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Author : Nicholas J.J. Smith
Publisher : Princeton University Press
Page : 544 pages
File Size : 45,7 Mb
Release : 2012-04
Category : Philosophy
ISBN : 9780691151632
Provides an essential introduction to classical logic.
Author : Ken Levasseur,Al Doerr
Publisher : Lulu.com
Page : 574 pages
File Size : 42,8 Mb
Release : 2012-02-25
Category : Applied mathematics
ISBN : 9781105559297
Applied Discrete Structures, is a two semester undergraduate text in discrete mathematics, focusing on the structural properties of mathematical objects. These include matrices, functions, graphs, trees, lattices and algebraic structures. The algebraic structures that are discussed are monoids, groups, rings, fields and vector spaces. Website: http: //discretemath.org Applied Discrete Structures has been approved by the American Institute of Mathematics as part of their Open Textbook Initiative. For more information on open textbooks, visit http: //www.aimath.org/textbooks/. This version was created using Mathbook XML (https: //mathbook.pugetsound.edu/) Al Doerr is Emeritus Professor of Mathematical Sciences at UMass Lowell. His interests include abstract algebra and discrete mathematics. Ken Levasseur is a Professor of Mathematical Sciences at UMass Lowell. His interests include discrete mathematics and abstract algebra, and their implementation using computer algebra systems.
Author : Jaap Hage
Publisher : Springer Science & Business Media
Page : 280 pages
File Size : 46,9 Mb
Release : 2013-04-17
Category : Law
ISBN : 9789401588737
Rule-applying legal arguments are traditionally treated as a kind of syllogism. Such a treatment overlooks the fact that legal principles and rules are not statements which describe the world, but rather means by which humans impose structure on the world. Legal rules create legal consequences, they do not describe them. This has consequences for the logic of rule- and principle-applying arguments, the most important of which may be that such arguments are defeasible. This book offers an extensive analysis of the role of rules and principles in legal reasoning, which focuses on the close relationship between rules, principles, and reasons. Moreover, it describes a logical theory which assigns a central place to the notion of reasons for and against a conclusion, and which is especially suited to deal with rules and principles.
Author : Stephen M. Rice
Publisher : Aspen Publishing
Page : 429 pages
File Size : 44,5 Mb
Release : 2017-05-03
Category : Law
ISBN : 9781601566102
Have you ever read a legal opinion and come across an odd term like the fallacy of denying the antecedent, the fallacy of the undistributed middle, or the fallacy of the illicit process and wondered how you missed that in law school? You’re not alone: every day, lawyers make arguments that fatally trespass the rules of formal logic—without realizing it—because traditional legal education often overlooks imparting the practical wisdom of ancient philosophy as it teaches students how to “think like a lawyer.” In his book, The Force of Logic: Using Formal Logic as a Tool in the Craft of Legal Argument, lawyer and law professor Stephen M. Rice guides you to develop your powers of legal reasoning in a new way, through effective tips and tactics that will forever change the way you argue your cases. Rice contends that formal logic provides tools that help lawyers distinguish good arguments from bad ones and, moreover, that they are simple to learn and use. When you know how to recognize logical fallacies, you will not only strengthen your own arguments, but you will also be able to punch holes in your opponent’s—and that can make the difference between winning and losing. In this book, Rice builds on the theoretical foundation of formal logic by demonstrating logical fallacies through the use of anecdotes, examples, graphical illustrations, and exercises for you to try that are derived from common case documents. It is a hands-on primer that presents a practical approach for understanding and mastering the place of formal logic in the art of legal reasoning. Whether you are a lawyer, a judge, a scholar, or a student, The Force of Logic will inspire you to love legal argument, and appreciate its beauty and complexity in a brand new way.
Author : Jaroslav Peregrin,Vladimír Svoboda
Publisher : Routledge
Page : 193 pages
File Size : 45,9 Mb
Release : 2017-02-10
Category : Philosophy
ISBN : 9781315453910
This book offers a comprehensive account of logic that addresses fundamental issues concerning the nature and foundations of the discipline. The authors claim that these foundations can not only be established without the need for strong metaphysical assumptions, but also without hypostasizing logical forms as specific entities. They present a systematic argument that the primary subject matter of logic is our linguistic interaction rather than our private reasoning and it is thus misleading to see logic as revealing "the laws of thought". In this sense, fundamental logical laws are implicit to our "language games" and are thus more similar to social norms than to the laws of nature. Peregrin and Svoboda also show that logical theories, despite the fact that they rely on rules implicit to our actual linguistic practice, firm up these rules and make them explicit. By carefully scrutinizing the project of logical analysis, the authors demonstrate that logical rules can be best seen as products of the so called reflective equilibrium. They suggest that we can profit from viewing languages as "inferential landscapes" and logicians as "geographers" who map them and try to pave safe routes through them. This book is an essential resource for scholars and researchers engaged with the foundations of logical theories and the philosophy of language.
Author : L. Lindahl
Publisher : Springer Science & Business Media
Page : 311 pages
File Size : 53,9 Mb
Release : 2012-12-06
Category : Philosophy
ISBN : 9789401012027
The present study which I have subtitled A Study in Law and Logic was prompted by the question of whether an investigation into law and legal systems could lead to the discovery of unrevealed fundamental patterns common to all such systems. This question was further stimulated by two interrelated problems. Firstly, could an inquiry be rooted in specifically legal matters, as distinct from the more usual writings on deontic logic? Secondly, could such inquiry yield a theory which would nevertheless embrace a strict and simple logical structure, permitting substantive conclusions in legal matters to be deduced from simple rules governing some basic concepts? Before the development of deontic logic, W. N. Hohfeld devoted his efforts to this question at the beginning of this century. However, with this exception, few jurists have studied the interrelation between law and logic projected in this way. Nevertheless, two great names are to be found, Gottfried Wilhelm Leibniz and Jeremy Bentham-both philo sophers with legal as weIl as logical training. Bentham's investigations of logical patterns in law have only recently attracted attention; and as for Leibniz, his achievements are still almost totally unexplored (his most important writings on law and logic have not even been translated from Latin). My initial interest in the question was evoked by Professor Stig Kanger. Although primarily a logician and philosopher, Stig Kanger has been interested also in the fundamentals of legal theory.
Author : Alfred North Whitehead,Bertrand Russell
Publisher : Cambridge University Press
Page : 524 pages
File Size : 51,6 Mb
Release : 1927
Category : Mathematics
ISBN : 052106791X
The Principia Mathematica has long been recognised as one of the intellectual landmarks of the century.
Author : Craig DeLancey
Publisher : Open SUNY Textbooks
Page : 128 pages
File Size : 48,9 Mb
Release : 2017-02-06
Category : Electronic
ISBN : 1942341431
Author : George Boole
Publisher : Unknown
Page : 476 pages
File Size : 46,6 Mb
Release : 1854
Category : Investigation
ISBN : STANFORD:36105004531070
Author : Denise Eide
Publisher : Logic of English, Inc
Page : 204 pages
File Size : 45,5 Mb
Release : 2011-01-27
Category : Education
ISBN : 9781936706075
"English is so illogical!" It is generally believed that English is a language of exceptions. For many, learning to spell and read is frustrating. For some, it is impossible... especially for the 29% of Americans who are functionally illiterate. But what if the problem is not the language itself, but the rules we were taught? What if we could see the complexity of English as a powerful tool rather than a hindrance? --Denise Eide Uncovering the Logic of English challenges the notion that English is illogical by systematically explaining English spelling and answering questions like "Why is there a silent final E in have, large, and house?" and "Why is discussion spelled with -sion rather than -tion?" With easy-to-read examples and anecdotes, this book describes: - the phonograms and spelling rules which explain 98% of English words - how English words are formed and how this knowledge can revolutionize vocabulary development - how understanding the reasons behind English spelling prevents students from needing to guess The author's inspiring commentary makes a compelling case that understanding the logic of English could transform literacy education and help solve America's literacy crisis. Thorough and filled with the latest linguistic and reading research, Uncovering the Logic of English demonstrates why this systematic approach should be as foundational to our education as 1+1=2.
Author : H. Patrick Glenn,Lionel D. Smith
Publisher : Cambridge University Press
Page : 301 pages
File Size : 43,6 Mb
Release : 2017-01-26
Category : Law
ISBN : 9781107106956
This book explores relationships between law and legal reasoning, and recent developments in formal logic.
Author : George Boole
Publisher : Unknown
Page : 472 pages
File Size : 40,5 Mb
Release : 1952
Category : Logic, Symbolic and mathematical
ISBN : PSU:000004262954
Author : Michał Araszkiewicz,Krzysztof Płeszka
Publisher : Springer
Page : 556 pages
File Size : 42,6 Mb
Release : 2015-10-05
Category : Law
ISBN : 9783319195759
This book presents the current state of the art regarding the application of logical tools to the problems of theory and practice of lawmaking. It shows how contemporary logic may be useful in the analysis of legislation, legislative drafting and legal reasoning concerning different contexts of law making. Elaborations of the process of law making have variously emphasised its political, social or economic aspects. Yet despite strong interest in logical analyses of law, questions remains about the role of logical tools in law making. This volume attempts to bridge that gap, or at least to narrow it, drawing together some important research problems—and some possible solutions—as seen through the work of leading contemporary academics. The volume encompasses 20 chapters written by authors from 16 countries and it presents diversified views on the understanding of logic (from strict mathematical approaches to the informal, argumentative ones) and differentiated choices concerning the aspects of law making taken into account. The book presents a broad set of perspectives, insights and results into the emerging field of research devoted to the logical analysis of the area of creation of law. How does logic inform lawmaking? Are legal systems consistent and complete? How can legal rules be represented by means of formal calculi and visualization techniques? Does the structure of statutes or of legal systems resemble the structure of deductive systems? What are the logical relations between the basic concepts of jurisprudence that constitute the system of law? How are theories of legal interpretation relevant to the process of legislation? How might the statutory text be analysed by means of contemporary computer programs? These and other questions, ranging from the theoretical to the immediately practical, are addressed in this definitive collection.
Author : Merrie Bergmann,James Moor,Jack Nelson
Publisher : McGraw-Hill Humanities/Social Sciences/Languages
Page : 0 pages
File Size : 48,8 Mb
Release : 2008-07-30
Category : Philosophy
ISBN : 007353563X
This leading text for symbolic or formal logic courses presents all techniques and concepts with clear, comprehensive explanations, and includes a wealth of carefully constructed examples. Its flexible organization (with all chapters complete and self-contained) allows instructors the freedom to cover the topics they want in the order they choose.
Author : Max Radin
Publisher : The Lawbook Exchange, Ltd.
Page : 196 pages
File Size : 40,8 Mb
Release : 2000
Category : Experience
ISBN : 9781584770084
Radin, Max. Law as Logic and Experience. New Haven: Yale University Press, 1940. ix, [1], 171 pp. Reprinted 2000 by The Lawbook Exchange, Ltd. LCCN 99-30670. ISBN 1-58477-008-2. Cloth. $55. * "Although this volume does not purport to be a serious contribution to legal science or to legal philosophy, it is full of the mellow wisdom, the gracious erudition, the provoking phrase, and the human sympathy that make almost anything that Max Radin says or writes worth pondering. It presents a series of lectures on two texts: the dictum of Coke, J. 'Reason is the life of the law,' and the dissenting opinion of Holmes, J., 'The life of the law has not been logic, it has been experience.'" Felix S. Cohen, Harvard Law Review 54:711. Marke, A Catalogue of the Law Collection of New York University (1953) 924.
