The Mereology of Classes

This Element is a systematic study of the question of whether classes are composed of further parts. Mereology is the theory of the relation of part to whole, and we will ask how that relation applies to classes. One reason the issue has received attention in the literature is the hope that a clear picture of the mereology of classes may provide further insights into the foundations of set theory. We will consider two main perspectives on the mereology of classes on which classes are indeed composed of further parts. They, however, disagree as to the identity of those parts. Each perspective admits more than one implementation, and one of the purposes of this work is to explain what is at stake with each choice.

List of contents

1. Introduction; 2. The mereology of classes; 3. The framework; 4. The main thesis; 5. Hierarchical composition; 6. Conclusion; References.

Summary

Mereology is the theory of the relation of part to whole, and we will ask how that relation applies to classes. This Element considers two main perspectives on the mereology of classes on which classes are indeed composed of further parts. One of the purposes of this work is to explain what is at stake with each choice.

Product details

• Authors: Gabriel Uzquiano, Uzquiano Gabriel
• Publisher: Cambridge Academic
• Languages: English
• Product format: Paperback / Softback
• Released: 06.06.2024
• EAN: 9781009096416
• ISBN: 978-1-00-909641-6
• Dimensions: 152 mm x 229 mm x 4 mm
• Weight: 130 g
• Illustrations: Worked examples or Exercises
• Series: Elements in the Philosophy of Mathematics
• Subjects: Non-fiction book > Philosophy, religion > Philosophy: general, reference works; PHILOSOPHY / General, Philosophy, Philosophy of Mathematics, Set theory