The Many Valued and Non-monotonic Turn in Logic 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024


The Many Valued and Non-monotonic Turn in Logic

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Gabbay, Dov M. (EDT)/ Woods, John Hayden (EDT) 作者
Elsevier Science Ltd
譯者
2007-8 出版日期
690 頁數
$ 282.50 價格
HRD
Handbook of the History of Logic 叢書系列
9780444516237 圖書編碼

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The Many Valued and Non-monotonic Turn in Logic 在線電子書 epub 下載 mobi 下載 pdf 下載 txt 下載 2024

The Many Valued and Non-monotonic Turn in Logic 在線電子書 epub 下載 pdf 下載 mobi 下載 txt 下載 2024

The Many Valued and Non-monotonic Turn in Logic 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024



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The Many Valued and Non-monotonic Turn in Logic 在線電子書 著者簡介


The Many Valued and Non-monotonic Turn in Logic 在線電子書 著者簡介


The Many Valued and Non-monotonic Turn in Logic 在線電子書 pdf 下載 txt下載 epub 下載 mobi 在線電子書下載

The Many Valued and Non-monotonic Turn in Logic 在線電子書 圖書描述

The present volume of the "Handbook of the History of Logic" brings together two of the most important developments in 20th century non-classical logic. These are many-valuedness and non-monotonicity. On the one approach, in deference to vagueness, temporal or quantum indeterminacy or reference-failure, sentences that are classically non-bivalent are allowed as inputs and outputs to consequence relations. Many-valued, dialetheic, fuzzy and quantum logics are, among other things, principled attempts to regulate the flow-through of sentences that are neither true nor false. On the second, or non-monotonic, approach, constraints are placed on inputs (and sometimes on outputs) of a classical consequence relation, with a view to producing a notion of consequence that serves in a more realistic way the requirements of real-life inference. Many-valued logics produce an interesting problem. Non-bivalent inputs produce classically valid consequence statements, for any choice of outputs. A major task of many-valued logics of all stripes is to fashion an appropriately non-classical relation of consequence. The chief preoccupation of non-monotonic (and default) logicians is how to constrain inputs and outputs of the consequence relation. In what is called 'left non-monotonicity', it is forbidden to add new sentences to the inputs of true consequence-statements. The restriction takes notice of the fact that new information will sometimes override an antecedently (and reasonably) derived consequence. In what is called 'right non-monotonicity', limitations are imposed on outputs of the consequence relation. Most notably, perhaps, is the requirement that the rule of or-introduction not be given free sway on outputs. Also prominent is the effort of paraconsistent logicians, both preservationist and dialetheic, to limit the outputs of inconsistent inputs, which in classical contexts are wholly unconstrained. In some instances, our two themes coincide. Dialetheic logics are a case in point. Dialetheic logics allow certain selected sentences to have, as a third truth value, the classical values of truth and falsity together. So such logics also admit classically inconsistent inputs. A central task is to construct a right non-monotonic consequence relation that allows for these many-valued, and inconsistent, inputs. "The Many Valued and Non-Monotonic Turn in Logic" is an indispensable research tool for anyone interested in the development of logic, including researchers, graduate and senior undergraduate students in logic, history of logic, mathematics, history of mathematics, computer science, AI, linguistics, cognitive science, argumentation theory, and the history of ideas. This book includes detailed and comprehensive chapters covering the entire range of modal logic. It contains the latest scholarly discoveries and interpretive insights that answers many questions in the field of logic.

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