Quantifiers, Quantifiers, and Quantifiers: Themes in Logic, Metaphysics, and Language PDF Download
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Author: Alessandro Torza
Publisher:
ISBN: 9783319183633
Category :
Languages : en
Pages :
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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: Alessandro Torza
Publisher:
ISBN: 9783319183633
Category :
Languages : en
Pages :
Get Book Here
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: Alessandro Torza
Publisher: Springer
ISBN: 3319183621
Category : Philosophy
Languages : en
Pages : 519
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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: Martin Kusch
Publisher: Routledge
ISBN: 1351052292
Category : Philosophy
Languages : en
Pages : 597
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Book Description
Relativism can be found in all philosophical traditions and subfields of philosophy. It is also a central idea in the social sciences, the humanities, religion and politics. This is the first volume to map relativistic motifs in all areas of philosophy, synchronically and diachronically. It thereby provides essential intellectual tools for thinking about contemporary issues like cultural diversity, the plurality of the sciences, or the scope of moral values. The Routledge Handbook of Philosophy of Relativism is an outstanding major reference source on this fundamental topic. The 57 chapters by a team of international contributors are divided into nine parts: Relativism in non-Western philosophical traditions Relativism in Western philosophical traditions Relativism in ethics Relativism in political and legal philosophy Relativism in epistemology Relativism in metaphysics Relativism in philosophy of science Relativism in philosophy of language and mind Relativism in other areas of philosophy. Essential reading for students and researchers in all branches of philosophy, this handbook will also be of interest to those in related subjects such as politics, religion, sociology, cultural studies and literature.
Author: Gil Sagi
Publisher: Cambridge University Press
ISBN: 1108529828
Category : Mathematics
Languages : en
Pages : 323
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Book Description
This collection of new essays presents cutting-edge research on the semantic conception of logic, the invariance criteria of logicality, grammaticality, and logical truth. Contributors explore the history of the semantic tradition, starting with Tarski, and its historical applications, while central criticisms of the tradition, and especially the use of invariance criteria to explain logicality, are revisited by the original participants in that debate. Other essays discuss more recent criticism of the approach, and researchers from mathematics and linguistics weigh in on the role of the semantic tradition in their disciplines. This book will be invaluable to philosophers and logicians alike.
Author: Tero Tulenheimo
Publisher: Springer
ISBN: 3319531190
Category : Philosophy
Languages : en
Pages : 217
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Book Description
This book develops a novel generalization of possible world semantics, called ‘world line semantics’, which recognizes worlds and links between world-bound objects (world lines) as mutually independent aspects of modal semantics. Addressing a wide range of questions vital for contemporary debates in logic and philosophy of language and offering new tools for theoretical linguistics and knowledge representation, the book proposes a radically new paradigm in modal semantics. This framework is motivated philosophically, viewing a structure of world lines as a precondition of modal talk. The author provides a uniform analysis of quantification over individuals (physical objects) and objects of thought (intentional objects). The semantic account of what it means to speak of intentional objects throws new light on accounts of intentionality and singular thought in the philosophy of mind and offers novel insights into the semantics of intensional transitive verbs.
Author: J. P. Studd
Publisher: Oxford University Press
ISBN: 0191030368
Category : Philosophy
Languages : en
Pages : 304
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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: J. T. M. Miller
Publisher: Oxford University Press
ISBN: 0192895338
Category : Philosophy
Languages : en
Pages : 229
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Book Description
The Langage of Ontology addresses the question of is whether the nature of language influences or limits debates about what exists. Chapters from both established and new voices explore the range of issues relating to our ability or inability to get beyond the limits of our language.
Author: Sharon Berry
Publisher: Cambridge University Press
ISBN: 1108998852
Category : Science
Languages : en
Pages : 250
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Book Description
In many ways set theory lies at the heart of modern mathematics, and it does powerful work both philosophical and mathematical – as a foundation for the subject. However, certain philosophical problems raise serious doubts about our acceptance of the axioms of set theory. In a detailed and original reassessment of these axioms, Sharon Berry uses a potentialist (as opposed to actualist) approach to develop a unified determinate conception of set-theoretic truth that vindicates many of our intuitive expectations regarding set theory. Berry further defends her approach against a number of possible objections, and she shows how a notion of logical possibility that is useful in formulating Potentialist set theory connects in important ways with philosophy of language, metametaphysics and philosophy of science. Her book will appeal to readers with interests in the philosophy of set theory, modal logic, and the role of mathematics in the sciences.
Author: Mattia Petrolo
Publisher: Springer Nature
ISBN: 3031745272
Category :
Languages : en
Pages : 301
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Book Description
Author: Adam Rieger
Publisher: Springer Nature
ISBN: 3031545575
Category :
Languages : en
Pages : 386
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Book Description
