Grounding Megethology on Plural Reference

Studia Logica 103 (4):697-711 (2015)

Authors
Massimiliano Carrara
University of Padua
Abstract
In Mathematics is megethology Lewis reconstructs set theory combining mereology with plural quantification. He introduces megethology, a powerful framework in which one can formulate strong assumptions about the size of the universe of individuals. Within this framework, Lewis develops a structuralist class theory, in which the role of classes is played by individuals. Thus, if mereology and plural quantification are ontologically innocent, as Lewis maintains, he achieves an ontological reduction of classes to individuals. Lewis’work is very attractive. However, the alleged innocence of mereology and plural quantification is highly controversial and has been criticized by several authors. In the present paper we propose a new approach to megethology based on the theory of plural reference developed in To be is to be the object of a possible act of choice. Our approach shows how megethology can be grounded on plural reference without the help of mereology
Keywords Megethology  Plural reference  Plural quantification
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DOI 10.1007/s11225-014-9585-9
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References found in this work BETA

Nominalist Platonism.George Boolos - 1985 - Philosophical Review 94 (3):327-344.
Mathematics is Megethology.David K. Lewis - 1993 - Philosophia Mathematica 1 (1):3-23.
E Pluribus Unum: Plural Logic and Set Theory.John P. Burgess - 2004 - Philosophia Mathematica 12 (3):193-221.
Iteration Again.George Boolos - 1989 - Philosophical Topics 17 (2):5-21.

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Citations of this work BETA

Meghetologia.Massimiliano Carrara & Filippo Mancini - 2020 - Aphex. Portale Italiano di Filosofia Analitica 21 (1):1-49.
The Mereological Foundation of Megethology.Massimiliano Carrara & Enrico Martino - 2016 - Journal of Philosophical Logic 45 (2):227-235.
What is an Ersatz Part?Kristie Miller & Johann Hariman - 2017 - Grazer Philosophische Studien 94 (4):524-551.
Composition and Identities.Manuel Lechthaler - 2017 - Dissertation, University of Otago

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