Deuce, when you are in a hole stop digging.
“Law of non-contradiction” doesn’t exist. It isn’t a law. It is an axiom – it’s real name is the axiom of the excluded middle. Full-stop. End of debate. Nothing more to see. Move along. Read about intuitionistic logic. Read about Polish logic. Read about axiom of excluded middle. Please. Do yourself and the people around yourself a favour and read a little before you feel the urge to pontificate on subjects you clearly and obviously and patently haven’t got the first clue about. You remind me of the donkey in Family Guy who “knows” Kevin Bacon wasn’t in Footloose(the donkey is “sorry but…”) and insists his colleague “looks it up”.
Again, if you honestly believe that physical theories are solely the product of “rational mind” and not experiment driven and are pure logically driven mathematical theories then write up Quantum Field Theory in three dimensions – you don’t even need to do the four that people normally work in. There’s a million dollars in it for you – and if you are under 40, almost certainly a Fields Medal(Ed Witten got one for doing in **2** dimensions, along with being acknowledged as one of the greatest mathematical physicists of our time) and probably a Nobel too. Or you can go for the “easier” route, and take the fact that at least one of General Relativity and the Standard Model is wrong to divine what is “true” – there’s a dead-certain Nobel for that too. When you are thanking the committee, I’ll admit you are right and will be the first to admit you are one of the greatest geniuses of our time. Until then I’ll stick to opinion you are a pompous fool.
