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Author: Meg Wallace
Publisher: Cambridge University Press
ISBN: 100909209X
Category : Philosophy
Languages : en
Pages : 139
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Book Description
The Odd Universe Argument aims to show that from four intuitive assumptions about parts and wholes, we can conclude a priori that there is an odd number of things in the universe. This Element investigates how this is so and where things might have gone awry. Section 1 gives an overview of general methodology, basic mereology, and plural logic. Section 2 explores questions about the nature of composition and decomposition. Does composition always occur? Never? Sometimes? Is the universe, at rock bottom, just many partless bits (simples)? Or do the parts have parts all the way down (gunk)? Section 3 looks at arguments for and against the thesis that composition is identity, with a healthy bias in its favor. In the wake of this discussion, we reconsider our methods of counting. We conclude with a return to the odd universe argument and suggestions on how best to resist it.
Author: Meg Wallace
Publisher: Cambridge University Press
ISBN: 100909209X
Category : Philosophy
Languages : en
Pages : 139
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Book Description
The Odd Universe Argument aims to show that from four intuitive assumptions about parts and wholes, we can conclude a priori that there is an odd number of things in the universe. This Element investigates how this is so and where things might have gone awry. Section 1 gives an overview of general methodology, basic mereology, and plural logic. Section 2 explores questions about the nature of composition and decomposition. Does composition always occur? Never? Sometimes? Is the universe, at rock bottom, just many partless bits (simples)? Or do the parts have parts all the way down (gunk)? Section 3 looks at arguments for and against the thesis that composition is identity, with a healthy bias in its favor. In the wake of this discussion, we reconsider our methods of counting. We conclude with a return to the odd universe argument and suggestions on how best to resist it.
Author: Verity Harte
Publisher: Oxford University Press on Demand
ISBN: 9780199278442
Category : Philosophy
Languages : en
Pages : 311
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Book Description
What is the relation between a whole and its parts? Is a whole identical to its parts, or is there some other relation of composition? These questions are much discussed in modern philosophy; but Plato's rich discussion of composition has been neglected. Verity Harte provides the first sustained examination of this Platonic discussion and explains its relations to modern debates. She reveals how, in several late works, Plato criticizes the view that a whole is identical to its parts. Shethen goes on to discuss the intriguing alternative conception of wholes he offers in its place. This book is an invaluable resource both for scholars of Plato and for modern metaphysicians. For scholars of Plato, Harte's careful textual analysis provides fresh insights into some of his most difficult works. For modern metaphysicians, she illuminates the contemporary debate by placing it within an historical context.
Author: Friederike Moltmann
Publisher: OUP USA
ISBN: 019509574X
Category : Language Arts & Disciplines
Languages : en
Pages : 269
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Book Description
Moltmann provides a unified account of a broad range of English and cross linguistic data involving expressions of the notions of "part" and "whole". She presents a new theory of part structures in which the notion of an integrated whole plays a fundamental role, and in which the part structure of an entity may vary across different situations, perspectives, and dimensions.
Author: Claudio Calosi
Publisher: Springer
ISBN: 3319053566
Category : Philosophy
Languages : en
Pages : 389
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Book Description
This volume is the first systematic and thorough attempt to investigate the relation and the possible applications of mereology to contemporary science. It gathers contributions from leading scholars in the field and covers a wide range of scientific theories and practices such as physics, mathematics, chemistry, biology, computer science and engineering. Throughout the volume, a variety of foundational issues are investigated both from the formal and the empirical point of view. The first section looks at the topic as it applies to physics. The section addresses questions of persistence and composition within quantum and relativistic physics and concludes by scrutinizing the possibility to capture continuity of motion as described by our best physical theories within gunky space times. The second part tackles mathematics and shows how to provide a foundation for point-free geometry of space switching to fuzzy-logic. The relation between mereological sums and set-theoretic suprema is investigated and issues about different mereological perspectives such as classical and natural Mereology are thoroughly discussed. The third section in the volume looks at natural science. Several questions from biology, medicine and chemistry are investigated. From the perspective of biology, there is an attempt to provide axioms for inferring statements about part hood between two biological entities from statements about their spatial relation. From the perspective of chemistry, it is argued that classical mereological frameworks are not adequate to capture the practices of chemistry in that they consider neither temporal nor modal parameters. The final part introduces computer science and engineering. A new formal mereological framework in which an indeterminate relation of part hood is taken as a primitive notion is constructed and then applied to a wide variety of disciplines from robotics to knowledge engineering. A formal framework for discrete mereotopology and its applications is developed and finally, the importance of mereology for the relatively new science of domain engineering is also discussed.
Author: Christopher J. Austin
Publisher: Taylor & Francis
ISBN: 1000931110
Category : Philosophy
Languages : en
Pages : 261
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Book Description
This volume offers a fresh exploration of the parts–whole relations within a power and among powers. While the metaphysics of powers has been extensively examined in the literature, powers have yet to be studied from the perspective of their mereology. Powers are often assumed to be atomic, and yet what they can do—and what can happen to them—is complex. But if powers are simple, how can they have complex manifestations? Can powers have parts? According to which rules of composition do powers compose into powers? Given the centrality of powers in current scientific as well as philosophical thought, recognizing and understanding the ontological differences between atomic and mereologically complex powers is important, for both philosophy and science. The first part of this book explores how powers divide; the second part, how powers compose. The final part showcases some specific study cases in the domains of quantum mechanics and psychology. Powers, Parts and Wholes will be of interest to professional philosophers and graduate students working in metaphysics, philosophy of science and logic.
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Publisher:
ISBN:
Category :
Languages : en
Pages : 192
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Book Description
Author: Verity Harte
Publisher: Clarendon Press
ISBN: 0191519138
Category : Philosophy
Languages : en
Pages : 322
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Book Description
What is the relation between a whole and its parts? Is a whole identical to its parts, or is there some other relation of composition? These questions are much discussed in modern philosophy; but Plato's rich discussion of composition has been neglected. Verity Harte provides the first sustained examination of this Platonic discussion and explains its relations to modern debates. She reveals how, in several late works, Plato criticizes the view that a whole is identical to its parts. She then goes on to discuss the intriguing alternative conception of wholes he offers in its place. This book is an invaluable resource both for scholars of Plato and for modern metaphysicians. For scholars of Plato, Harte's careful textual analysis provides fresh insights into some of his most difficult works. For modern metaphysicians, she illuminates the contemporary debate by placing it within an historical context.
Author: Thomas M. Ward
Publisher: BRILL
ISBN: 9004278974
Category : History
Languages : en
Pages : 210
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Book Description
In John Duns Scotus on Parts, Wholes, and Hylomorphism, Thomas M. Ward examines Scotus's arguments for his distinctive version of hylomorphism, the view that at least some material objects are composites of matter and form. It considers Scotus's reasons for adopting hylomorphism, and his accounts of how matter and form compose a substance, how extended parts, such as the organs of an organism, compose a substance, and how other sorts of things, such as the four chemical elements (earth, air, fire, and water) and all the things in the world, fail to compose a substance. It highlights the extent to which Scotus draws on his metaphysics of essential order to explain why some things can compose substance and why others cannot. Throughout the book, contemporary versions of hylomorphism are discussed in ways that both illumine Scotus's own views and suggest ways to advance contemporary debates.
Author: The Early Math Collaborative- Erikson Institute
Publisher: Pearson Higher Ed
ISBN: 0133259951
Category : Education
Languages : en
Pages : 209
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Book Description
This is the eBook of the printed book and may not include any media, website access codes, or print supplements that may come packaged with the bound book. Note: This is the bound book only and does not include access to the Enhanced Pearson eText. To order the Enhanced Pearson eText packaged with a bound book, use ISBN 0133548635. In this unique guide, classroom teachers, coaches, curriculum coordinators, college students, and teacher educators get a practical look at the foundational concepts and skills of early mathematics, and see how to implement them in their early childhood classrooms. Big Ideas of Early Mathematics presents the skills educators need to organize for mathematics teaching and learning during the early years. For teachers of children ages three through six, the book provides foundations for further mathematics learning and helps facilitate long-term mathematical understanding. The Enhanced Pearson eText features embedded video. Improve mastery and retention with the Enhanced Pearson eText* The Enhanced Pearson eText provides a rich, interactive learning environment designed to improve student mastery of content. The Enhanced Pearson eText is: Engaging. The new interactive, multimedia learning features were developed by the authors and other subject-matter experts to deepen and enrich the learning experience. Convenient. Enjoy instant online access from your computer or download the Pearson eText App to read on or offline on your iPad® and Android® tablet.* Affordable. Experience the advantages of the Enhanced Pearson eText for 40-65% less than a print bound book. * The Enhanced eText features are only available in the Pearson eText format. They are not available in third-party eTexts or downloads. *The Pearson eText App is available on Google Play and in the App Store. It requires Android OS 3.1-4, a 7” or 10” tablet, or iPad iOS 5.0 or later.
Author: Roberto Casati
Publisher: MIT Press
ISBN: 9780262032667
Category : Mathematics
Languages : en
Pages : 258
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Book Description
Thinking about space is thinking about spatial things. The table is on the carpet; hence the carpet is under the table. The vase is in the box; hence the box is not in the vase. But what does it mean for an object to be somewhere? How are objects tied to the space they occupy? In this book Roberto Casati and Achille C. Varzi address some of the fundamental issues in the philosophy of spatial representation. Their starting point is an analysis of the interplay betwen mereology (the study of part/whole relations), topology (the study of spatial continuity and comapctness) and the theory of spatial location proper. This leads to a unified framework for spatial representation understood quite broadly as a theory of the representation of spatial entities. The framework is then tested against some classical metaphysical questions such as: Are parts essential to their whole? Is spatial co-location a sufficient criterion of identity? What (if anything) distinguishes material objects from events and other spatial entities? The concluding chapters deal with applications to topics as diverse as the logical analysis of movement and the semantics of maps.
