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by tromp 344 days ago
only the truth of finitely refutable conjectures...
1 comments

Could any number give you the truth of non-finitely refutable conjectures?
If you had both Omega and the halting probability Omega_1 of a Universal Oracle Turing Machine with Omega as oracle, then it seems you could decide Sigma_2/Pi_2 conjectures. You can alternate bits from both Omegas to make it one number.