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Book
The logic of entailment and its history
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ISBN: 9781009375283 1009375288 9781009375313 9781009375276 1009375296 1009375318 9781009375290 Year: 2024 Publisher: Cambridge Cambridge University Press

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What follows from what, and how do we make statements (whether true or false) about which inferences are correct? In this book, Edwin Mares provides a new philosophical, semantical and historical analysis of and justification for the relevant logic of entailment. In the first half of the book he examines some key ideas in the historical development of the logic of entailment, looking in particular at the notion 'is derivable from' and at how symbolic logic has attempted to capture this notion. In the second half of the book he develops his own theory connecting ideas from the traditions in mathematical logic with some ideas in the philosophy of science. The book's fresh and original perspective on the logic of entailment will be valuable for all who want to know more about the historical and philosophical origins of modern symbolic logic.

Topics in the logic of relevance
Author:
ISBN: 3884050036 9783884050033 Year: 1981 Publisher: München: Philosophia,

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Book
Formal sentential entailment
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ISBN: 0819103136 Year: 1977 Publisher: Washington, D.C. : University Press of America,

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Book
Entailment : the logic of relevance and necessity
Authors: --- --- ---
ISBN: 0691073392 0691071926 9780691071923 9780691073392 0691600422 0691654646 1400887070 Year: 1992 Publisher: Princeton (N.J.): Princeton university press,

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Aristotle's modal logic: essence and entailment in the Organon
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ISBN: 052145168X 0521522331 0511609019 0511884184 Year: 1995 Publisher: Cambridge Cambridge University Press

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Aristotle's Modal Logic, first published in 1995, presents an interpretation of Aristotle's logic by arguing that a proper understanding of the system depends on an appreciation of its connection to the metaphysics. Richard Patterson develops three striking theses in the book. First, there is a fundamental connection between Aristotle's logic of possibility and necessity, and his metaphysics, and that this connection extends far beyond the widely recognised tie to scientific demonstration and relates to the more basic distinction between the essential and accidental properties of a subject. Second, Aristotle's views on modal logic depend in very significant ways on his metaphysics without entailing any sacrifice in rigour. Third, once one has grasped the nature of the relationship, one can understand better certain genuine difficulties in the system of logic and appreciate its strengths in terms of the purposes for which it was created.


Book
New Essays on Belnap-­Dunn Logic
Authors: ---
ISBN: 3030311368 303031135X Year: 2019 Publisher: Cham : Springer International Publishing : Imprint: Springer,

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This edited volume collects essays on the four-valued logic known as Belnap-Dunn logic, or first-degree entailment logic (FDE). It also looks at various formal systems closely related to it. These include the strong Kleene logic and the Logic of Paradox. Inside, readers will find reprints of seminal papers written by the fathers of the field: Nuel Belnap and Michael Dunn. In addition, the collection also features a well-known but previously unpublished manuscript of Dunn, an interview with Belnap, and a new essay by Dunn. Besides the original, monumental papers, the book also includes research by leading scholars. They consider the extraordinary importance of Belnap-Dunn logic from several perspectives. They look at how, philosophically, it has served as a basic system of inconsistency-tolerant reasoning, as the core of underlying logics for theories based on dialetheism, and, more recently, for theories based on Buddhist philosophy. Coverage also explores its contributions to computer science, such as knowledge representation and information processing. This mix of seminal papers and insightful analysis by top scholars offers readers a comprehensive outlook on Belnap-Dunn logic and its related expansions, which have been agenda setting for the debate on philosophical logic as well as philosophy of logic. The book will also enhance further discussion on the philosophical issues related to nonclassical logics in general.

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