If Turing oracles are not physically impossible, then we need an explanation for how physics implements an infinite tower of Turing oracle levels. Short of that, I'm going to believe Turing oracles are impossible.
even if we did that doesn't mean it's contradictory, not to the extent that using it you'll "mostly derive paradox theorems and contradictions".
If you start with something undecidable and build on it, you usually find that your results are even more undecidable (require a higher level of Turing oracle). There's also the AIT angle, which says that a true Turing oracle possesses infinite Kolmogorov complexity, and since Shannon entropy is the expected-value of Kolmogorov complexity, and Shannon entropy is closely related to physical entropy... we have strong reason to think that a Turing oracle violates basic thermodynamics.
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Formatting note: something seems to have deleted a couple of your time units:
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