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Author: Joe Salerno Publisher: OUP Oxford ISBN: 0191608688 Category : Philosophy Languages : en Pages : 392
Book Description
In 1945 Alonzo Church issued a pair of referee reports in which he anonymously conveyed to Frederic Fitch a surprising proof showing that wherever there is (empirical) ignorance there is also logically unknowable truth. Fitch published this and a generalization of the result in 1963. Ever since, philosophers have been attempting to understand the significance and address the counter-intuitiveness of this, the so-called paradox of knowability. This collection assembles Church's referee reports, Fitch's 1963 paper, and nineteen new papers on the knowability paradox. The contributors include logicians and philosophers from three continents, many of whom have already made important contributions to the discussion of the problem. The volume contains a general introduction to the paradox and the background literature, and is divided into seven sections that roughly mark the central points of debate. The sections include the history of the paradox, Michael Dummett's constructivism, issues of paraconsistency, developments of modal and temporal logics, Cartesian restricted theories of truth, modal and mathematical fictionalism, and reconsiderations about how, and whether, we ought to construe an anti-realist theory of truth.
Author: Mitchell S. Green Publisher: Clarendon Press ISBN: 0191515728 Category : Philosophy Languages : en Pages : 260
Book Description
G. E. Moore famously observed that to assert, 'I went to the pictures last Tuesday but I don't believe that I did' would be 'absurd'. Moore calls it a 'paradox' that this absurdity persists despite the fact that what I say about myself might be true. Over half a century later, such sayings continue to perplex philosophers and other students of language, logic, and cognition. Ludwig Wittgenstein was fascinated by Moore's example, and the absurdity of Moore's saying was intensively discussed in the mid-20th century. Yet the source of the absurdity has remained elusive, and its recalcitrance has led researchers in recent decades to address it with greater care. In this definitive treatment of the problem of Moorean absurdity Green and Williams survey the history and relevance of the paradox and leading approaches to resolving it, and present new essays by leading thinkers in the area. Contributors Jonathan Adler, Bradley Armour-Garb, Jay D. Atlas, Thomas Baldwin, Claudio de Almeida, André Gallois, Robert Gordon, Mitchell Green, Alan Hájek, Roy Sorensen, John Williams
Author: Roy T Cook Publisher: OUP Oxford ISBN: 0191648388 Category : Philosophy Languages : en Pages : 205
Book Description
Roy T Cook examines the Yablo paradox—a paradoxical, infinite sequence of sentences, each of which entails the falsity of all others later than it in the sequence—with special attention paid to the idea that this paradox provides us with a semantic paradox that involves no circularity. The three main chapters of the book focus, respectively, on three questions that can be (and have been) asked about the Yablo construction. First we have the Characterization Problem, which asks what patterns of sentential reference (circular or not) generate semantic paradoxes. Addressing this problem requires an interesting and fruitful detour through the theory of directed graphs, allowing us to draw interesting connections between philosophical problems and purely mathematical ones. Next is the Circularity Question, which addresses whether or not the Yablo paradox is genuinely non-circular. Answering this question is complicated: although the original formulation of the Yablo paradox is circular, it turns out that it is not circular in any sense that can bear the blame for the paradox. Further, formulations of the paradox using infinitary conjunction provide genuinely non-circular constructions. Finally, Cook turns his attention to the Generalizability Question: can the Yabloesque pattern be used to generate genuinely non-circular variants of other paradoxes, such as epistemic and set-theoretic paradoxes? Cook argues that although there are general constructions-unwindings—that transform circular constructions into Yablo-like sequences, it turns out that these sorts of constructions are not 'well-behaved' when transferred from semantic puzzles to puzzles of other sorts. He concludes with a short discussion of the connections between the Yablo paradox and the Curry paradox.
Author: JC Beall Publisher: OUP Oxford ISBN: 0191528501 Category : Philosophy Languages : en Pages : 384
Book Description
The Liar paradox raises foundational questions about logic, language, and truth (and semantic notions in general). A simple Liar sentence like 'This sentence is false' appears to be both true and false if it is either true or false. For if the sentence is true, then what it says is the case; but what it says is that it is false, hence it must be false. On the other hand, if the statement is false, then it is true, since it says (only) that it is false. How, then, should we classify Liar sentences? Are they true or false? A natural suggestion would be that Liars are neither true nor false; that is, they fall into a category beyond truth and falsity. This solution might resolve the initial problem, but it beckons the Liar's revenge. A sentence that says of itself only that it is false or beyond truth and falsity will, in effect, bring back the initial problem. The Liar's revenge is a witness to the hydra-like nature of Liars: in dealing with one Liar you often bring about another. JC Beall presents fourteen new essays and an extensive introduction, which examine the nature of the Liar paradox and its resistance to any attempt to solve it. Written by some of the world's leading experts in the field, the papers in this volume will be an important resource for those working in truth studies, philosophical logic, and philosophy of language, as well as those with an interest in formal semantics and metaphysics.
Author: J. C. Beall Publisher: Oxford University Press ISBN: 9780199264803 Category : Philosophy Languages : en Pages : 369
Book Description
Logic is fundamental to thought and language. But which logical principles are correct? The paradoxes play a crucial role in answering that question. The so-called Liar and Heap paradoxes challenge our basic ideas about logic; at the very least, they teach us that the correct logical principles are not as obvious as common sense would have it. The essays in this volume, written by leading figures in the field, discuss novel thoughts about the paradoxes.
Author: Miguel de Unamuno Publisher: ISBN: 9781955190268 Category : Languages : en Pages :
Book Description
Essays, Paradoxes, Soliloquies is a new selection of Unamuno's essays from across two previously published collections, 1925's Essays and Soliloquies, translated by J. E. Crawford Flitch, and 1945's Perplexities and Paradoxes, translated by Stuart Gross. Here Unamuno forcefully and eloquently expresses his beliefs about religion, ethics, philosophy, and Spanish literature."What remain today are the argumentative Essays, perhaps the most living and enduring of all he wrote[.]" - Jorge Luis Borges
Author: Joe Salerno Publisher: OUP Oxford ISBN: 0191608688 Category : Philosophy Languages : en Pages : 392
Book Description
In 1945 Alonzo Church issued a pair of referee reports in which he anonymously conveyed to Frederic Fitch a surprising proof showing that wherever there is (empirical) ignorance there is also logically unknowable truth. Fitch published this and a generalization of the result in 1963. Ever since, philosophers have been attempting to understand the significance and address the counter-intuitiveness of this, the so-called paradox of knowability. This collection assembles Church's referee reports, Fitch's 1963 paper, and nineteen new papers on the knowability paradox. The contributors include logicians and philosophers from three continents, many of whom have already made important contributions to the discussion of the problem. The volume contains a general introduction to the paradox and the background literature, and is divided into seven sections that roughly mark the central points of debate. The sections include the history of the paradox, Michael Dummett's constructivism, issues of paraconsistency, developments of modal and temporal logics, Cartesian restricted theories of truth, modal and mathematical fictionalism, and reconsiderations about how, and whether, we ought to construe an anti-realist theory of truth.
Author: John Woods Publisher: Cambridge University Press ISBN: 9780521009348 Category : Mathematics Languages : en Pages : 384
Book Description
In a world plagued by conflict one might expect that the exact sciences of logic and mathematics would provide a safe harbor. In fact these disciplines are rife with internal divisions between different, often incompatible systems. This original book explores apparently intractable disagreements in logic and the foundations of mathematics and sets out conflict resolution strategies that evade these stalemates. This book makes an important contribution to such areas of philosophy as logic, philosophy of language and argumentation theory. It will also be of interest to mathematicians and computer scientists.
Author: Joe Salerno
Author: Mitchell S. Green
Author: Vann McGee
Author: Roy T Cook
Author: JC Beall
Author: John William Miller
Author: J. C. Beall
Author: Miguel de Unamuno
Author: Joe Salerno
Author: Sergi Oms
Author: John Woods