quote "Infinity is a concept. It's not a value that can be acted upon in mathematics ".......in my humble opinion as a non scientist, I find this discussion too unrealistic. How can infinity be a concept ? If I sat in a spaceship, and flew for an (obviously impossible for a human ) amount of time in one direction , I would get to the edge of this universe (ignore its expansion), and could continue in that direction forever; so how can it be a concept when its a physical fact. I also read somewhere that a space/distance could be infinitely small; which although I can understand faraway distance to infinity (never ending), it really puzzles me to consider infinity down to its smallest point, which I would think has a such a small figure that its zero, and how can you have less than zero at a point ..... ?
Pretty good. You don't add infinity, so you don't add up to infinity. No matter how large the figure you add, the end result is an enlarged finite and in no way infinite. My conclusion is that the numeric value of infinity is '1', as in infinite Universe (U) (infinite '1', and certainly not infinite '0', '0' being neither finite nor infinite, is horizon constant (('1') ('-1')) the Mirror mirroring Universe unto itself).
Infinitesimal exists only relative to finite (as entity, an infinitesimal as entity can even take the place of a finite in an infinite scheme of things). Remove the local, the foreground relative, the opposed coin of finite, and you get infinite from infinitesimal (the only thing greater than infinitesimal is infinite: The only thing lesser than infinite is infinitesimal). Infinitesimal ceases to exist separate from infinite. What takes its place (as mathematician Georg Cantor logically put it) is 'proportionality'; including, regarding the universes (u) of the Multiverse at large, e = mc-squared (proactive: e = mc-squaring (an expansive universe?)).
The observable universe exists no where else but in light's holography. It is nothing but a hologram. Even in thinking about that universe, you have to divide it up into innumerable time-verses, which if you provide each with space to go with its time will not match up smoothly space-wise, or rather space-time-wise, with it. If real, the reality must be a segmented -- segmenting -- vortex. A universe frozen in time thirteen billion light years from Earth, can't have stayed frozen in time for thirteen billion years. And there is no way its space and time associates with a space and time universe of ten billion light years from Earth, far less a space and time universe one-billion light years from Earth. Change, if only change, doesn't accelerate as fast coming toward Earth as from Earth expanding out to space and time thirteen billion x 6 trillion miles from Earth; a distant space and time you might as well consider to be thirteen billion years in the future regarding Earth. A 'future' road, regarding time travel, any traveler would have to travel to get that far in space from here. To any life there, Earth, here, Earth's whole universe, is in the distant shadow of the BB.
Would either universe at either end, in fact, be one and the same universe as / with the other's universe? Probably not, the entity of uncertainty, exactly the same as the principle of uncertainty, will have taken full hold between the two and the breakdown of relativity between the two universes would be complete. They might as well be an infinite distance apart; and Multiverse-wise, many universe-wise (cells divided and dividing), could actually be an infinite distance apart, whether plane of velocity deep or point of position broad, or both, no traveler could ever know: or know his way home.
The Universe always dividing into itself will always equal '1', my number equating to infinity (open systemic (including, opening system)). And having worked with computers since the days of systems taking up whole warehouse rooms down to today when I have far more than the same bulk capacity in my laptop (more: no network of any kind, no cloud computing, no virtual cyberspace, existed back then), I know how going small can go large indeed. In other words, cosmologically, to go infinitesimal in place in order to go, at once, infinite in extent. An infinity of finites, such as an infinity of finite universes, is, or can be, at once an infinity of infinitesimals. No more than finite recognizes the existence of infinite, does infinite recognize the existence of finite.
You cannot add any number to the principle of growing uncertainty. Growing uncertainty is what a universe traveler would face. In Chaos Theory there is an entity called a "strange attractor of chaos", and the Multiverse is certainly that, big time. As a matter of fact a continuous adding of numbers regarding mathematics unlimitedly, or in anything else unlimitedly, simply plays to nothing but growing uncertainty and growing chaos. Captain Kirk of the spaceship Enterprise would tell you, though, what n terrifically awesome frontier that would be for any frontiersman or woman.... and mathematics be damned! He would put it like Admiral Farragut once put it in a different regard -- "Damn the torpedoes! Full speed ahead!" Infinity, the unlimited, the potential of the unlimited, is precisely what any true frontiersman or woman dreams of and so many have died reaching out for (and will always risk dying for).