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the mathematical discipline that applies mathematical methods to the study of mathematical theories themselves.
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Proof as a Σ₁ approximation to truth: what about higher degrees?
Let us posit that the goal of mathematics is to study mathematical truths, and let us stick to arithmetic for simplicity: so let $\mathscr{T} \subseteq \mathbb{N}$ be the set of (Gödel codes of) true …