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https://hdl.handle.net/2142/87615
Description
Title
Notes on the Mereology of *Classes
Author(s)
Finkler, Joshua Phillip
Issue Date
2000
Doctoral Committee Chair(s)
Timothy McCarthy
Department of Study
Philosophy
Discipline
Philosophy
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
Philosophy
Language
eng
Abstract
Next the project develops a mereologized class theory satisfying the following criteria: the project does not take as primitive the operation which carries a member into its singleton, it offers some insight into the ways in which members enter into classes, and it is fruitful in that it allows us to develop a set theory adequate to meet the demands of most normal mathematics. The development avoids the set theoretic paradoxes, it respects our intuition that any thing whatsoever can be a member, and it has available to it a defense of the set theoretic axioms which is no weaker than the typical defenses of these axioms offered by either the iterative or the limitation of size conceptions of sets.
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