(April 6, 2019 at 10:46 pm)Jehanne Wrote:(April 6, 2019 at 4:33 pm)Smaug Wrote: However, it's still unclear for me what is the principal difference between potential and actual infinity other than latter being, to put it simple, an 'end cap' of a set.
An actual infinity means a set (say, the natural numbers) has a cardinality that is infinite, as opposed to a "potential infinite", which is always finite, even given the fact such "grows" forever.
Isn't it so that if we invoke the term 'cardinality' we imply that infinite sets exist? Saying that a set can be continued forever is basically saying it's infinite, isn't it?
