If somebody wants to argue that as far as is known by human beings, the physical world seems to behave in accordance with mathematics and logic, I'll agree.
I agree with that also. And as far as we know only human beings (and perhaps a few other species) have the ability to speculate. All other things behave strictly in accordance with mathematical and logical precision.
If somebody wants to argue that the physical world must necessarily behave in accordance with mathematics and logic, everywhere and everywhen, I'll say that's typically assumed by physics and cosmology, but we don't really know that it's universally true.
Can you come up with a physical event or function that is non-mathematical? Aristotle proposed that heavier objects fall faster than lighter objects, but was later proven wrong by Galileo,
because he did not take account for all the physical forces (mathematics) into account. If somethig does not follow mathematical laws, it can't be done!
https://www.youtube.com/watch?v=IuGI6pQFZC0
And if somebody wants to insist that physical reality IS mathematics, solidified in some mysterious way into something more tangible, I'll say that's highly speculative Pythagorean metaphysics that gets out far ahead of what any of us actually know.
Pythagoras was on the right track, the triangle is a natural fundamental universal metaphysical construct, but I would prefer Plato who afterward discovered some fundamental metaphysical mathematical constructs (Platonic solids) which are getting very close attention by recent cutting edge physics. CDT (causal dynamical triangulation) proposes a *background independent* solution to the
formation (unfolding) of spacetime itself, using *the apparent fractal nature of spacetime* .
https://en.wikipedia.org/wiki/Causal_dynamical_triangulation
In real life, none of us knows what reality ultimately is. All science can do is describe how the portion of it that we can observe seems to behave. Mathematics has proven extraordinarily useful in enabling us to do that. Of course, none of us really knows what mathematics and logic are either, or what kind of being they have.
Yes we do. They have no real existence as *being* because everything in existence is the product of *function*. Do we need to know what *being* a function is? In metaphysics something does not need to exist as a physical being. OTOH, a *function* is an abstract (but provable) idea of *how* things work. There is a difference in a being (what it is) and a function (how it works).
You can say God is the Original Creator, becasue we don't know anything about gods, but you cannot say God is not mathematical, because we do know that *whatever it is* it must function mathematically or it cannot create.
All of these questions are active subjects of discussion by metaphysicians and by philosophers of mathematics, logic and science. There are countless hypotheses but the final answers aren't in yet. My personal suspicion is that these are things that human beings may never know.
And why not?
According to Tegmark it isn't all that complicated. It is the attachment of intelligence and intent to the mathematics that are cofusing the issue. All function must be mathematical, or they don't work at all, God or no God..
This can be demonstrated and is the basis for *falsification* of a hypothesis. If the maths don't work, the hypothesis is *false*.
In any case, no one knows what God is or what angels and demons are either, but I bet that God is a Word assigned to describe a universal metaphysical mathematical condition and what we call Angels and Demons are the *functions* of these mathematics in human behaviors.
There is need for any of that, especially if we believe these *spiritual beings* are intentional causalities. If we stick with the maths, we'll get there eventually. But God and all that other mystical stuff (miracles, etc) are by definition unknowable and belief in such things are useless in the physical world. Religions may have other, psychological implications, but have nothing to with *how things work in physical reality*.
There can never be Proof of God(s), it is a meaningless term to identify natural phenomena and offer emotional comfort. But even in that respect it has proven to fail on may occasions, and we say "God works in mysterious ways" as if that explains anything. In fact, in many cases it leads to chaos (conflict) instead of peace and tranquility, which in mathematics that would be called a "stable condition".
IMO, it is just another expression of the abstract concept that *everything moves in the direction of greatest satisfaction", which is
mathematical function.