Download or read book A Sourcebook for Classical Logic written by John Tomarchio and published by CUA Press. This book was released on 2022-12-23 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The sequence is made up of select texts of the Aristotelian Organon, mostly the opening chapters of each treatise, in the traditional order, where Aristotle lays out the primary elements of reasoning. Study aids accompany these primary texts..." [taken from back cover]

Download or read book Classical and Nonclassical Logics written by Eric Schechter and published by Princeton University Press. This book was released on 2005-08-28 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt: Classical logic is traditionally introduced by itself, but that makes it seem arbitrary and unnatural. This text introduces classical alongside several nonclassical logics (relevant, constructive, quantative, paraconsistent).

Download or read book From Frege to G del written by Jean van Heijenoort and published by Harvard University Press. This book was released on 1967 with total page 684 pages. Available in PDF, EPUB and Kindle. Book excerpt: Gathered together here are the fundamental texts of the great classical period in modern logic. A complete translation of Gottlob Frege’s Begriffsschrift—which opened a great epoch in the history of logic by fully presenting propositional calculus and quantification theory—begins the volume, which concludes with papers by Herbrand and by Gödel.

Download or read book The Philosophy of the Commentators 200 600 AD Psychology with ethics and religion written by Richard Sorabji and published by Cornell University Press. This book was released on 2005 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: The third volume of this invaluable sourcebook covers three main subject areas. First, the metaphysics of Aristotle's logical works: the concepts of universal and particular underwent surprising transformations in this period, which gave rise to debates, still raging today, on personal survival after an interruption such as death. Second, logic in a more conventional sense: perhaps the most impressive debate was on the existence of the subject in singular and universal statements. There was also debate about the very different Aristotelian and Stoic conceptions of syllogism, of modal logic, of induction, of the nature of mathematics, and of philosophy of language. Third, the higher metaphysics of the Neoplatonists taught Augustine, and indirectly Descartes, to look for truth within themselves. The Neoplatonists struggled with the question whether our higher intellectual selves have distinct individuality, and thus they fed both sides in the great medieval debate between Aquinas and the followers of Averroes on individual human immortality. All sources appear in English translation and are carefully linked and cross-referenced by editorial comment and explanation. Bibliographies are provided throughout.

Download or read book Classical Mathematical Logic written by Richard L. Epstein and published by Princeton University Press. This book was released on 2011-12-18 with total page 545 pages. Available in PDF, EPUB and Kindle. Book excerpt: In Classical Mathematical Logic, Richard L. Epstein relates the systems of mathematical logic to their original motivations to formalize reasoning in mathematics. The book also shows how mathematical logic can be used to formalize particular systems of mathematics. It sets out the formalization not only of arithmetic, but also of group theory, field theory, and linear orderings. These lead to the formalization of the real numbers and Euclidean plane geometry. The scope and limitations of modern logic are made clear in these formalizations. The book provides detailed explanations of all proofs and the insights behind the proofs, as well as detailed and nontrivial examples and problems. The book has more than 550 exercises. It can be used in advanced undergraduate or graduate courses and for self-study and reference. Classical Mathematical Logic presents a unified treatment of material that until now has been available only by consulting many different books and research articles, written with various notation systems and axiomatizations.

Download or read book Three Views of Logic written by Donald W. Loveland and published by Princeton University Press. This book was released on 2014-01-26 with total page 339 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first interdisciplinary textbook to introduce students to three critical areas in applied logic Demonstrating the different roles that logic plays in the disciplines of computer science, mathematics, and philosophy, this concise undergraduate textbook covers select topics from three different areas of logic: proof theory, computability theory, and nonclassical logic. The book balances accessibility, breadth, and rigor, and is designed so that its materials will fit into a single semester. Its distinctive presentation of traditional logic material will enhance readers' capabilities and mathematical maturity. The proof theory portion presents classical propositional logic and first-order logic using a computer-oriented (resolution) formal system. Linear resolution and its connection to the programming language Prolog are also treated. The computability component offers a machine model and mathematical model for computation, proves the equivalence of the two approaches, and includes famous decision problems unsolvable by an algorithm. The section on nonclassical logic discusses the shortcomings of classical logic in its treatment of implication and an alternate approach that improves upon it: Anderson and Belnap's relevance logic. Applications are included in each section. The material on a four-valued semantics for relevance logic is presented in textbook form for the first time. Aimed at upper-level undergraduates of moderate analytical background, Three Views of Logic will be useful in a variety of classroom settings. Gives an exceptionally broad view of logic Treats traditional logic in a modern format Presents relevance logic with applications Provides an ideal text for a variety of one-semester upper-level undergraduate courses

Download or read book Classical Arabic Philosophy written by and published by Hackett Publishing. This book was released on 2007-03-15 with total page 462 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume introduces the major classical Arabic philosophers through substantial selections from the key works (many of which appear in translation for the first time here) in each of the fields--including logic, philosophy of science, natural philosophy, metaphysics, ethics, and politics--to which they made significant contributions. An extensive Introduction situating the works within their historical, cultural, and philosophical contexts offers support to students approaching the subject for the first time, as well as to instructors with little or no formal training in Arabic thought. A glossary, select bibliography, and index are also included.

Download or read book Roman Religion written by Valerie M. Warrior and published by Cambridge University Press. This book was released on 2006-10-16 with total page 251 pages. Available in PDF, EPUB and Kindle. Book excerpt: Examining sites that are familiar to many modern tourists, Valerie Warrior avoids imposing a modern perspective on the topic by using the testimony of the ancient Romans to describe traditional Roman religion. The ancient testimony recreates the social and historical contexts in which Roman religion was practised. It shows, for example, how, when confronted with a foreign cult, official traditional religion accepted the new cult with suitable modifications. Basic difficulties, however, arose with regard to the monotheism of the Jews and Christianity. Carefully integrated with the text are visual representations of divination, prayer, and sacrifice as depicted on monuments, coins, and inscriptions from public buildings and homes throughout the Roman world. Also included are epitaphs and humble votive offerings that illustrate the piety of individuals, and that reveal the prevalence of magic and the occult in the spiritual lives of the ancient Romans.

Download or read book The Blackwell Guide to Philosophical Logic written by Lou Goble and published by Wiley-Blackwell. This book was released on 2001-08-30 with total page 510 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents a definitive introduction to twenty core areas of philosophical logic including classical logic, modal logic, alternative logics and close examinations of key logical concepts. The chapters, written especially for this volume by internationally distinguished logicians, philosophers, computer scientists and linguists, provide comprehensive studies of the concepts, motivations, methods, formal systems, major results and applications of their subject areas. The Blackwell Guide to Philosophical Logic engages both general readers and experienced logicians and provides a solid foundation for further study.

Download or read book The Philosophy of the Commentators 200 600 AD Physics written by Richard Sorabji and published by Bristol Classical Press. This book was released on 2004 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a sourcebook that draws upon the 400 years of transition from ancient Greek philosophy to the medieval philosophy of Islam and the West. Philosophy was then often written in the form of commentaries on the works of Plato and Aristotle. Many ideas wrongly credited to the Middle Ages derive from this period, e.g. that of impetus in dynamics and intentional objects in philosophy of mind. The later Neoplatonist commentators fought a losing battle with Christianity, but inadvertently made Aristotle acceptable to Christians by ascribing to him belief in a Creator God and human immortality. They also provided a panorama of up to 1000 years of preceding Greek philosophy, much of it otherwise lost. They serve as the missing link essential for understanding the history of Western philosophy. The physics of the commentators was innovatory. The Neoplatonists among them thought that the world of space and time was causally ordered by a non-spatial, non-temporal world, and this required original thinking. Of the sixth-century Neoplatonists, Simplicius considered his teacher's ideas on space and time to be unprecedented, and Philoponus revised Aristotelianism, to produce a new physics built around the Christian belief in God's creation of the world. The Middle Ages borrowed from Philoponus and other commentators, the proofs of a finite past, the idea of degrees of latitude in change and mixture, and in dynamics the idea of impetus and the defence of motion in a vacuum. All sources appear in English translation and are carefully linked and cross-referenced by editorial comment and explanation.

Download or read book Race and Ethnicity in the Classical World written by and published by Hackett Publishing. This book was released on 2013-09-15 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: By offering fluent, accurate translations of extracts and fragments from a wide assortment of ancient texts, this volume allows a comprehensive overview of ancient Greek and Roman concepts of otherness, as well as Greek and Roman views of non-Greeks and non-Romans. A general introduction, thorough annotation, maps, a select bibliography, and an index are also included.

Download or read book A Sourcebook in Classical Confucian Philosophy written by Roger T. Ames and published by State University of New York Press. This book was released on 2023-09-01 with total page 653 pages. Available in PDF, EPUB and Kindle. Book excerpt: Roger T. Ames's A Sourcebook in Classical Confucian Philosophy is a companion volume to his Conceptual Lexicon for Classical Confucian Philosophy. It includes texts in the original classical Chinese along with their translations, allowing experts and novices alike to make whatever comparisons they choose. In applying a method of comparative cultural hermeneutics, Ames has tried to let the tradition speak on its own terms. The goal is to encourage readers to move between the translated text and commentary, the philosophical introduction that attempts to sensitize them to the interpretative context, and the companion Lexicon of key philosophical terms, with the expectation that in the fullness of time they will be able to appropriate the original Chinese terminologies themselves. Armed with their own increasingly robust insight into these philosophical terms, readers will be able to carry this nuanced understanding over into their critical reading of other available translations. Ultimately, for students who would understand Chinese philosophy, tian 天 must be understood as tian 天, and dao 道 must be dao 道.

Download or read book Games for Your Mind written by Jason Rosenhouse and published by Princeton University Press. This book was released on 2020-11-24 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: A lively and engaging look at logic puzzles and their role in mathematics, philosophy, and recreation Logic puzzles were first introduced to the public by Lewis Carroll in the late nineteenth century and have been popular ever since. Games like Sudoku and Mastermind are fun and engrossing recreational activities, but they also share deep foundations in mathematical logic and are worthy of serious intellectual inquiry. Games for Your Mind explores the history and future of logic puzzles while enabling you to test your skill against a variety of puzzles yourself. In this informative and entertaining book, Jason Rosenhouse begins by introducing readers to logic and logic puzzles and goes on to reveal the rich history of these puzzles. He shows how Carroll's puzzles presented Aristotelian logic as a game for children, yet also informed his scholarly work on logic. He reveals how another pioneer of logic puzzles, Raymond Smullyan, drew on classic puzzles about liars and truthtellers to illustrate Kurt Gödel's theorems and illuminate profound questions in mathematical logic. Rosenhouse then presents a new vision for the future of logic puzzles based on nonclassical logic, which is used today in computer science and automated reasoning to manipulate large and sometimes contradictory sets of data. Featuring a wealth of sample puzzles ranging from simple to extremely challenging, this lively and engaging book brings together many of the most ingenious puzzles ever devised, including the "Hardest Logic Puzzle Ever," metapuzzles, paradoxes, and the logic puzzles in detective stories.

Download or read book Sun Moon and Earth written by Robin Heath and published by Bloomsbury Publishing USA. This book was released on 2001-04-01 with total page 66 pages. Available in PDF, EPUB and Kindle. Book excerpt: Explores the cycles of the sun and moon and discusses early calendars and the work of ancient astronomers and mathematicians.

Download or read book An Introduction to Mathematical Logic written by Richard E. Hodel and published by Courier Corporation. This book was released on 2013-01-01 with total page 514 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive overview ofmathematical logic is designedprimarily for advanced undergraduatesand graduate studentsof mathematics. The treatmentalso contains much of interest toadvanced students in computerscience and philosophy. Topics include propositional logic;first-order languages and logic; incompleteness, undecidability,and indefinability; recursive functions; computability;and Hilbert’s Tenth Problem.Reprint of the PWS Publishing Company, Boston, 1995edition.

Download or read book Handbook of Logical Thought in India written by Sundar Sarukkai and published by Springer Nature. This book was released on 2022-11-04 with total page 1339 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection of articles is unique in the way it approaches established material on the various logical traditions in India. Instead of classifying these traditions within Schools as is the usual approach, the material here is classified into sections based on themes ranging from Fundamentals of ancient logical traditions to logic in contemporary mathematics and computer science. This collection offers not only an introduction to the key themes in different logical traditions such as Nyaya, Buddhist and Jaina, it also highlights certain unique characteristics of these traditions as well as contribute new material in the relationship of logic to aesthetics, linguistics, Kashmir Saivism as well as the forgotten Tamil contribution to logic.

Download or read book Two Applications of Logic to Mathematics written by Gaisi Takeuti and published by Princeton University Press. This book was released on 2015-03-08 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt: Using set theory in the first part of his book, and proof theory in the second, Gaisi Takeuti gives us two examples of how mathematical logic can be used to obtain results previously derived in less elegant fashion by other mathematical techniques, especially analysis. In Part One, he applies Scott- Solovay's Boolean-valued models of set theory to analysis by means of complete Boolean algebras of projections. In Part Two, he develops classical analysis including complex analysis in Peano's arithmetic, showing that any arithmetical theorem proved in analytic number theory is a theorem in Peano's arithmetic. In doing so, the author applies Gentzen's cut elimination theorem. Although the results of Part One may be regarded as straightforward consequences of the spectral theorem in function analysis, the use of Boolean- valued models makes explicit and precise analogies used by analysts to lift results from ordinary analysis to operators on a Hilbert space. Essentially expository in nature, Part Two yields a general method for showing that analytic proofs of theorems in number theory can be replaced by elementary proofs. Originally published in 1978. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.