Contextual Approaches to Truth and the Strengthened Liar Paradox PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Contextual Approaches to Truth and the Strengthened Liar Paradox PDF full book. Access full book title Contextual Approaches to Truth and the Strengthened Liar Paradox by Christine Schurz. Download full books in PDF and EPUB format.
Author: Christine Schurz
Publisher: Walter de Gruyter
ISBN: 311032458X
Category : Philosophy
Languages : en
Pages : 145
Get Book Here
Book Description
The problem of truth and the liar paradox is one of the most extensive problems of philosophy. The liar paradox can be avoided by assuming a so-called theory of partial truth instead of a classical theory of truth. Theories of partial truth, however, cannot solve the so-called strengthened liar paradox, which is the problem that many semantic statements about the so-called strengthened liar cannot be true in a theory of partial truth. If such semantic statements were true in the theory, another paradox would emerge. To proponents of contextual accounts, which assume that the concept of truth is context-dependent, the strengthened liar paradox is the core of the liar problem. This book provides an overview of current contextual approaches to the strengthened liar paradox. For this purpose, the author investigates formal theories of truth that result from formal reconstructions of such contextual approaches.
Author: Christine Schurz
Publisher: Walter de Gruyter
ISBN: 311032458X
Category : Philosophy
Languages : en
Pages : 145
Get Book Here
Book Description
The problem of truth and the liar paradox is one of the most extensive problems of philosophy. The liar paradox can be avoided by assuming a so-called theory of partial truth instead of a classical theory of truth. Theories of partial truth, however, cannot solve the so-called strengthened liar paradox, which is the problem that many semantic statements about the so-called strengthened liar cannot be true in a theory of partial truth. If such semantic statements were true in the theory, another paradox would emerge. To proponents of contextual accounts, which assume that the concept of truth is context-dependent, the strengthened liar paradox is the core of the liar problem. This book provides an overview of current contextual approaches to the strengthened liar paradox. For this purpose, the author investigates formal theories of truth that result from formal reconstructions of such contextual approaches.
Author: Hartry Field
Publisher: OUP Oxford
ISBN: 0191528161
Category : Philosophy
Languages : en
Pages : 423
Get Book Here
Book Description
Saving Truth from Paradox is an ambitious investigation into paradoxes of truth and related issues, with occasional forays into notions such as vagueness, the nature of validity, and the Gödel incompleteness theorems. Hartry Field presents a new approach to the paradoxes and provides a systematic and detailed account of the main competing approaches. Part One examines Tarski's, Kripke’s, and Lukasiewicz’s theories of truth, and discusses validity and soundness, and vagueness. Part Two considers a wide range of attempts to resolve the paradoxes within classical logic. In Part Three Field turns to non-classical theories of truth that that restrict excluded middle. He shows that there are theories of this sort in which the conditionals obey many of the classical laws, and that all the semantic paradoxes (not just the simplest ones) can be handled consistently with the naive theory of truth. In Part Four, these theories are extended to the property-theoretic paradoxes and to various other paradoxes, and some issues about the understanding of the notion of validity are addressed. Extended paradoxes, involving the notion of determinate truth, are treated very thoroughly, and a number of different arguments that the theories lead to "revenge problems" are addressed. Finally, Part Five deals with dialetheic approaches to the paradoxes: approaches which, instead of restricting excluded middle, accept certain contradictions but alter classical logic so as to keep them confined to a relatively remote part of the language. Advocates of dialetheic theories have argued them to be better than theories that restrict excluded middle, for instance over issues related to the incompleteness theorems and in avoiding revenge problems. Field argues that dialetheists’ claims on behalf of their theories are quite unfounded, and indeed that on some of these issues all current versions of dialetheism do substantially worse than the best theories that restrict excluded middle.
Author: Keith Simmons
Publisher: Oxford University Press
ISBN: 0192509195
Category : Philosophy
Languages : en
Pages : 260
Get Book Here
Book Description
This book aims to provide a solution to the semantic paradoxes. It argues for a unified solution to the paradoxes generated by our concepts of denotation, predicate extension, and truth. The solution makes two main claims. The first is that our semantic expressions 'denotes', 'extension' and 'true' are context-sensitive. The second, inspired by a brief, tantalizing remark of Gödel's, is that these expressions are significant everywhere except for certain singularities, in analogy with division by zero. A formal theory of singularities is presented and applied to a wide variety of versions of the definability paradoxes, Russell's paradox, and the Liar paradox. Keith Simmons argues that the singularity theory satisfies the following desiderata: it recognizes that the proper setting of the semantic paradoxes is natural language, not regimented formal languages; it minimizes any revision to our semantic concepts; it respects as far as possible Tarski's intuition that natural languages are universal; it responds adequately to the threat of revenge paradoxes; and it preserves classical logic and semantics. Simmons draws out the consequences of the singularity theory for deflationary views of our semantic concepts, and concludes that if we accept the singularity theory, we must reject deflationism.
Author: Harald Haarmann
Publisher: Georg Olms Verlag
ISBN: 3487155427
Category : Philosophy
Languages : en
Pages : 373
Get Book Here
Book Description
Platon zählt zu den einflussreichsten Philosophen aller Zeiten. Er beeinflusste maßgeblich Profil und Kanon der westlichen Philosophie. Die Kritik am sogenannten Platonismus wurde kontinuierlich von den Schwierigkeiten gespeist, die die Interpretation der philosophischen Schriften Platons bereitet. Gemeinhin wird er als rein rationaler Philosoph gesehen. Ein Philosoph war er in der Tat, ebenso jedoch ein Experte in der Annäherung an das Nicht-Rationale, unter anderem in Form von Mythen. So wurde er auch als "Mythenerfinder" und "Mythologe" bezeichnet. Platon war ein Visionär, der es wagte, das Reich des Nicht-Rationalen auf systematische und disziplinierte Art zu erforschen. Insgesamt lässt sich Platons philosophisches Vorhaben als Streben nach einer umfassenden Sicht des organischen Ganzen klassifizieren. Der Ausdruck „Gestalt“ scheint die Ganzheit am ehesten zu beschreiben. Platon kann als prominentester und auch als letzter Repräsentant der antiken Philosophie angesehen werden, der die Entwicklung einer Gestalt-Philosophie anstrebte. Plato is one of the most influential philosophers of all time. He decisively shaped the profile and canon of western philosophy. Criticism of what has become known as Platonism has been continuously nourished by the difficulties of interpreting this philosopher's writings. Plato is commonly viewed as a purely rational philosopher. A philosopher he was indeed, but Plato was also an expert in approaching the non-rational, in the form of mythology among others. Plato has been called a "mythmaker" and a "mythologist". Plato was a visionary who dared to explore the realm of the non-rational in a systematic and disciplined way. In an overall comparison, Plato's philosophical enterprise strives for a comprehensive perspective on the organic whole. The expression "Gestalt" seems to come closest to describing the wholeness. Plato may be considered to be the most prominent representative of classical philosophy to develop a Gestalt philosophy and also the last to do so in antiquity.
Author: Marcel Danesi
Publisher: Springer Nature
ISBN: 3031315820
Category : Mathematics
Languages : en
Pages : 180
Get Book Here
Book Description
This book treats eighteenth-century Italian philosopher Giambattista Vico’s theory of poetic logic for the first time as the originating force in mathematics, transforming instinctive counting and spatial perception into poetic (metaphorical) symbolism that dovetails with the origin of language. It looks at current work on mathematical cognition (from Lakoff and Núñez to Butterworth, Dehaene, and beyond), matching it against the poetic logic paradigm. In a sense, it continues from where Kasner and Newman left off, connecting contemporary research on the mathematical mind to the idea that the products of early mathematics were virtually identical to the first forms of poetic language. As such, this book informs the current research on mathematical cognition from a different angle, by looking back at a still relatively unknown philosopher within mathematics. The aim of this volume is to look broadly at what constitutes the mathematical mind through the Vichian lens of poetic logic. Vico was among the first to suggest that the essential nature of mind could be unraveled indirectly by reconstructing the sources of its “modifications” (his term for “creations”); that is, by examining the creation and function of symbols, words, and all the other uniquely human artifacts—including mathematics—the mind has allowed humans to establish “the world of civil society,” Vico’s term for culture and civilization. The book is of interest to cognitive scientists working on math cognition. It presents the theory of poetic logic as Vico articulated it in his book The New Science, examining its main premises and then applying it to an interpretation of the ongoing work in math cognition. It will also be of interest to the general public, since it presents a history of early mathematics through the lens of an idea that has borne fruit in understanding the origin of language and symbols more broadly.
Author: Keith Simmons
Publisher: Oxford University Press
ISBN: 0198791542
Category : Language Arts & Disciplines
Languages : en
Pages : 260
Get Book Here
Book Description
This book aims to provide a solution to the semantic paradoxes. It argues for a unified solution to the paradoxes generated by our concepts of denotation, predicate extension, and truth. The solution makes two main claims. The first is that our semantic expressions 'denotes', 'extension' and 'true' are context-sensitive. The second, inspired by a brief, tantalizing remark of Godel's, is that these expressions are significant everywhere except for certain singularities, in analogy with division by zero. A formal theory of singularities is presented and applied to a wide variety of versions of the definability paradoxes, Russell's paradox, and the Liar paradox. Keith Simmons argues that the singularity theory satisfies the following desiderata: it recognizes that the proper setting of the semantic paradoxes is natural language, not regimented formal languages; it minimizes any revision to our semantic concepts; it respects as far as possible Tarski's intuition that natural languages are universal; it responds adequately to the threat of revenge paradoxes; and it preserves classical logic and semantics. Simmons draws out the consequences of the singularity theory for deflationary views of our semantic concepts, and concludes that if we accept the singularity theory, we must reject deflationism.
Author: Keith Simmons
Publisher: Cambridge University Press
ISBN: 9780521061391
Category : Philosophy
Languages : en
Pages : 0
Get Book Here
Book Description
This book is about one of the most baffling of all paradoxes--the famous Liar paradox. Suppose we say: "We are lying now." Then if we are lying, we are telling the truth; and if we are telling the truth we are lying. This paradox is more than an intriguing puzzle, since it involves the concept of truth. Thus any coherent theory of truth must deal with the Liar. Keith Simmons discusses the solutions proposed by medieval philosophers and offers his own solutions and in the process assesses other contemporary attempts to solve the paradox. Unlike such attempts, Simmons' "singularity" solution does not abandon classical semantics and does not appeal to the kind of hierarchical view found in Barwise's and Etchemendy's The Liar. Moreover, Simmons' solution resolves the vexing problem of semantic universality--the problem of whether there are semantic concepts beyond the expressive reach of a natural language such as English.
Author: Jon Barwise
Publisher: Oxford University Press
ISBN: 0195059441
Category : Language Arts & Disciplines
Languages : en
Pages : 207
Get Book Here
Book Description
Bringing together powerful new tools from set theory and the philosophy of language, this book proposes a solution to one of the few unresolved paradoxes from antiquity, the Paradox of the Liar. Barwise and Etchemendy model and compare Russellian and Austinian conceptions of propositions, and develop a range of model-theoretic techniques--based on Aczel's work--that open up new avenues in logical and formal semantics.
Author: Scott Soames
Publisher:
ISBN: 9780195123357
Category : Philosophy
Languages : en
Pages : 288
Get Book Here
Book Description
The author of this text explores the notion of truth and its role in our ordinary thought, as well as in logical philosophical and scientific theories.
Author: Piotr Stalmaszczyk
Publisher:
ISBN: 110849238X
Category : Language Arts & Disciplines
Languages : en
Pages : 831
Get Book Here
Book Description
A comprehensive guide to contemporary investigations into the relationship between language, philosophy, and linguistics.
