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Borek

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This made me wonder - is math real? I don't mean real like a hammer - math is competely abstract, there is no doubt about it. However, is math really a game? Once we have made some basic assumptions and added some definitions, world that emerges is not random. We can discover its properties but statements that are true are already true and statements that are false are already false - even if we don't know them yet. So when we work on some branch of math we are not creating it - we are in fact uncovering construction that was there from the very beginning. It was there even before we have selected axioms and definitions.Maths IS, essentially, games of our own making.

Now, why is math so efficient tool in describing physics phenomena? Could be the reason is similarity - there is a set of axioms (rules, definitions) underlying all physics, and these axioms define all physics - just like some simple sets of axioms and definitions create huge branches of math. I am not aiming at Equation Of All Equations here, One To Rule Them All, One That Will Answer All Questions, 42. I just wonder if the fact, that now and then we hear that someone have realized that some esoteric math theory perfectly describes fine details of observable physiscs is not some sort a sign that these worlds (math & physics) are in a way parallel? Just like in math some statements are false, in physics some things can't happen - for the same reason. They are prohibited by logic. And just like in math starting point (set of axioms and definitions) generates whole world even before we start to think about possible outcome, whole world of physics is generated by some starting point. (Don't ask me what this starting point is - I have no idea).

If the math analogy is OK, looks like our physics has a good starting point, that leads to many emergent properties.

Disclaimer: English is my second langugae - and I am not sure if I wrote exactly what I mean. Hopefully I did.