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Author: Agustín Rayo Publisher: Oxford University Press ISBN: 0199276420 Category : Philosophy Languages : en Pages : 407
Book Description
Is it possible to quantify over absolutely all there is? Or must all of our quantifiers range over a less-than-all-inclusive domain? It has commonly been thought that the question of absolute generality is intimately connected with the set-theoretic antinomies. But the topic of absolute generality has enjoyed a surge of interest in recent years. It has become increasingly apparent that its ramifications extend well beyond the foundations of set theory. Connections include semanticindeterminacy, logical consequence, higher-order languages, and metaphysics.Rayo and Uzquiano present for the first time a collection of essays on absolute generality. These newly commissioned articles -- written by an impressive array of international scholars -- draw the reader into the forefront of contemporary research on the subject. The volume represents a variety of approaches to the problem, with some of the contributions arguing for the possibility of all-inclusive quantification and some of them arguing against it. An introduction by the editors draws ahelpful map of the philosophical terrain.
Author: Agustín Rayo Publisher: Oxford University Press ISBN: 0199276420 Category : Philosophy Languages : en Pages : 407
Book Description
Is it possible to quantify over absolutely all there is? Or must all of our quantifiers range over a less-than-all-inclusive domain? It has commonly been thought that the question of absolute generality is intimately connected with the set-theoretic antinomies. But the topic of absolute generality has enjoyed a surge of interest in recent years. It has become increasingly apparent that its ramifications extend well beyond the foundations of set theory. Connections include semanticindeterminacy, logical consequence, higher-order languages, and metaphysics.Rayo and Uzquiano present for the first time a collection of essays on absolute generality. These newly commissioned articles -- written by an impressive array of international scholars -- draw the reader into the forefront of contemporary research on the subject. The volume represents a variety of approaches to the problem, with some of the contributions arguing for the possibility of all-inclusive quantification and some of them arguing against it. An introduction by the editors draws ahelpful map of the philosophical terrain.
Author: Agustín Rayo Publisher: Oxford University Press on Demand ISBN: 9780199276424 Category : Philosophy Languages : en Pages : 408
Book Description
Is it possible to quantify over absolutely all there is? Or must all of our quantifiers range over a less-than-all-inclusive domain? It has commonly been thought that the question of absolute generality is intimately connected with the set-theoretic antinomies. But the topic of absolute generality has enjoyed a surge of interest in recent years. It has become increasingly apparent that its ramifications extend well beyond the foundations of set theory. Connections include semanticindeterminacy, logical consequence, higher-order languages, and metaphysics.Rayo and Uzquiano present for the first time a collection of essays on absolute generality. These newly commissioned articles -- written by an impressive array of international scholars -- draw the reader into the forefront of contemporary research on the subject. The volume represents a variety of approaches to the problem, with some of the contributions arguing for the possibility of all-inclusive quantification and some of them arguing against it. An introduction by the editors draws ahelpful map of the philosophical terrain.
Author: James Studd Publisher: ISBN: 9780191788734 Category : PHILOSOPHY Languages : en Pages :
Book Description
Almost no systematic theorizing is generality-free. Scientists test general hypotheses; set theorists prove theorems about every set; metaphysicians espouse theses about all things of any kind. But do we ever succeed in theorizing about absolutely everything? Not according to generality relativism, which J.P. Studd defends in this book.
Author: J. P. Studd Publisher: Oxford University Press ISBN: 0191030368 Category : Philosophy Languages : en Pages : 256
Book Description
Almost no systematic theorizing is generality-free. Scientists test general hypotheses; set theorists prove theorems about every set; metaphysicians espouse theses about all things regardless of their kind. But how general can we be and do we ever succeed in theorizing about absolutely everything? Not according to generality relativism. In its most promising form, this kind of relativism maintains that what 'everything' and other quantifiers encompass is always open to expansion: no matter how broadly we may generalize, a more inclusive 'everything' is always available. The importance of the issue comes out, in part, in relation to the foundations of mathematics. Generality relativism opens the way to avoid Russell's paradox without imposing ad hoc limitations on which pluralities of items may be encoded as a set. On the other hand, generality relativism faces numerous challenges: What are we to make of seemingly absolutely general theories? What prevents our achieving absolute generality simply by using 'everything' unrestrictedly? How are we to characterize relativism without making use of exactly the kind of generality this view foreswears? This book offers a sustained defence of generality relativism that seeks to answer these challenges. Along the way, the contemporary absolute generality debate is traced through diverse issues in metaphysics, logic, and the philosophy of language; some of the key works that lie behind the debate are reassessed; an accessible introduction is given to the relevant mathematics; and a relativist-friendly motivation for Zermelo-Fraenkel set theory is developed.
Author: Alessandro Torza Publisher: Springer ISBN: 3319183621 Category : Philosophy Languages : en Pages : 526
Book Description
This volume covers a wide range of topics that fall under the 'philosophy of quantifiers', a philosophy that spans across multiple areas such as logic, metaphysics, epistemology and even the history of philosophy. It discusses the import of quantifier variance in the model theory of mathematics. It advances an argument for the uniqueness of quantifier meaning in terms of Evert Beth’s notion of implicit definition and clarifies the oldest explicit formulation of quantifier variance: the one proposed by Rudolf Carnap. The volume further examines what it means that a quantifier can have multiple meanings and addresses how existential vagueness can induce vagueness in our modal notions. Finally, the book explores the role played by quantifiers with respect to various kinds of semantic paradoxes, the logicality issue, ontological commitment, and the behavior of quantifiers in intensional contexts.
Author: W. E. Johnson Publisher: Cambridge University Press ISBN: 1107689163 Category : Philosophy Languages : en Pages : 297
Book Description
Originally published in 1921, this book forms the first of a three-volume series relating to 'the whole field of logic as ordinarily understood'.
Author: Øystein Linnebo Publisher: Oxford University Press ISBN: 0192558773 Category : Philosophy Languages : en Pages : 288
Book Description
Are there objects that are " in the sense that not very much is required for their existence? Frege famously thought so. He claimed that the equinumerosity of the knives and the forks suffices for there to be objects such as the number of knives and the number of forks, and for these objects to be identical. The idea of thin objects holds great philosophical promise but has proved hard to explicate. Øystein Linnebo aims to do so by drawing on some Fregean ideas. First, to be an object is to be a possible referent of a singular term. Second, singular reference can be achieved by providing a criterion of identity for the would-be referent. The second idea enables a form of easy reference and thus, via the first idea, also a form of easy being. Paradox is avoided by imposing a predicativity restriction on the criteria of identity. But the abstraction based on a criterion of identity may result in an expanded domain. By iterating such expansions, a powerful account of dynamic abstraction is developed. The result is a distinctive approach to ontology. Abstract objects such as numbers and sets are demystified and allowed to exist alongside more familiar physical objects. And Linnebo also offers a novel approach to set theory which takes seriously the idea that sets are " successively.
Author: Gary Slater Publisher: Oxford University Press ISBN: 0191067547 Category : Religion Languages : en Pages : 352
Book Description
This study develops resources in the work of Charles S. Peirce (1839-1914) for the purposes of contemporary philosophy. It contextualizes Peirce's prevailing influences and provides greater context in relation to the currents of nineteenth-century thought. Dr Gary Slater articulates 'a nested continua model' for theological interpretation, which is indebted to Peirce's creation of 'Existential Graphs', a system of diagrams designed to provide visual representation of the process of human reasoning. He investigates how the model can be applied by looking at recent debates in historiography. He deals respectively with Peter Ochs and Robert C. Neville as contemporary manifestations of Peircean philosophical theology. This work concludes with an assessment of the model's theological implications.
Author: Agustín Rayo
Author: Agustín Rayo
Author: Agustín Rayo
Author: James Studd
Author: J. P. Studd
Author: Alessandro Torza
Author: Solomon Joseph Silberstein
Author: W. E. Johnson
Author: William Ernest Johnson
Author: Øystein Linnebo
Author: Gary Slater