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Is Infinity Real?

Sooner or later computation hardware and artificial intelligence algorithms will inevitably reach the point of enough sophistication that creation of a simulation of enormous proportions, for example the size of entire universe, will be effortless. So to speak. These gods-like engineers of such future simulation will indeed face a decision point regarding which degree of limitation to create for their simulated entities or artificial intelligence units in order for them to never reach the point of finding the proof that their world is in fact nothing more than just a series of electrical or optical currents of one inconceivably powerful futuristic computer.

If created right, there's no doubt that the inner world of all those hypothetical units would seem to be as real to them as our own very reality to us. So, considering the state of obvious, the question arises by itself - if our own reality is such simulation and we are nothing but AI units within some alien quantum computer, what exactly is the limitation?

To me it always has been the infinity. My own limited mind always struggled with understanding what it really meant. Aristotle who buzzed his head with infinity quite a lot concluded that infinity is only potential in nature. We can always add a number to any number to the point of infinity or divide something to infinite parts but in reality, he thought that it was impossible to exceed every definite magnitude for simple reason that if it were possible there would be something bigger than the heavens or something smaller than the atoms (Greek origin: άτομο, which means without volume and uncuttable).

Today we still can't find the proof of bigger or smaller volumes than we can see or understand. If we look up toward the heavens we are pretty sure that we cannot see beyond the Big Bang or 14 billion light years in all directions due to the limitation of light speed. The same goes with understanding the smaller volumes of microcosm for which we think the current boundary is around the scale of 10e-12 Picometres due to the quantum limitation of observable micro space without disturbance by the observer.

All things considered, as proposed by mathematics, infinity might be just the other word for a really, really big, or extremely small, or very old, or too far away. In every way, simply put, infinity might be just beyond our reach. Perhaps if we are really living in the simulation this is our limitation and we are pretty much designed in the realm of simulated physics to never reach it and to never learn what is behind the horizon. Ironically, the ultimate truth could be that there was nothing there. It might be where simulation ends and where alien software developers' backdoor is located. Their own reality could be entirely and unimaginably different.

But what if we are not living in simulation? What if all the laws of physics are not invented by ingenious developer and they are instead real, perfectly natural and not artificial in origin? Would we have a volume larger than heavens or smaller than quarks and strings? Or just maybe these two extremes are somehow connected and twisted in a loop with no need for infinity at all? Perhaps, ultimately, the size could be irrelevant and not a factor in all cosmic equations.
1 +  = ?

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