The Metaphysics and Mathematics of Arbitrary Objects

The Metaphysics and Mathematics of Arbitrary Objects PDF Author: Leon Horsten
Publisher: Cambridge University Press
ISBN: 110860143X
Category : Science
Languages : en
Pages : 251

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Book Description
Building on the seminal work of Kit Fine in the 1980s, Leon Horsten here develops a new theory of arbitrary entities. He connects this theory to issues and debates in metaphysics, logic, and contemporary philosophy of mathematics, investigating the relation between specific and arbitrary objects and between specific and arbitrary systems of objects. His book shows how this innovative theory is highly applicable to problems in the philosophy of arithmetic, and explores in particular how arbitrary objects can engage with the nineteenth-century concept of variable mathematical quantities, how they are relevant for debates around mathematical structuralism, and how they can help our understanding of the concept of random variables in statistics. This fully worked through theory will open up new avenues within philosophy of mathematics, bringing in the work of other philosophers such as Saul Kripke, and providing new insights into the development of the foundations of mathematics from the eighteenth century to the present day.

The Metaphysics and Mathematics of Arbitrary Objects

The Metaphysics and Mathematics of Arbitrary Objects PDF Author: Leon Horsten
Publisher: Cambridge University Press
ISBN: 110860143X
Category : Science
Languages : en
Pages : 251

Get Book Here

Book Description
Building on the seminal work of Kit Fine in the 1980s, Leon Horsten here develops a new theory of arbitrary entities. He connects this theory to issues and debates in metaphysics, logic, and contemporary philosophy of mathematics, investigating the relation between specific and arbitrary objects and between specific and arbitrary systems of objects. His book shows how this innovative theory is highly applicable to problems in the philosophy of arithmetic, and explores in particular how arbitrary objects can engage with the nineteenth-century concept of variable mathematical quantities, how they are relevant for debates around mathematical structuralism, and how they can help our understanding of the concept of random variables in statistics. This fully worked through theory will open up new avenues within philosophy of mathematics, bringing in the work of other philosophers such as Saul Kripke, and providing new insights into the development of the foundations of mathematics from the eighteenth century to the present day.

Metaphysics, Meaning, and Modality

Metaphysics, Meaning, and Modality PDF Author: Mircea Dumitru
Publisher: Oxford University Press
ISBN: 0192598287
Category : Philosophy
Languages : en
Pages : 545

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Book Description
This book is the first edited collection of papers on the work of one of the most seminal and profound contemporary philosophers. Over the last five decades, Kit Fine has made thought-provoking and innovative contributions to several areas of systematic philosophy, including philosophy of language, metaphysics, and the philosophy of mathematics, as well as to a number of topics in philosophical logic. These contributions have helped reshape the agendas of those fields and have given fresh impetus to a number of perennial debates. Fine's work is distinguished by its technical sophistication, philosophical breadth, and independence from current orthodoxy. A blend of sound common-sense combined with a virtuosity in argumentation and constructive thinking is part and parcel of Kit Fine's lasting contributions to current trends in analytic philosophy. Researchers and students in philosophy, logic, linguistics, and cognitive science will benefit alike from these critical contributions to Fine's novel theories on meaning and representation, arbitrary objects, essence, ontological realism, and the metaphysics of modality, and will come away with a better understanding of the issues within contemporary analytic philosophy with which they deal.

Reasoning with Arbitrary Objects

Reasoning with Arbitrary Objects PDF Author: Kit Fine
Publisher: Wiley-Blackwell
ISBN:
Category : Logic
Languages : en
Pages : 236

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Book Description


Understanding Empiricism

Understanding Empiricism PDF Author: Robert G. Meyers
Publisher: Routledge
ISBN: 1317493826
Category : History
Languages : en
Pages : 192

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Book Description
"Understanding Empiricism" is an introduction to empiricism and the empiricist tradition in philosophy. The book presents empiricism as a philosophical outlook that unites several philosophers and discusses the most important philosophical issues bearing on the subject, while maintaining enough distance from, say, the intricacies of Locke, Berkeley, Hume scholarship to allow students to gain a clear overview of empiricism without being lost in the details of the exegetical disputes surrounding particular philosophers. Written for students the book can serve both as an introduction to current problems in the theory of knowledge as well as a comprehensive survey of the history of empiricist ideas. The book begins by distinguishing between the epistemological and psychological/causal versions of empiricism, showing that it is the former that is of primary interest to philosophers. The next three chapters, on Locke, Berkeley, Hume respectively, provide an introduction to the main protagonists in the British empiricist tradition from this perspective. The book then examines more contemporary material including the ideas of Sellars, foundations and coherence theories, the rejection of the a priori by Mill, Peirce and Quine, scepticism and, finally, the status of religious belief within empiricism. Particular attention is paid to criticisms of empiricism, such as Leibniz's criticisms of Locke on innatism and Frege's objections to Mill on mathematics. The discussions are kept at an introductory level throughout to help students to locate the principles of empiricism in relation to modern philosophy.

Ordinary Objects

Ordinary Objects PDF Author: Amie Lynn Thomasson
Publisher: Oxford University Press
ISBN: 0199764441
Category : Philosophy
Languages : en
Pages : 253

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Book Description
'Ordinary Objects' shows how to develop a common-sense ontology and defend it against a variety of eliminativist arguments. The text argues that the apparently diverse eliminativist arguments rest on a few shared assumptions, and that questioning these gives us reason to reevaluate the proper methods and limits of metaphysics.

Objects

Objects PDF Author: Daniel Z. Korman
Publisher: Oxford University Press
ISBN: 0198732538
Category : Metaphysics
Languages : en
Pages : 262

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Book Description
What sorts of material objects are there? Many philosophers opt for surprising answers to this question that seem deeply at odds with how we ordinarily think about the material world. Some embrace radically eliminative views, on which there are far fewer objects than we ordinarily take there to be, while others go in for radically permissive views on which there are legions of extraordinary objects that somehow escape our notice, despite being highly visible and right before our eyes. In this book, Daniel Z. Korman defends our ordinary, intuitive judgments about which objects there are. The book responds to a wide variety of arguments that have driven people away from the intuitive view: arbitrariness arguments, debunking arguments, overdetermination arguments, arguments from vagueness and material constitution, and the problem of the many. It also criticizes attempts to show that permissive and eliminative views are, despite appearances, entirely compatible with our ordinary beliefs and intuitions.

Abstract Objects

Abstract Objects PDF Author: E. Zalta
Publisher: Springer Science & Business Media
ISBN: 9400969805
Category : Philosophy
Languages : en
Pages : 205

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Book Description
In this book, I attempt to lay the axiomatic foundations of metaphysics by developing and applying a (formal) theory of abstract objects. The cornerstones include a principle which presents precise conditions under which there are abstract objects and a principle which says when apparently distinct such objects are in fact identical. The principles are constructed out of a basic set of primitive notions, which are identified at the end of the Introduction, just before the theorizing begins. The main reason for producing a theory which defines a logical space of abstract objects is that it may have a great deal of explanatory power. It is hoped that the data explained by means of the theory will be of interest to pure and applied metaphysicians, logicians and linguists, and pure and applied epistemologists. The ideas upon which the theory is based are not essentially new. They can be traced back to Alexius Meinong and his student, Ernst Mally, the two most influential members of a school of philosophers and psychologists working in Graz in the early part of the twentieth century. They investigated psychological, abstract and non-existent objects - a realm of objects which weren't being taken seriously by Anglo-American philoso phers in the Russell tradition. I first took the views of Meinong and Mally seriously in a course on metaphysics taught by Terence Parsons at the University of Massachusetts/Amherst in the Fall of 1978. Parsons had developed an axiomatic version of Meinong's naive theory of objects.

Identity

Identity PDF Author: Erica Shumener
Publisher: Cambridge University Press
ISBN: 1009020153
Category : Philosophy
Languages : en
Pages : 105

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Book Description
Identity criteria are powerful tools for the metaphysician. They tell us when items are identical or distinct. Some varieties of identity criteria also try to explain in virtue of what items are identical or distinct. This Element has two objectives: to discuss formulations of identity criteria and to take a closer look at one notorious criterion of object identity, Leibniz's Law. The first section concerns the form of identity criteria. The second section concerns the better-regarded half of Leibniz's Law, the indiscernibility of identicals. The third section turns to the more controversial half of Leibniz's Law, the identity of indiscernibles. The author considers alternatives to Leibniz's Law as well as the possibility that there are no adequate identity criteria to be found.

Contemporary Aristotelian Metaphysics

Contemporary Aristotelian Metaphysics PDF Author: Tuomas E. Tahko
Publisher: Cambridge University Press
ISBN: 1139502697
Category : Philosophy
Languages : en
Pages : 277

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Book Description
Aristotelian (or neo-Aristotelian) metaphysics is currently undergoing something of a renaissance. This volume brings together fourteen essays from leading philosophers who are sympathetic to this conception of metaphysics, which takes its cue from the idea that metaphysics is the first philosophy. The primary input from Aristotle is methodological, but many themes familiar from his metaphysics will be discussed, including ontological categories, the role and interpretation of the existential quantifier, essence, substance, natural kinds, powers, potential, and the development of life. The volume mounts a strong challenge to the type of ontological deflationism which has recently gained a strong foothold in analytic metaphysics. It will be a useful resource for scholars and advanced students who are interested in the foundations and development of philosophy.

Rethinking Identity and Metaphysics

Rethinking Identity and Metaphysics PDF Author: Claire Ortiz Hill
Publisher: Yale University Press
ISBN: 9780300068375
Category : Philosophy
Languages : en
Pages : 212

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Book Description
Two hundred years ago, J.M.W. Turner packed up two large leatherbound sketchbooks, pencils, and watercolors and set off for the north of England. When he returned from the tour that he regarded as one of the most important of his career, Turner had completed more than two hundred sketches - works that later became the basis of more than fifty major oil paintings and watercolors. For this illustrated book, David Hill has taken photographs of many of the actual sites Turner sketched on his northern tour. The result is an look at the whole of Turner's creative process, from site to exhibited picture, and at the quality and intensity of the artist's experience.