Investigation of the equivalence of the axiom of choice and Zorn's lemma from the viewpoint of the hierarchy of types
Journal of Symbolic Logic 18 (2):125-135 (1953)
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Harvey Friedman (2000). Does Mathematics Need New Axioms? The Bulletin of Symbolic Logic 6 (4):401 - 446.
Vivian Charles Walsh (1967). On the Significance of Choice Sets with Incompatibilities. Philosophy of Science 34 (3):243-250.
G. Mints (1999). Cut-Elimination for Simple Type Theory with an Axiom of Choice. Journal of Symbolic Logic 64 (2):479-485.
Lorenz Halbeisen & Saharon Shelah (2001). Relations Between Some Cardinals in the Absence of the Axiom of Choice. Bulletin of Symbolic Logic 7 (2):237-261.
Mitchell Spector (1988). Ultrapowers Without the Axiom of Choice. Journal of Symbolic Logic 53 (4):1208-1219.
Paul Howard & Jean E. Rubin (1995). The Axiom of Choice for Well-Ordered Families and for Families of Well- Orderable Sets. Journal of Symbolic Logic 60 (4):1115-1117.
G. P. Monro (1983). On Generic Extensions Without the Axiom of Choice. Journal of Symbolic Logic 48 (1):39-52.
J. L. Bell (1997). Zorn's Lemma and Complete Boolean Algebras in Intuitionistic Type Theories. Journal of Symbolic Logic 62 (4):1265-1279.
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