To Infinity and Beyond with the Iterative Conception

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In the previous two articles, we’ve covered why incoherence and unintuitive set self membership led to the search for another method of grounding the Zermelo-Fraenkel axioms of set theory. We discussed how the iterative conception is perhaps a more straightforward way of understanding the universe of sets and how Pairing and the Null Set Axioms […]

More of the Iterative Conception

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By Brandon Mitchell Picking up where we left off in part one, we’ve come to the conclusion that the naïve conception, borne of the idea that the universe of sets can be defined by simply stating for any predicate that there is a set of things which do and a set of things which do […]