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Elaine Pimentel

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Open access Sep 2026

Mathematical Explanations and Axioms as Rules

This paper bridges two distinct traditions – philosophy of mathematics and proof theory – to provide a formal framework for explanatory proofs in mathematics. We focus on explanatory proofs that uncover the grounds of mathematical theorems, and we formalize their structure using a new “axioms-as-rules” approach. Our...

Elaine Pimentel, F. Poggiolesi · 0 citations

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