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Book Mereology and the Sciences

Download or read book Mereology and the Sciences written by Claudio Calosi and published by Springer. This book was released on 2014-06-02 with total page 389 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Book Mereology

    Book Details:
  • Author : A. J. Cotnoir
  • Publisher : Oxford University Press
  • Release : 2021-07-08
  • ISBN : 0198749007
  • Pages : 422 pages

Download or read book Mereology written by A. J. Cotnoir and published by Oxford University Press. This book was released on 2021-07-08 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: Is a whole something more than the sum of its parts? Are there things composed of the same parts? If you divide an object into parts, and divide those parts into smaller parts, will this process ever come to an end? Can something lose parts or gain new ones without ceasing to be the thing it is? Does any multitude of things (including disparate things such as you, this book, and the tail of a cat) compose a whole of some sort? Questions such as these have occupied us for at least as long as philosophy has existed. They define the field that has come to be known as mereology-the study of all relations of part to whole and of part to part within a whole-and have deep and far-reaching ramifications in metaphysics as well as in logic, the foundations of mathematics, the philosophy of language, the philosophy of science, and beyond. In Mereology, A. J. Cotnoir and Achille C. Varzi have compiled decades of advanced research into a comprehensive, up-to-date, and formally rigorous picture. The early chapters cover the more classical aspects of mereology; the rest of the book deals with variants and extensions. Whether you are an established professional philosopher, an interested student, or a newcomer, inside you will find all the tools you need to join this ever-evolving field of inquiry and theorize about all things mereological.

Book Mereology and Location

    Book Details:
  • Author : Shieva Kleinschmidt
  • Publisher : Oxford University Press, USA
  • Release : 2014
  • ISBN : 0199593825
  • Pages : 290 pages

Download or read book Mereology and Location written by Shieva Kleinschmidt and published by Oxford University Press, USA. This book was released on 2014 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: A team of leading philosophers presents original work on theories of parthood and of location. Topics covered include how we ought to axiomatise our mereology, whether we can reduce mereological relations to identity or to locative relations, whether Mereological Essentialism is true, different ways in which entities persist through space, time, spacetime, and even hypertime, conflicting intuitions we have about space, and what mereology and propositions can tell us about one another. The breadth and accessibility of the papers make this volume an excellent introduction for those not yet working on these topics. Further, the papers contain important contributions to these central areas of metaphysics, and thus are essential reading for anyone working in the field.

Book Mereology  A Philosophical Introduction

Download or read book Mereology A Philosophical Introduction written by Giorgio Lando and published by Bloomsbury Publishing. This book was released on 2017-06-29 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: Parthood and composition are everywhere. The leg of a table is part of the table, the word "Christmas" is part of the sentence "I wish you a merry Christmas", the 13th century is part of the Middle Ages. The Netherlands, Belgium, and Luxembourg compose Benelux, the body of a deer is composed of a huge number of cells, the Middle Ages are composed of the Early Middle Ages, High Middle Ages, and Late Middle Ages. Is there really a general theory covering every instance of parthood and composition? Is classical mereology this general theory? Are its seemingly counter-intuitive features serious defects? Mereology: A Philosophical Introduction addresses the multifaceted and lively philosophical debates surrounding these questions, and defends the idea that classical mereology is indeed the general and exhaustive theory of parthood and composition in the domain of concrete entities. Several examples of parthood and composition, involving entities of different kinds, are scrutinised in depth. Incidentally, mereology is shown to interact in a surprising way with metaontology. Presenting a well-organized and comprehensive discussion of parthood and related notions, Mereology: A Philosophical Introduction contributes to a better understanding of a subject central to contemporary metaphysics.

Book Mereology

    Book Details:
  • Author : A. J. Cotnoir
  • Publisher : Oxford University Press
  • Release : 2021-07-22
  • ISBN : 0191065838
  • Pages : 400 pages

Download or read book Mereology written by A. J. Cotnoir and published by Oxford University Press. This book was released on 2021-07-22 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: Is a whole something more than the sum of its parts? Are there things composed of the same parts? If you divide an object into parts, and divide those parts into smaller parts, will this process ever come to an end? Can something lose parts or gain new ones without ceasing to be the thing it is? Does any multitude of things (including disparate things such as you, this book, and the tail of a cat) compose a whole of some sort? Questions such as these have occupied us for at least as long as philosophy has existed. They define the field that has come to be known as mereology-the study of all relations of part to whole and of part to part within a whole-and have deep and far-reaching ramifications in metaphysics as well as in logic, the foundations of mathematics, the philosophy of language, the philosophy of science, and beyond. In Mereology, A. J. Cotnoir and Achille C. Varzi have compiled decades of advanced research into a comprehensive, up-to-date, and formally rigorous picture. The early chapters cover the more classical aspects of mereology; the rest of the book deals with variants and extensions. Whether you are an established professional philosopher, an interested student, or a newcomer, inside you will find all the tools you need to join this ever-evolving field of inquiry and theorize about all things mereological.

Book Hylomorphism and Mereology

Download or read book Hylomorphism and Mereology written by Gyula Klima and published by Cambridge Scholars Publishing. This book was released on 2019-01-22 with total page 119 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mereology is the metaphysical theory of parts and wholes, including their conditions of identity and persistence through change. Hylomorphism is the metaphysical doctrine according to which all natural substances, including living organisms, consist of matter and form as their essential parts, where the substantial form of living organisms is identified as their soul. The theories date to Plato and Aristotle and figure prominently in the history of philosophy up until the seventeenth century, where their influence wanes relative to a reductive materialism that culminates with deflationary accounts of objects and persons, where mere conglomerates constitute things and we are left to account for mental phenomena in terms of the powers of physical materials. In view of such difficulties, there is a renewed interest in hylomorphism, as its forms structure matter and can account for natural kinds, with their various capacities and powers. This volume presents medieval theories of hylomorphism and mereology, articulating the conceptual framework in which they developed and with an eye on their relevance today.

Book Leibniz and the Structure of Sciences

Download or read book Leibniz and the Structure of Sciences written by Vincenzo De Risi and published by Springer Nature. This book was released on 2020-01-01 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book offers a collection of essays on various aspects of Leibniz’s scientific thought, written by historians of science and world-leading experts on Leibniz. The essays deal with a vast array of topics on the exact sciences: Leibniz’s logic, mereology, the notion of infinity and cardinality, the foundations of geometry, the theory of curves and differential geometry, and finally dynamics and general epistemology. Several chapters attempt a reading of Leibniz’s scientific works through modern mathematical tools, and compare Leibniz’s results in these fields with 19th- and 20th-Century conceptions of them. All of them have special care in framing Leibniz’s work in historical context, and sometimes offer wider historical perspectives that go much beyond Leibniz’s researches. A special emphasis is given to effective mathematical practice rather than purely epistemological thought. The book is addressed to all scholars of the exact sciences who have an interest in historical research and Leibniz in particular, and may be useful to historians of mathematics, physics, and epistemology, mathematicians with historical interests, and philosophers of science at large.

Book Logical Semiotics and Mereology

Download or read book Logical Semiotics and Mereology written by Richard M. Martin and published by John Benjamins Publishing. This book was released on 1992 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: The papers in this volume are concerned with a variety of vitally important topics in philosophical logic, the philosophy of language, the philosophy of mathematics, the philosophy of science, and in the application of modern logic to wider philosophical problems. All of them make fundamental use, in one way or another, of logical semiotics, the modern trivium of systematic syntax, semantics, and pragmatics, and some of them, of mereology, the general theory of parts and whole. The book includes 20 articles, dealing with such subjects as 'Logical semiotics and logistic grammar', 'The semiotics of mathematical practice', 'Husserlian parts and wholes', 'Compound individuals and the languages of science', and discusses work of Geach, Lesniewski, Carnap, Peirce, and Quine.

Book Handbook of mereology

Download or read book Handbook of mereology written by Hans Burkhardt and published by . This book was released on 2007 with total page 629 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present volume is the first comprehensive reference work for research on part-whole relations--or better ... a substantive part of such a project. The guiding idea, developed by Burkhardt and Seibt more than a decade ago, was to offer an inclusive presentation of contemporary research on part-whole relations that would draw out systematic, historical, and interdisciplinary trajectories, show the subject's fecundity, and inspire future explorations. In particular, the editors wants to impress that mereology is much more than the study of axiomatized reasoning systems. The relationship between part and whole is one of the most basic schemata of cognitive organization; it is not only a phenomenon at the level of language processing and propositional thought, but also at the level of sensory input processing, especially visual and auditory. In all research disciplines, part-whole relations organize all three core components of research: data domains, methods, and theories. In short, part-whole relations play a fundamental role in how we perceive and interact with nature, how we speak and think about the world and ourselves, as societies and as individuals.--From publisher.

Book Approximate Reasoning by Parts

Download or read book Approximate Reasoning by Parts written by Lech Polkowski and published by Springer Science & Business Media. This book was released on 2011-08-27 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: The monograph offers a view on Rough Mereology, a tool for reasoning under uncertainty, which goes back to Mereology, formulated in terms of parts by Lesniewski, and borrows from Fuzzy Set Theory and Rough Set Theory ideas of the containment to a degree. The result is a theory based on the notion of a part to a degree. One can invoke here a formula Rough: Rough Mereology : Mereology = Fuzzy Set Theory : Set Theory. As with Mereology, Rough Mereology finds important applications in problems of Spatial Reasoning, illustrated in this monograph with examples from Behavioral Robotics. Due to its involvement with concepts, Rough Mereology offers new approaches to Granular Computing, Classifier and Decision Synthesis, Logics for Information Systems, and are--formulation of well--known ideas of Neural Networks and Many Agent Systems. All these approaches are discussed in this monograph. To make the exposition self--contained, underlying notions of Set Theory, Topology, and Deductive and Reductive Reasoning with emphasis on Rough and Fuzzy Set Theories along with a thorough exposition of Mereology both in Lesniewski and Whitehead--Leonard--Goodman--Clarke versions are discussed at length. It is hoped that the monograph offers researchers in various areas of Artificial Intelligence a new tool to deal with analysis of relations among concepts.

Book Substance and the Fundamentality of the Familiar

Download or read book Substance and the Fundamentality of the Familiar written by Ross D. Inman and published by Routledge. This book was released on 2017-12-14 with total page 447 pages. Available in PDF, EPUB and Kindle. Book excerpt: Substance and the Fundamentality of the Familiar explicates and defends a novel neo-Aristotelian account of the structure of material objects. While there have been numerous treatments of properties, laws, causation, and modality in the neo-Aristotelian metaphysics literature, this book is one of the first full-length treatments of wholes and their parts. Another aim of the book is to further develop the newly revived area concerning the question of fundamental mereology, the question of whether wholes are metaphysically prior to their parts or vice versa. Inman develops a fundamental mereology with a grounding-based conception of the structure and unity of substances at its core, what he calls substantial priority, one that distinctively allows for the fundamentality of ordinary, medium-sized composite objects. He offers both empirical and philosophical considerations against the view that the parts of every composite object are metaphysically prior, in particular the view that ascribes ontological pride of place to the smallest microphysical parts of composite objects, which currently dominates debates in metaphysics, philosophy of science, and philosophy of mind. Ultimately, he demonstrates that substantial priority is well-motivated in virtue of its offering a unified solution to a host of metaphysical problems involving material objects.

Book Scientific Metaphysics

    Book Details:
  • Author : Don Ross
  • Publisher : Oxford University Press, USA
  • Release : 2013-01-17
  • ISBN : 0199696497
  • Pages : 254 pages

Download or read book Scientific Metaphysics written by Don Ross and published by Oxford University Press, USA. This book was released on 2013-01-17 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: Original essays by leading philosophers of science explore the question of whether metaphysics can and should be naturalised - conducted as part of natural science. They engage with a range of approaches and disciplines to argue that if metaphysics is to be capable of identifying objective truths, it must be continuous with and inspired by science.

Book Powers  Parts and Wholes

    Book Details:
  • Author : Christopher J. Austin
  • Publisher : Taylor & Francis
  • Release : 2023-08-25
  • ISBN : 1000931145
  • Pages : 272 pages

Download or read book Powers Parts and Wholes written by Christopher J. Austin and published by Taylor & Francis. This book was released on 2023-08-25 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Book A Companion to Spinoza

    Book Details:
  • Author : Yitzhak Y. Melamed
  • Publisher : John Wiley & Sons
  • Release : 2021-07-06
  • ISBN : 1119538645
  • Pages : 44 pages

Download or read book A Companion to Spinoza written by Yitzhak Y. Melamed and published by John Wiley & Sons. This book was released on 2021-07-06 with total page 44 pages. Available in PDF, EPUB and Kindle. Book excerpt: An unparalleled collection of original essays on Benedict de Spinoza's contributions to philosophy and his enduring legacy A Companion to Spinoza presents a panoramic view of contemporary Spinoza studies in Europe and across the Anglo-American world. Designed to stimulate fresh dialogue between the analytic and continental traditions in philosophy, this extraordinary volume brings together 53 original essays that explore Spinoza's contributions to Western philosophy and intellectual history. A diverse team of established and emerging international scholars discuss new themes and classic topics to provide a uniquely comprehensive picture of one of the most influential metaphysicians of all time. Rather than simply summarizing the body of existing scholarship, the Companion develops new ideas, examines cutting-edge scholarship, and suggests directions for future research. The text is structured around six thematically-organized sections, exploring Spinoza's life and background, his contributions to metaphysics and natural philosophy, his epistemology, politics, ethics, and aesthetics, the reception of Spinoza in the work of philosophers such as Kant, Schelling, Schopenhauer, and Hegel, and more. This unparalleled research collection combines a timely overview of the current state of research with deep coverage of Spinoza's philosophy, legacy, and influence. Part of the celebrated Blackwell Companions to Philosophy series, A Companion to Spinoza is an ideal text for advanced courses in modern philosophy, intellectual history, and the history of metaphysics, and an indispensable reference for researchers and scholars in Spinoza studies.

Book Macroscopic Metaphysics

Download or read book Macroscopic Metaphysics written by Paul Needham and published by Springer. This book was released on 2018-01-08 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is about our ordinary concept of matter in the form of enduring continuants and the processes in which they are involved in the macroscopic realm. It emphasises what science rather than philosophical intuition tells us about the world, and chemistry rather than the physics that is more usually encountered in philosophical discussions. The central chapters dealing with the nature of matter pursue key steps in the historical development of scientific conceptions of chemical substance. Like many contemporary discussions of material objects, it relies heavily on mereology. The classical principles are applied to the mereological structure of regions of space, intervals of time, processes and quantities of matter. Quantities of matter, which don’t gain or lose parts over time, are distinguished from individuals, which are typically constituted of different quantities of matter at different times. The proper treatment of the temporal aspect of the features of material objects is a central issue in this book, which is addressed by investigating the conditions governing the application of predicates relating time and other entities. Of particular interest here are relations between quantities of matter and times expressing substance kind, phase and mixture. Modal aspects of these features are taken up in the final chapter.

Book Parts and Places

    Book Details:
  • Author : Roberto Casati
  • Publisher : MIT Press
  • Release : 1999
  • ISBN : 9780262032667
  • Pages : 258 pages

Download or read book Parts and Places written by Roberto Casati and published by MIT Press. This book was released on 1999 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Book Composition as Identity

Download or read book Composition as Identity written by A. J. Cotnoir and published by . This book was released on 2014 with total page 271 pages. Available in PDF, EPUB and Kindle. Book excerpt: Composition is the relation between a whole and its parts--the parts are said to compose the whole; the whole is composed of the parts. But is a whole anything distinct from its parts taken collectively? It is often said that 'a whole is nothing over and above its parts'; but what might we mean by that? Could it be that a whole just is its parts? This collection of essays is the first of its kind to focus on the relationship between composition and identity. Twelve original articles--written by internationally renowned scholars and rising stars in the field--argue for and against the controversial doctrine that composition is identity. An editor's introduction sets out the formal and philosophical groundwork to bring readers to the forefront of the debate.