This exchange has been interesting. From what I've seen, it has been conceded that humanity currently does not know whether space or time is actually infinite. However, the concept of a complete infinity is logically consistent (if one wants to study advanced mathematics, then he or she needs to understand this), and this information can be obtained via books on set theory, discrete math, or analysis. A key topic in real analysis is establishing that there are no holes in the real number line and that it is a complete infinity, which is a concept referred to as the axiom of completeness (any bounded non-empty subset of real numbers will always have a least upper bound and a greatest lower bound).
Have you considered that it may be the case that humanity is currently not advanced enough to understand an actual infinite? How many of humanity's discoveries would have been lost had we written them off due to them appearing to be nonsensical/logically absurd?
SteveII Wrote:Conclusion: the idea of an actual infinite is logically absurd.
Have you considered that it may be the case that humanity is currently not advanced enough to understand an actual infinite? How many of humanity's discoveries would have been lost had we written them off due to them appearing to be nonsensical/logically absurd?
