The axiom of choice
In § 9.4 a principle — the axiom of countable choice — was introduced which differed from the axioms of this book's default theory because it asserted the existence of a set of a particular sort (actually, in this case, a sequence) without supplying a condition that characterizes it uniquely. This chapter investigates some generalizations of the axiom of countable choice that share this feature, and enquires a little further into whether the lack of uniqueness in such specifications should be regarded as troubling.
Keywords: axiom of countable dependent choice, Skolem's paradox, well-ordering principle, axiom of constructibility
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