Philosophical Studies

By: A. Meirav

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Hardcover | 31 October 2003

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324 Pages

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24.13 x 16.51 x 2.54

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According to Ariel Meirav, the root of some of our most noteworthy difficulties in the metaphysics of concrete entities has been the traditional tendency to focus on the horizontal dimension of wholes (i.e. relations between the parts of a whole), and to neglect the vertical dimension (i.e. relations between the whole itself and its parts). In Wholes, Sums and Unities, Meirav formulates a critique of widely accepted mereological assumptions, presents a new conception of wholes as Unities', and demonstrates the advantages of this new conception in treating a variety of metaphysical puzzles (such as that of Tibbles the cat). More generally he suggests that conceiving wholes as Unities offers us a new way of understanding the world in non-reductive terms.

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Non-Fiction Philosophy Metaphysics & Ontology Epistemology & The Theory of Knowledge Science Biology, Life Sciences

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Published: 28th October 2010

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Preface	p. vii
Introduction	p. 1
Plato's Challenge	p. 1
Two Approaches to Wholes and Parts	p. 6
Illustration of the Idea of a Three-Tiered Whole	p. 17
The Theoretical Context	p. 30
Outline of the Argument	p. 44
Wholes
Concrete Comprising Entities	p. 51
Preliminaries	p. 51
Ways of Being One	p. 61
Plural Quantification	p. 77
Types of Comprising Entities	p. 81
Collective and Distributive Classes	p. 81
Distributive Classes and Concreteness	p. 85
Collections	p. 92
Theory and Pre-theory of Wholes	p. 99
The Pre-theoretical Conception	p. 99
Preliminaries to a Theoretical Conception	p. 107
Sums
Classical and Neoclassical Mereology	p. 117
Principles of Classical and Neoclassical Mereology	p. 117
Limitations of the Notion of a Classical Sum	p. 122
Flexibility of the Notion of a Neoclassical Sum	p. 130
Traditional Higher-grade Wholes as Sums	p. 141
Organic Wholes and Gestalts	p. 143
Features of Organic Wholes and Gestalts	p. 150
Organic Wholes and Gestalts as Sums	p. 161
Criticism of the Notion of a Neoclassical Sum	p. 167
Conditioned Sums	p. 168
Non-unique Sums	p. 173
Mereologically Varying Sums	p. 181
Sums, Collections and All the Parts	p. 189
Inherent Limitation in the Notion of a Sum	p. 190
Classical Sums as Identical to their Parts	p. 193
Unities
A Theory of Unities	p. 211
Introduction	p. 211
Unities and Collections	p. 215
Principles for a Theory of Unities	p. 229
Proofs of Theorems	p. 247
Further Elaborations and Applications	p. 253
Perspectives on the Theory of Unities	p. 253
Applying a Theory of Unities	p. 267
The Paradox of Tibbles	p. 277
Bibliography	p. 293
Index	p. 303
Table of Contents provided by Ingram. All Rights Reserved.

Philosophical Studies

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Hardcover

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Other Editions and Formats

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