The question
Hi, nice to see you reached this part of the post, the question which will greet you here is:
"Do you think that the polar opposite notions of finite and infinite are themselves tied to something inherent in infinities and non-infinities? Ie are there any real, not dependent on human thought, infinities/non infinities?
This whole question (both the ones in the title and the one just posed) revolves around language. Anything expressed in language will be 'a human notion'; there is no way around that. That's not to say language doesn't describe some reality, but it will always be 'a human notion'. Which then also applies to finity/infinity.
Infinity is a word trying to describe something that escapes human perception. There is no means to ascertain if there actually is something infinite. (But in the end, that's irrelevant. Infinity is a clear concept in mathematics, and there it is very 'real'.) The most we can achieve is that 'infinity' is an approximation of something in reality.