The dual Cantor-Bernstein theorem and the partition principle.

Bernhard Banaschewski, Gregory Martin Moore · Notre Dame Journal of Formal Logic · 1990

This paper examines two propositions, the Dual Cantor-Bernstein Theorem and the Partition Principle, with respect to their logical interrelationship and their history.It is shown that the Refined Dual Cantor-Bernstein Theorem is equivalent to the Axiom of Choice.

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