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Speaking Of Abstract Objects
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Download or read book Types and Tokens written by Linda Wetzel and published by MIT Press. This book was released on 2009-07-31 with total page 197 pages. Available in PDF, EPUB and Kindle. Book excerpt: A consideration of the distinction between the spatiotemporal furniture of the world (tokens) and the types of which they are instances, and an argument that types exist. There is a widely recognized but infrequently discussed distinction between the spatiotemporal furniture of the world (tokens) and the types of which they are instances. Words come in both types and tokens—for example, there is only one word type 'the' but there are numerous tokens of it on this page—as do symphonies, bears, chess games, and many other types of things. In this book, Linda Wetzel examines the distinction between types and tokens and argues that types exist (as abstract objects, since they lack a unique spatiotemporal location). Wetzel demonstrates the ubiquity of references to (and quantifications over) types in science and ordinary language; types have to be reckoned with, and cannot simply be swept under the rug. Wetzel argues that there are such things as types by undermining the epistemological arguments against abstract objects and offering extended original arguments demonstrating the failure of nominalistic attempts to paraphrase away such references to (and quantifications over) types. She then focuses on the relation between types and their tokens, especially for words, showing for the first time that there is nothing that all tokens of a type need have in common other than being tokens of that type. Finally, she considers an often-overlooked problem for realism having to do with types occurring in other types (such as words in a sentence) and proposes an important and original solution, extending her discussion from words and expressions to other types that structurally involve other types (flags and stars and stripes; molecules and atoms; sonatas and notes).
Book Synopsis God and Abstract Objects by : William Lane Craig
Download or read book God and Abstract Objects written by William Lane Craig and published by Springer. This book was released on 2017-09-05 with total page 540 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an exploration and defense of the coherence of classical theism’s doctrine of divine aseity in the face of the challenge posed by Platonism with respect to abstract objects. A synoptic work in analytic philosophy of religion, the book engages discussions in philosophy of mathematics, philosophy of language, metaphysics, and metaontology. It addresses absolute creationism, non-Platonic realism, fictionalism, neutralism, and alternative logics and semantics, among other topics. The book offers a helpful taxonomy of the wide range of options available to the classical theist for dealing with the challenge of Platonism. It probes in detail the diverse views on the reality of abstract objects and their compatibility with classical theism. It contains a most thorough discussion, rooted in careful exegesis, of the biblical and patristic basis of the doctrine of divine aseity. Finally, it challenges the influential Quinean metaontological theses concerning the way in which we make ontological commitments.
Book Synopsis Reference to Abstract Objects in Discourse by : Nicholas Asher
Download or read book Reference to Abstract Objects in Discourse written by Nicholas Asher and published by Springer Science & Business Media. This book was released on 1993-04-30 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is about abstract objects and the ways we refer to them in natural language. Asher develops a semantical and metaphysical analysis of these entities in two stages. The first reflects the rich ontology of abstract objects necessitated by the forms of language in which we think and speak. A second level of analysis maps the ontology of natural language metaphysics onto a sparser domain--a more systematic realm of abstract objects that are fully analyzed. This second level reflects the commitments of real metaphysics. The models for these commitments assign truth conditions to natural language discourse. Annotation copyright by Book News, Inc., Portland, OR
Book Synopsis Abstract Objects by : José L. Falguera
Download or read book Abstract Objects written by José L. Falguera and published by Springer Nature. This book was released on 2020-05-08 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume examines the question “Do abstract objects exist?”, presenting new work from contributing authors across different branches of philosophy. The introduction overviews philosophical debate which considers: what objects qualify as abstract, what do we mean by the word "exist” and indeed, what evidence should count in favor or against the thesis that abstract objects exist. Through subsequent chapters readers will discover the ubiquity of abstract objects as each philosophical field is considered. Given the ubiquitous use of expressions that purportedly refer to abstract objects, we think that it is relevant to attend to the controversy between those who want to advocate the existence of abstract objects and those who stand against them. Contributions to this volume depict positions and debates that directly or indirectly involve taking one position or other about abstract objects of different kinds and categories. The volume provides a variety of samples of how positions for or against abstract objects can be used in different areas of philosophy in relation to different matters.
Book Synopsis Beyond the Control of God? by : Paul Gould
Download or read book Beyond the Control of God? written by Paul Gould and published by Bloomsbury Publishing USA. This book was released on 2014-03-27 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: The question of God's relationship to abstract objects touches on a number of perennial concerns related to the nature of God. God is typically thought to be an independent and self-sufficient being. Further, God is typically thought to be supremely sovereign such that all reality distinct from God is dependent on God's creative and sustaining activity. However, the view that there are abstract objects seems to be a repudiation of this traditional understanding of God. Abstract objects are typically thought to exist necessarily and it is natural to think that if something exists necessarily, it does so because it is its nature to exist. Thus, abstract objects exist independently of God. Philosophers have called this the problem of God and abstract objects. In this book, six contemporary solutions to the problem are set out and defended against objections. It will be valuable for all students or scholars who are interested in the concept and nature of God.
Download or read book Abstract Objects written by E. Zalta and published by Springer Science & Business Media. This book was released on 1983-06-30 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis God Over All by : William Lane Craig
Download or read book God Over All written by William Lane Craig and published by Oxford University Press. This book was released on 2016 with total page 255 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is a defense of God's unique status as the creator of all things apart from himself in the face of the challenge of mathematical Platonism. It is based on William Lane Craig's Cadbury Lectures given at the University of Birmingham in March 2015.
Book Synopsis Art and Abstract Objects by : Christy Mag Uidhir
Download or read book Art and Abstract Objects written by Christy Mag Uidhir and published by Oxford University Press. This book was released on 2012 with total page 319 pages. Available in PDF, EPUB and Kindle. Book excerpt: Art and Abstract Objects presents a lively philosophical exchange between the philosophy of art and core areas of philosophy. A team of contributors examine the ontological nature of repeatable artworks—such as plays, novels, and films—as abstract objects, which are immaterial, causally inert, and outside space-time.
Download or read book Abstract Objects written by David Liggins and published by . This book was released on 2024-02-28 with total page 68 pages. Available in PDF, EPUB and Kindle. Book excerpt: Philosophers often debate the existence of such things as numbers and propositions, and say that if these objects exist, they are abstract. But what does it mean to call something 'abstract'? And do we have good reason to believe in the existence of abstract objects? This Element addresses those questions, putting newcomers to these debates in a position to understand what they concern and what are the most influential considerations at work in this area of metaphysics. It also provides advice on which lines of discussion promise to be the most fruitful.
Download or read book Abstract Objects written by E. Zalta and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 205 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Abstract Objects and the Semantics of Natural Language by : Friederike Moltmann
Download or read book Abstract Objects and the Semantics of Natural Language written by Friederike Moltmann and published by OUP Oxford. This book was released on 2013-03-28 with total page 255 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract objects have been a central topic in philosophy since antiquity. Philosophers have defended various views about abstract objects by appealing to metaphysical considerations, considerations regarding mathematics or science, and, not infrequently, intuitions about natural language. This book pursues the question of how and whether natural language allows for reference to abstract objects in a fully systematic way. By making full use of contemporary linguistic semantics, it presents a much greater range of linguistic generalizations than has previously been taken into consideration in philosophical discussions, and it argues for an ontological picture is very different from that generally taken for granted by philosophers and semanticists alike. Reference to abstract objects such as properties, numbers, propositions, and degrees is considerably more marginal than generally held. Instead, natural language is rather generous in allowing reference to particularized properties (tropes), the use of nonreferential expressions in apparent referential position, and the use of 'nominalizing expressions', such as quantifiers like 'something'. Reference to abstract objects is achieved generally only by the use of 'reifying terms', such as 'the number eight'.
Book Synopsis Do Numbers Exist? by : Peter van Inwagen
Download or read book Do Numbers Exist? written by Peter van Inwagen and published by Taylor & Francis. This book was released on 2024-03-12 with total page 299 pages. Available in PDF, EPUB and Kindle. Book excerpt: In Do Numbers Exist? Peter van Inwagen and William Lane Craig take opposite sides on whether there are abstract objects, such as numbers and properties. Craig argues that there are no abstract objects, whereas Van Inwagen argues that there are. Their exchange explores various arguments about the existence and nature of abstract objects. They focus especially on whether our ordinary and scientific thought and talk commit us to abstract objects, surveying the options available to us and the objections each faces. The debate covers central problems and methods in metaphysics, and also delves into theological questions raised by abstract objects. Key Features: Showcases the presentation and defense of two points of view on the existence of abstract objects, from two of the world’s leading philosophers Presents definitions in an easily accessible form Provides frequent summaries of previously covered material Includes a glossary of all specialized vocabulary
Book Synopsis Beyond the Control of God? by : Paul Gould
Download or read book Beyond the Control of God? written by Paul Gould and published by A&C Black. This book was released on 2014-03-27 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: Views of Keith Yandell, Paul M. Gould and Richard Brian Davis, Greg Welty, William Lane Craig, Scott A. Shalkowski, Graham Oppy.
Book Synopsis Speaking of Events by : James Higginbotham
Download or read book Speaking of Events written by James Higginbotham and published by Oxford University Press, USA. This book was released on 2000 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: The view that an adequate semantics of natural language calls for some theory of events has been a focus of considerable debate among linguists and philosophers. This book offers a vivid and up-to-date indication of this debate.
Book Synopsis How to Refer to Abstract Objects by : James Edgar Davies
Download or read book How to Refer to Abstract Objects written by James Edgar Davies and published by . This book was released on 2016 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Consider the statement "7 + 5 = 12". It appears to be true. Moreover, it appears to entail that something is identical to 7 + 5. But this thing that is identical to 7 + 5 does not appear to be located in space or time - where and when would we find it? Nor does it appear to enter into any causal interactions - what causes can influence it, and what events has it produced? Mathematical platonism is the view that all these intuitive appearances are correct: many of our mathematical statements are true statements about non-spatiotemporal and non-causal objects, or as philosophers say, abstract objects. Mathematical platonism stands in direct tension with many contemporary theories about how our thoughts and utterances can be about mind-independent objects, as most of those theories explain how we can think and speak about such objects in causal terms. This observation gives rise to the following argument, which I call the 'semantic argument against mathematical platonism'. For our any one of our expressions to refer to an object o, it must be possible for o to stand in at least one causal relation. It is impossible for abstract mathematical objects to stand in causal relations. Therefore reference to abstract mathematical objects is impossible. But if reference to abstract mathematical objects is impossible, then hardly any of our mathematical statements are true - at least when read at face value. This substantially undermines mathematical platonism. This dissertation defends mathematical platonism against the semantic argument. It has four chapters and a brief conclusion. I ultimately describe a package of views that may allow the platonist to resist the semantic argument. In particular this package of views allows the platonist to claim that not only can we refer to abstract mathematical objects, but we can refer singularly to them. Hence not only are apparent mathematical truths like "7 + 5 = 12" indeed true, but they say what they appear to say.
Book Synopsis Mathematical Thought and its Objects by : Charles Parsons
Download or read book Mathematical Thought and its Objects written by Charles Parsons and published by Cambridge University Press. This book was released on 2007-12-24 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: Charles Parsons examines the notion of object, with the aim to navigate between nominalism, denying that distinctively mathematical objects exist, and forms of Platonism that postulate a transcendent realm of such objects. He introduces the central mathematical notion of structure and defends a version of the structuralist view of mathematical objects, according to which their existence is relative to a structure and they have no more of a 'nature' than that confers on them. Parsons also analyzes the concept of intuition and presents a conception of it distantly inspired by that of Kant, which describes a basic kind of access to abstract objects and an element of a first conception of the infinite.
Book Synopsis Probability and Schrdinger's Mechanics by : David B. Cook
Download or read book Probability and Schrdinger's Mechanics written by David B. Cook and published by World Scientific. This book was released on 2002 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book addresses some of the problems of interpreting Schrdinger's mechanics ? the most complete and explicit theory falling under the umbrella of ?quantum theory?. The outlook is materialist (?realist?) and stresses the development of Schrdinger's mechanics from classical theories and its close connections with (particularly) the Hamilton?Jacobi theory. Emphasis is placed on the concepts and use of the modern objective (measure-theoretic) probability theory. The work is free from any mention of the bearing of Schrdinger's mechanics on God, his alleged mind or, indeed, minds at all. The author has taken the nave view that this mechanics is about the structure and dynamics of atomic and sub-atomic systems since he has been unable to trace any references to minds, consciousness or measurements in the foundations of the theory.
