
This short note explores whether the Axiom of Choice can be understood as structurally analogous to Hume’s Principle within a Neo-Fregean setting. The central suggestion is that both principles rely on a rule-governed pairing relation that permits the formation of a new logical entity: cardinal number in the case of Hume’s Principle, and a choice concept in the case of the Axiom of Choice. An earlier version of this short note was shared privately with researchers active in the relevant philosophical debate; this revised and clarified version is deposited publicly to provide a stable, citable record for scholarly discussion. Although the resulting logical entities are distinct, the note argues that the underlying logical movement may be read as continuous.
Neo-Fregeanism, logic, Frege, abstraction principles, set theory, Hume's Principle, choice principles, philosophy of mathematics, Axiom of Choice
Neo-Fregeanism, logic, Frege, abstraction principles, set theory, Hume's Principle, choice principles, philosophy of mathematics, Axiom of Choice
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