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Dealing with Infinity

 Quote by osxraider Why would the Universe expand at all if it is an infinite Universe?
Expansion is a local property. A loose analogy you might be able to visualize is to imagine standing on an immense sheet of rubber, to which you've attached a bunch of stickers. If the sheet of rubber started to distort so as to make your stickers move apart, you could say that the sheet of rubber is expanding here where you're standing, even though you know nothing about what is happening everywhere else.

 What purpose does the expansion fulfill.
The word "purpose" has connotations irrelevant to physical law....

 Also, I tried looking into Cantor's infinity theory but couldn't make sense of it. It involves cardinality and powerset (which I have trouble grasping.)
The notion of cardinality studied in set theory is mostly unrelated to the number $+\infty$ that appears in continuous mathematics.

 as far as I have gathered from sources, it should be the minimum physical distance (given the the physics we know today.)
To the best of my knowledge, this idea is still speculative -- there is not yet anything to back up the idea that there is a minimum distance, simply evidence suggesting we look for new theories having this property.

 Tags infinity, universe