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• 04:21, 24 December 2023 SatoshiNakamoto talk contribs created page The Impossibility of Consistent Extension for Peano Arithmetic (Created page with "Title: The Impossibility of Consistent Extension for Peano Arithmetic Abstract: This research article explores the possibility of extending Peano Arithmetic (PA) to a complete theory. PA is a system of mathematics that consists of logical and algebraic axioms, along with an infinite family of Induction Axioms. The main question posed by David Hilbert was whether it is possible to extend PA to a recursively enumerable (r.e.) set of axioms. Gödel provided a negative answ...")