Alpay Algebra, a monoid-action dynamics with an evaluation order, is proposed as a universal foundation that allegedly recovers category theory, homology, and topos-like logic, but the proofs of these recoveries are informal sketches.
Mac Lane,Mathematics: Form and Function
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Alpay Algebra: A Universal Structural Foundation
Alpay Algebra, a monoid-action dynamics with an evaluation order, is proposed as a universal foundation that allegedly recovers category theory, homology, and topos-like logic, but the proofs of these recoveries are informal sketches.