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I didn't have time to read over this thread- but, according to what you gave as your understandings of the concept, all three are ways of describing the idea through different aspects -a habit in philosophy, and unnecessary I think. Infinity is a way of describing something that is more vast and expansive than one's present knowledge.
I always think of infinity as being bigger than the biggest thing I can imagine, which is a great way to expand consciousness -it's a hippie thing.
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Yeah, well, you're just that awesome, I guess. It's not like I guessed so anyways. 
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