it seems logically possible, and that there is no reason to argue that it's logically impossible. Are you noting the subtle differences here?

For the 40th time, all you have to do is produce an article that talks about the possibility of an actual infinity. This does not mean an article that mentions a multiverse. That is not a discussion on the concept of infinity (the subject of this thread). I am talking about an article that discusses the concept. This should be easy if I am "mindlessly repeating the same shit which has been refuted regardless".

Read any article on Cantor's set theory, and you have your philosophical article right there.

Why do I keep asking for an article? Because, no offense, the nuances of this subject are beyond you. You stumble along with complete confidence that is not warranted by your piss-poor critical thinking, argumentation and discussion skills. I am not usually as blunt, but your cockiness and condescension is getting to me.

Nice projection there, LOL. Weren't you the one, by the way, that mistakenly thought a question-begging argument was an invalid argument? Some critical thinking skills you have there?

I will clarify the obvious:

1' An actual infinite in the physical world consists of real (not abstract) objects.

That depends on whether abstracts are included in your conception of the physical world.

So from Hilbert's Hote we get:
infinity + infinity = infinity
infinity + infinity = infinity/2
infinity - 1 = infinity
infinity / 2 = infinity
infinity - infinity = 3

These are contradictory statements resulting from simple arithmetic operations (from 2). 

You CANNOT use infinite set theory constraints to explain away the contradictions because infinite set theory is not derived from a logical process. It is assumed in mathematics by the Axiom of Infinity. So the defeater you offer is exactly the same as "let's assume there is no contradictions". 

The funny thing is you don't need to be familiar with the nuances of set theory to see how there are no logical contradictions. Just think logically, if not mathematically.

So if you can't handle the mathematics. Let me help you with some simple logic.

The same collection of infinite things subtracted from the exact same collection of things is going to be equal to 0 (empty set/collection). Yes or no?

When you have a collection of infinite number of, say, apples ... and then you add to the collection an infinite number of oranges ... you get an infinite number of both apples and oranges, which now happens to be a different collection from the individual collection of apples and the individual collection of oranges. Yes or no?

Now, if you were to remove the infinite collection of oranges only from the total infinite collection of oranges and apples, you still end up with the infinite collection of apples. Yes or no?

If, instead, you remove ALL the apples and oranges from the total collection, except for 2 apples and 1 orange, then you logically end up with just 3 fruits. Yes or no?

What is finity - finity? What is finity + finity? In terms of numbers, the answer is not clear without context. Does this mean finity is not logically possible?

You really need to make an effort to address what I'm actually saying if you want to have a chance at stumping me. Can you please, for once, address this part directly?

LOL. read it again or ask Poly to clarify. You would get a kudo from those people if I said "white" and you said "black".

Read it again. There was a slight misunderstanding of my position, that's all. A position which, by the way, is Sean Carroll's position as well. And multiple other physicists. The only difference being semantic, in that I use "illusion" when Sean Carroll uses "derived" instead. Either way, causality is not a fundamental aspect of reality.

I really don't think you understood what that brief exchange was about. This is not my failure, but yours.