Quantifiers, Quantifiers, and Quantifiers: Themes in Logic, Metaphysics, and Language

Quantifiers, Quantifiers, and Quantifiers: Themes in Logic, Metaphysics, and Language PDF 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.

Quantifiers, Quantifiers, and Quantifiers: Themes in Logic, Metaphysics, and Language

Quantifiers, Quantifiers, and Quantifiers: Themes in Logic, Metaphysics, and Language PDF 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.

The Many and the One

The Many and the One PDF Author: Salvatore Florio
Publisher: Oxford University Press
ISBN: 0198791526
Category : Philosophy
Languages : en
Pages : 329

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Book Description
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.

The Routledge Handbook of Logical Empiricism

The Routledge Handbook of Logical Empiricism PDF Author: Thomas Uebel
Publisher: Taylor & Francis
ISBN: 1317307631
Category : Philosophy
Languages : en
Pages : 425

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Book Description
Logical empiricism is a philosophical movement that flourished in the 1920s and 30s in Central Europe and in the 1940s and 50s in the United States. With its stated ambition to comprehend the revolutionary advances in the empirical and formal sciences of their day and to confront anti-modernist challenges to scientific reason itself, logical empiricism was never uncontroversial. Uniting key thinkers who often disagreed with one another but shared the aim to conceive of philosophy as part of the scientific enterprise, it left a rich and varied legacy that has only begun to be explored relatively recently. The Routledge Handbook of Logical Empiricism is an outstanding reference source to this challenging subject area, and the first collection of its kind. Comprising 41 chapters written by an international and interdisciplinary team of contributors, the Handbook is organized into four clear parts: The Cultural, Scientific and Philosophical Context and the Development of Logical Empiricism Characteristic Theses of and Specific Issues in Logical Empiricism Relations to Philosophical Contemporaries Leading Post-Positivist Criticisms and Legacy Essential reading for students and researchers in the history of twentieth-century philosophy, especially the history of analytical philosophy and the history of philosophy of science, the Handbook will also be of interest to those working in related areas of philosophy influenced by this important movement, including metaphysics and epistemology, philosophy of mind and philosophy of language.

Reconstruction Effects in Relative Clauses

Reconstruction Effects in Relative Clauses PDF Author: Manfred Krifka
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110380773
Category : Language Arts & Disciplines
Languages : en
Pages : 516

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Book Description
Reconstruction effects in relative clauses are a class of phenomena where the external head of the relative clause seems to behave as if it occupied a position within the relative clause, as far as some commonly accepted principle of grammar is concerned. An often cited type of example is “The [relative of his] [which every man admires most] is his mother.”, where the pronoun “his” in the relative head appears to be bound by the quantified noun phrase “every man” in the relative clause – although the latter does not c-command the former, which is commonly required for binding. Several solutions have been developed in various theoretical frameworks. One interesting aspect about reconstruction effects in relative clauses is that they can be used as a benchmark for competing theories of grammar: Which architecture of the syntax-semantics interface can provide the most satisfying explanation for these phenomena? This volume brings together researchers working in different frameworks but looking at the same set of empirical facts, enabling the reader to develop their own perspective on the perfect tradeoff between syntax and semantics in a theory of grammar.

An Introduction to the Philosophy of Logic

An Introduction to the Philosophy of Logic PDF Author: Daniel Cohnitz
Publisher: Cambridge University Press
ISBN: 1108603289
Category : Philosophy
Languages : en
Pages : 283

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Book Description
Philosophy of logic is a fundamental part of philosophical study, and one which is increasingly recognized as being immensely important in relation to many issues in metaphysics, metametaphysics, epistemology, philosophy of mathematics, and philosophy of language. This textbook provides a comprehensive and accessible introduction to topics including the objectivity of logical inference rules and its relevance in discussions of epistemological relativism, the revived interest in logical pluralism, the question of logic's metaphysical neutrality, and the demarcation between logic and mathematics. Chapters in the book cover the state of the art in contemporary philosophy of logic, and allow students to understand the philosophical relevance of these debates without having to contend with complex technical arguments. This will be a major new resource for students working on logic, as well as for readers seeking a better understanding of philosophy of logic in its wider context.

The Modal Future

The Modal Future PDF Author: Fabrizio Cariani
Publisher: Cambridge University Press
ISBN: 1108474772
Category : Philosophy
Languages : en
Pages : 319

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Book Description
A study of the interactions between the semantics, epistemology and metaphysics of the future.

Epistemic Friction

Epistemic Friction PDF Author: Gila Sher
Publisher: Oxford University Press
ISBN: 0191081299
Category : Philosophy
Languages : en
Pages : 389

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Book Description
Gila Sher approaches knowledge from the perspective of the basic human epistemic situation--the situation of limited yet resourceful beings, living in a complex world and aspiring to know it in its full complexity. What principles should guide them? Two fundamental principles of knowledge are epistemic friction and freedom. Knowledge must be substantially constrained by the world (friction), but without active participation of the knower in accessing the world (freedom) theoretical knowledge is impossible. This requires a grounding of all knowledge, empirical and abstract, in both mind and world, but the fall of traditional foundationalism has led many to doubt the viability of this 'classical' project. The book challenges this skepticism, charting a new foundational methodology, foundational holism, that differs from others in being holistic, world-oriented, and universal (i.e., applicable to all fields of knowledge). Using this methodology, Epistemic Friction develops an integrated theory of knowledge, truth, and logic. This includes (i) a dynamic model of knowledge, incorporating some of Quine's revolutionary ideas while rejecting his narrow empiricism, (ii) a substantivist, non-traditional correspondence theory of truth, and (iii) an outline of a joint grounding of logic in mind and world. The model of knowledge subjects all disciplines to robust norms of both veridicality and conceptualization. The correspondence theory is at once robust, universal, and flexible, allowing multiple patterns of correspondence, including complex and indirect patterns. Logic's systematic grounding brings it in line with other disciplines without neglecting its strong necessity, generality, and normativity, which are explained by its semantic formality.

Paradoxes Between Truth and Proof

Paradoxes Between Truth and Proof PDF Author: Mattia Petrolo
Publisher: Springer Nature
ISBN: 3031745272
Category :
Languages : en
Pages : 301

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Book Description


Objects and Modalities

Objects and Modalities PDF 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.