Mereology: A Philosophical Introduction

Mereology: A Philosophical Introduction PDF Author: Giorgio Lando
Publisher: Bloomsbury Publishing
ISBN: 147258368X
Category : Philosophy
Languages : en
Pages : 240

Get Book

Book Description
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.

Mereology: A Philosophical Introduction

Mereology: A Philosophical Introduction PDF Author: Giorgio Lando
Publisher: Bloomsbury Publishing
ISBN: 147258368X
Category : Philosophy
Languages : en
Pages : 240

Get Book

Book Description
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.

Mereology

Mereology PDF Author: A. J. Cotnoir
Publisher: Oxford University Press
ISBN: 0198749007
Category : Philosophy
Languages : en
Pages : 422

Get Book

Book Description
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.

Mereology and Location

Mereology and Location PDF Author: Shieva Kleinschmidt
Publisher: Oxford University Press
ISBN: 0199593825
Category : Philosophy
Languages : en
Pages : 290

Get Book

Book Description
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.

Mereology and the Sciences

Mereology and the Sciences PDF Author: Claudio Calosi
Publisher: Springer
ISBN: 3319053566
Category : Philosophy
Languages : en
Pages : 389

Get Book

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.

Mereology

Mereology PDF Author: A. J. Cotnoir
Publisher: Oxford University Press
ISBN: 0191065838
Category : Philosophy
Languages : en
Pages : 400

Get Book

Book Description
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.

Mereology and Location

Mereology and Location PDF Author: Shieva Kleinschmidt
Publisher: OUP Oxford
ISBN: 0191662879
Category : Philosophy
Languages : en
Pages : 256

Get Book

Book Description
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.

The Mereology of Classes

The Mereology of Classes PDF Author: Gabriel Uzquiano
Publisher: Cambridge University Press
ISBN: 1009090305
Category : Philosophy
Languages : en
Pages : 94

Get Book

Book Description
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.

Substance and the Fundamentality of the Familiar

Substance and the Fundamentality of the Familiar PDF Author: Ross D. Inman
Publisher: Routledge
ISBN: 1351660047
Category : Philosophy
Languages : en
Pages : 447

Get Book

Book Description
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.

Approximate Reasoning by Parts

Approximate Reasoning by Parts PDF Author: Lech Polkowski
Publisher: Springer Science & Business Media
ISBN: 364222279X
Category : Technology & Engineering
Languages : en
Pages : 356

Get Book

Book Description
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.

Hylomorphism and Mereology

Hylomorphism and Mereology PDF Author: Gyula Klima
Publisher: Cambridge Scholars Publishing
ISBN: 152752650X
Category : Philosophy
Languages : en
Pages : 119

Get Book

Book Description
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.