Citations of:
Grounding Megethology on Plural Reference
Studia Logica 103 (4):697711 (2015)
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_ Source: _Page Count 28 This paper develops four proposals for explicating the notion of an ersatz part. It then evaluates each proposal with respect to a number of jobs for which ersatz parts are posited. We argue that each of the four notions of ersatz parthood do better with respect to some jobs, and worse with respect to others. Thus, we think, it’s horses for courses: which notion of ersatz part one chooses will be sensitive to which metaphysical project (...) 

Megethology is the secondorder theory of the partwhole relation developed by David Lewis, and it is obtained by combining plural quantification with classical extensional mereology. It can express some hypotheses about the size of the domain such as that there are inaccessibly many atoms. This will prove enough to get the orthodox set theory. Then, megethology is a possible foundation for mathematics. This paper is an introduction to megethology. 

In Mathematics is megethology. Philosophia Mathematica, 1, 3–23) David K. Lewis proposes a structuralist reconstruction of classical set theory based on mereology. In order to formulate suitable hypotheses about the size of the universe of individuals without the help of settheoretical notions, he uses the device of Boolos’ plural quantification for treating second order logic without commitment to settheoretical entities. In this paper we show how, assuming the existence of a pairing function on atoms, as the unique assumption non expressed (...) 