So why if they are always mathematical, would that not just mean that Math was the 'Designer'?
This in itself is an extremely difficult question we don't have the answer to. Is math a product of the human mind and is therefore created? Or is it "out there" waiting to be discovered. If it is "out there", why does EVERY PHYSICAL action in the Universe follow some physical law? What is the thing that ties the shoe laces together? Saying that there doesn't need to be one is saying that you are willing to play the powerball lottery every day and expect to win it and don't think anything unusual happens if you do. And yet, someone does win the powerball, but only as the expectancy of huge numbers prevail.
I realize I am not answering your question. It is because I don't have an answer. This is all far beyond our current understanding. It is like asking man 100,000 years ago to explain how airplanes fly.
Physical laws are the observed inherent characteristics of a thing, what ever that thing is; space or time or matter.
Everything has its inherent characteristics. If it did not, it would be something else, which has its own inherent characteristics!
That is tautologous. It offers no explanation. Something is mathematical because it is. And if it isn't, it isn't. Not that I don't understand your point. I think that these sorts of arguments say more about the person's own bias than the thing itself. To me, what you are describing is intuitively obviously wrong. And yet, I could easily put myself in your shoes and see the reasoning mistakes that I could be making the exact opposite.
But tautology says nothing. Or it says everything. Take your pick. Strange as it may seem, the goal of all of mathematics is to make things tautologous in
appearance. But it hides a torturous path that it took to get there. Either infinity again, or an ancient GOD with fantastic powers of reasoning.
Surely that doesn't suggest some form of divine designer, but rather inevitable outcomes due to inherent characteristics.
That sides steps the question. Why does EVERYTHING (we know of) have an inherent characteristic to follow physical law? The only explanation is infinity of possibilities. That there are an infinite number of Multiverse, and every possible Universe is "out there". Then, the only Universes where they will
appear designed are ones where physical laws are mathematical, and therefore creation can be traced back to random cause simply by the argument of large numbers. Some Universe won the Multiverse Powerball. These universes will create intelligent life that can ask these questions. Without evidence of the infinite number of them, we will appear special. Hence the possible illusion of a Designer.
Sure, if this is the case, there is no need for a Designer. But infinity in space or time is
JUST as hard to swallow for me as a Designer is, except that even in the Designer case these things lead to infinite regress. It is an impossible question given our current understanding.
None of the (mathematical) answers ever include the need for a Designer(God). For what rational reason would you think answers without requirement for one, is evidence for one.
You are making a mistake that is easy to make. It is not mathematics that says there is a GOD. It is meta-mathematics that suggests it. And then, as Godel and Turing and Wittgenstein before them proved, there is meta-meta-mathematics, and infinite regress again. The difference is we know how to handle mathematical infinity.
I have no idea what to make of physical infinity. Maybe one day. If that day comes, I will be more weighted to the random cause side than I am now. But Quantum Mechanics is most definitely pointing to discreet finite space-time. It is the mathematics itself that needs to be infinite, even in describing finite things. That's the Many Worlds Interpretation and infinity crawls back in the back door. But that could just be ignorance of where we are in our understanding.