Maximal Principles are Equivalent to Axiom of Choice

Theorem

The Maximal Principles are equivalent to the Axiom of Choice.


Proof


This theorem requires a proof.
In particular: Establish this for each separate one, as and when I reach them in S&F
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Sources

  • 2010: Raymond M. Smullyan and Melvin Fitting: Set Theory and the Continuum Problem (revised ed.) ... (previous) ... (next): Chapter $4$: Superinduction, Well Ordering and Choice: Part $\text {II}$ -- Maximal principles: $\S 5$ Maximal principles
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