It is obvious that the statement that asserts consistency of euclidean geometry (in fact its formalized versions due to Hilbert and Tarski) is a $\Pi_1$ sentence in the language of $PA$ (Peano arithmetic). Is this sentence provable in $PA$ ?
2026-03-24 23:46:19.1774395979
Can we prove consistency of Euclidean geometry in Peano arithmetic?
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