If we accept the idea of a dynamic, changing, evolving Universe (Big Bang Theory), must Infinity remain entirely conceptual? If the Universe is changing and evolving, this necessarily implies borders ...
Somebody told me this piece of logic: "If we consider in our thoughts something which is actually infinite, and we take a part from it, the remainder will undoubtedly be less than what it was before. ...
Is infinite regress of logical causation possible? Is infinite regress of logical causation necessary?
For a number of reasons — including perhaps a desire to feel that we have a complete understanding of where we came from, or at least an understanding which is completely sufficient for all of ...
I'm trying to understand the real difference between an Ordinal and a Cardinal, especially in relation with transfinite cardinals. The stuff on Wiki is a bit too complicated. Can anyone make it simple ...
I was wondering if a machine could theoretically count every second and could survive forever, would it actually be counting? Counting is only possible on finite sets so what would this machine be ...
I know we have accepted Cantor's ideas a long time ago and many mathematicians use sets and infinities without ever realizing that thinking about sets and infinities intuitively fails, because there ...
There are two arithmatics of infinity, ordinal & cardinal. I'm going to focus on the cardinal arithmatic as it requires less structure, that is they need less (ie ordinals require the idea of ...
Suppose some ontological theory creates an infinite regress. Take, for example, Platon's concept of ideas, and then there must be some connection between idea and its actualisation, and then this ...
When I was reading Kant's Critique, I got the sense that he'd sort of found a formula for calling something a dimension. Space seems to arise out of an infinity of extension. Time seems to arise ...
In a chat on Mathematics.SE about countability of infinite sets, someone responded that regarding the 'counting', infinite in mathematics does not mean uncountable, but means 'not finite'. Can ...