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  1. Quine on explication and elimination.Martin Gustafsson - 2006 - Canadian Journal of Philosophy 36 (1):57-70.
    Spontaneously, one might want to object that it is essential to ordered pairs that they can contain the same members and yet be different: ≠. Hence, it may be argued, no set-theoretical substitute can fully capture the sense in which ordered pairs are ordered. Quine, however, rejects all such talk of essences and senses. As I will show, this anti-essentialist attitude is intimately related to his view of the ontological import of explication procedures. According to Quine, an explication should help (...)
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  • An axiomatic theory of well-orderings.Oliver Deiser - 2011 - Review of Symbolic Logic 4 (2):186-204.
    We introduce a new simple first-order framework for theories whose objects are well-orderings (lists). A system ALT (axiomatic list theory) is presented and shown to be equiconsistent with ZFC (Zermelo Fraenkel Set Theory with the Axiom of Choice). The theory sheds new light on the power set axiom and on Gs axiom of constructibility. In list theory there are strong arguments favoring Gs axiom, while a bare analogon of the set theoretic power set axiom looks artificial. In fact, there is (...)
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