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The Mereology of Classes (Elements in the Philosophy of Mathematics)

SKU: 9781009096416

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This element explores the mereological foundations of set theory and class theory, examining how composition and parthood relate to mathematical structures. Uzquiano investigates whether classes can be understood through mereological principles and what implications this has for mathematical ontology.

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Description

The Mereology of Classes provides a comprehensive examination of the relationship between mereological principles and class-theoretic foundations in mathematics. Gabriel Uzquiano explores fundamental questions about composition, parthood, and how these concepts apply to mathematical entities like classes and sets.

This work investigates whether classes should be understood mereologically and examines the philosophical implications of adopting such an approach. Uzquiano discusses various mereological systems, their strengths and limitations when applied to mathematical structures, and their relationship to traditional set-theoretic approaches.

The element addresses key issues in mathematical philosophy including the nature of mathematical objects, identity conditions for classes, and the role of mereology in foundational mathematics. It serves as both an introduction to these topics and a detailed technical analysis suitable for philosophers and mathematicians interested in the foundations of their disciplines.

Additional information

Author

Gabriel Uzquiano

Publisher

‏ : ‎ Cambridge University Press

ISBN

9781009096416

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