Notes on the Mereology of *Classes

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.

Name thesis:degree_name

Ph.D.

Level thesis:degree_level

Dissertation

Discipline thesis:degree_discipline

Philosophy

Grantor

University of Illinois at Urbana-Champaign

Year dc:date

2015

Author dc:creator

• Finkler, Joshua Phillip

Contributors dc:contributor

• Timothy McCarthy

• Philosophy

Language dc:language

eng

Identifier

(MiAaPQ)AAI9989993

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/87615