between nothingness and infinity / eternity (Tao)

Bryan once said during our discussion: we start off with a logical debate, it could be about science or philosophy, and when it comes to something not logical, there must be something wrong in the process.

If something falls into the realm of illogical / supernatural stuff, there is no point in further discussing it with logic. In other words, science ends there.

Sometimes we are faced with a paradox in an equation, and I think most likely it has something to do with super-small (nothingness) and/or super-large (infinity).

For example, X over zero, or X over infinity. The result is: undefined.

So, we have Newton (earth), Relativity (universe, super-large) and Quantum (sub-atomic, super-small). They use the same logic (1 plus 1 is still 2), but apparently, physical or natural or God's law applies differently. Scientists have been trying to unify all theories, so far without success.

Having said that, for Einstein's theories, when approaching the speed of light, apparently mass approaches infinity. No one knows for sure, because we haven't done this experiment to such extreme. Of course, a few years ago Europe did approach this closely enough, namely the Higgs Boson particle. Again, X over zero or infinity is undefined. Hence the possibility of warp and worm hole, the consequence of gaining light speed; and scientists also warned us of creating a black hole. But all this is only theory, hypothesis.

I admit that I am still puzzled by Quantum, regarding the concept of Schrödinger’s cat being both alive and dead at the same time, until being put under observation. I never looked at their equations. Wonder if again it's something to do with X over zero or infinity, and the possible flaw in understanding. I mean, could A=+X and A=-X at the same time (i.e. +X=-X) if X is a positive number? Is it logical?

I also once thought it has something to do with the square root of X, i.e. is it (a) +Y and -Y; or (b) +Y or -Y? If (a) is correct, i.e. "and", then for such an equation the solution can be both + and - at the same time, back to the question of whether it is logical or otherwise regarding Schrödinger’s cat being both alive and dead at the same time.

Perhaps nothingness and infinity still tricks us. In philosophy, nothingness and infinity is still unresolved. So, in equations, X over zero or infinity is undefined, and perhaps, paradox therefore arises.

Interestingly, in Tao, where something grows to its maximum, it comes back again to begin at its minimum (and the dot inside the maximum seems to encompass the minimum, paving the way to the minimum), and it goes on and on forever - like a worm hole where speed has reached its maximum, infinity comes back to the other end of space.