Absolute Generality
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Author | : Agustín Rayo |
Publisher | : Oxford University Press on Demand |
Total Pages | : 408 |
Release | : 2006-11-23 |
Genre | : Philosophy |
ISBN | : 9780199276424 |
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 |
Total Pages | : 407 |
Release | : 2006-11-23 |
Genre | : Philosophy |
ISBN | : 0199276420 |
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 | : |
Total Pages | : |
Release | : 2019 |
Genre | : PHILOSOPHY |
ISBN | : 9780191788734 |
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 | : Salvatore Florio |
Publisher | : Oxford University Press |
Total Pages | : 329 |
Release | : 2021 |
Genre | : Philosophy |
ISBN | : 0198791526 |
Plural logic has seen a surge of interest in recent years. This book explores its broader significance for philosophy, logic, and linguistics. What can plural logic do for us? Are the bold claims made on its behalf correct? The result is a more nuanced picture of plural logic's applications than has been given thus far.
Author | : Alessandro Torza |
Publisher | : Springer |
Total Pages | : 526 |
Release | : 2015-07-23 |
Genre | : Philosophy |
ISBN | : 3319183621 |
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 | : Solomon Joseph Silberstein |
Publisher | : |
Total Pages | : 208 |
Release | : 1904 |
Genre | : Jews |
ISBN | : |
Author | : W. E. Johnson |
Publisher | : Cambridge University Press |
Total Pages | : 297 |
Release | : 2014-04-17 |
Genre | : Philosophy |
ISBN | : 1107689163 |
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 | : W. E. Johnson |
Publisher | : |
Total Pages | : 304 |
Release | : 1921 |
Genre | : Logic |
ISBN | : |
Part 1: Logic ; Part 2: Demonstrative inference; deductive and inductive ; Part 3: The logical foundations of science.
Author | : William Ernest Johnson |
Publisher | : |
Total Pages | : 306 |
Release | : 1921 |
Genre | : Logic |
ISBN | : |
Part 1: Logic ; Part 2: Demonstrative inference; deductive and inductive ; Part 3: The logical foundations of science.
Author | : Øystein Linnebo |
Publisher | : Oxford University Press |
Total Pages | : 256 |
Release | : 2018-05-24 |
Genre | : Philosophy |
ISBN | : 0192558773 |
Are there objects that are “thin” 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 “formed” successively.