Logic
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The Idea of Principle in Leibnitz and the Evolution of Deductive TheoryOrtega begins with a detailed definition of a principle and with an examination of the specific principles formulated by Leibnitz. He goes on to examine Leibnitz. He goes on to examine Leibnitz's complex and mercurial attitudes towards principles and discusses the effects of these...
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Principles of MathematicsHis ideas have had a profound influence on twentieth-century work on logic and the foundations of mathematics.Author: Bertrand RussellPublisher: W. W. Norton & CompanyPublished: 02/01/1996Pages: 576Binding Type: PaperbackWeight: 1.11lbsSize: 8.25h x 5.54w x 1.06dISBN: 9780393314045About the AuthorRussell, Bertrand: - Bertrand Russell (1872-1970) was born...
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Categories for the Working MathematicianThis new edition of Categories for the Working Mathematician includes a number of revisions and additions, including two new chapters on topics of active interest. One is on symmetric monoidal categories and braided monoidal categories and the coherence theorems for them. The second describes...
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A Transition to Proof: An Introduction to Advanced MathematicsA Transition to Proof: An Introduction to Advanced Mathematics describes writing proofs as a creative process. There is a lot that goes into creating a mathematical proof before writing it. Ample discussion of how to figure out the "nuts and bolts'" of the proof...
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The New Rhetoric: A Treatise on ArgumentationThe New Rhetoric is founded on the idea that since "argumentation aims at securing the adherence of those to whom it is addressed, it is, in its entirety, relative to the audience to be influenced," says Chaïm Perelman and L. Olbrechts-Tyteca, and they rely,...
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A Logical JourneyHao Wang (1921-1995) was one of the few confidants of the great mathematician and logician Kurt G del. A Logical Journey is a continuation of Wang's Reflections on G del and also elaborates on discussions contained in From Mathematics to Philosophy. A decade in...
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The Little ProverAn introduction to writing proofs about computer programs, written in an accessible question-and-answer style, complete with step-by-step examples and a simple proof assistant.The Little Prover introduces inductive proofs as a way to determine facts about computer programs. It is written in an approachable, engaging...
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Plato's SophistThis volume reconstructs Martin Heidegger's lecture course at the University of Marburg in the winter semester of 1924-25, which was devoted to an interpretation of Plato and Aristotle. Published for the first time in German in 1992 as volume 19 of Heidegger's Collected Works,...
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Introduction to LogicWith clear explanations and many contemporary examples drawn from popular culture and everyday life, author Paul Herrick untangles the complexities of logical theory in Introduction to Logic. Offering a unique combination of two approaches--the historical and the technical--he presents logic as both a fascinating,...
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One True Logic: A Monist ManifestoLogical monism is the claim that there is a single correct logic, the 'one true logic' of our title. The view has evident appeal, as it reflects assumptions made in ordinary reasoning as well as in mathematics, the sciences, and the law. In all...
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The Foundations of MathematicsThe transition from school mathematics to university mathematics is seldom straightforward. Students are faced with a disconnect between the algorithmic and informal attitude to mathematics at school, versus a new emphasis on proof, based on logic, and a more abstract development of general concepts,...
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The Last WordIf there is such a thing as reason, it has to be universal. Reason must reflect objective principles whose validity is independent of our point of view--principles that anyone with enough intelligence ought to be able to recognize as correct. But this generality of...
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Elements of Set TheoryThis is an introductory undergraduate textbook in set theory. In mathematics these days, essentially everything is a set. Some knowledge of set theory is necessary part of the background everyone needs for further study of mathematics. It is also possible to study set theory...
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Higher-Order Logic and Type TheoryAuthor: John L. BellPublisher: Cambridge University PressPublished: 03/31/2022Pages: 88Binding Type: PaperbackWeight: 0.28lbsSize: 9.00h x 6.00w x 0.18dISBN: 9781108986908This title is not returnable
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Homogeneous Ordered Graphs, Metrically Homogeneous Graphs, and BeyondThis is the first of two volumes by Professor Cherlin presenting the state of the art in the classification of homogeneous structures in binary languages and related problems in the intersection of model theory and combinatorics. Researchers and graduate students in the area will...
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Combinatory Logic; 1This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it.This work is in the public domain in the United States of America, and possibly other nations. Within the United States,...
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Handbook of Formal Argumentation, Volume 2The Handbook of Formal Argumentation is a community effort aimed at providing a comprehensive and up-to-date view of the state of the art and current trends in the lively research field of formal argumentation. In recent years, this field has matured to a central...
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Solvable Cases of the Decision ProblemThis work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it.This work is in the public domain in the United States of America, and possibly other nations. Within the United States,...
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The Vocabulary of Critical ThinkingThe Vocabulary of Critical Thinking offers an innovative way to improve students' thinking skills. It begins at a practical level by helping students master the crucial terms that are the building blocks of critical thinking--terms such as "generalization," "inferring," "to confirm," "justifying," "assumption," and...
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Straw Man Arguments: A Study in Fallacy TheoryThis book analyses the straw man fallacy and its deployment in philosophical reasoning. While commonly invoked in both academic dialogue and public discourse, it has not until now received the attention it deserves as a rhetorical device. Scott Aikin and John Casey propose that...
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