...and nature cannot have contradictions
I appreciate the clarity of your argument, but the above statement is obviously false if we consider the description of nature offered by quantum physics.
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...and nature cannot have contradictions
I appreciate the clarity of your argument, but the above statement is obviously false if we consider the description of nature offered by quantum physics.
Nature having no contradictions is axiomatic, so I'm not going to argue over it. You'll simply have to decide for yourself what you wish to believe. But the proposition that "nature has no contradictions" is binary-equivalent to the one that "existence exists."
I very much doubt that quantum physics implies nature has contradictions. I think it does argue that nature is not always resolved to a particular non-contradictory state, with the classic example being Schrödinger's cat: It's not defined by nature whether the cat is alive or dead, but this is not a contradiction, since neither possible collapse is itself a contradiction. The state is simply unresolved.
Nature does not have contradictions, though. I hold this as axiomatic and will not attempt to prove it, but it's still true. If modern quantum physics indicates otherwise, it's either arguing something not quite the same, or it's simply wrong. :-)