Best of
Logic

2007

The Logical Thinking Process: A Systems Approach to Complex Problem Solving


H. William Dettmer - 2007
    System Optima Cause and Effect Undesirable Effects and Critical Root Causes Solution Deterioration Physical vs. Policy Constraints Ideas Are NOT Solutions The Five Focusing Steps of TOC 1. Identify the System Constraint 2. Decide How to Exploit the Constraint 3. Subordinate Everything Else 4. Elevate the Constraint 5. Go Back to Step 1, but Beware of ???Inertia??? Throughput, Inventory, and Operating Expense Throughput (T) Inventory/Investment (I) Operating Expense (OE) Which Is Most Important: T, I, or OE? T,I and OE: An Example T, I, and OE in Not-for-Profit Organizations Universal Measures of Value Passive Inventory Active Inventory (Investment) Managing T Through Undesirable Effects The TOC Paradigm Applications and Tools Drum-Buffer-Rope Critical Chain Project Management Replenishment and Distribution Throughput Accountin

A Modern Approach to Logical Reasoning


R.S. Aggarwal - 2007
    Nowadays success in every single competitive examinations lime bank clerical,bank PO,LIC,GIC,MBA Assistant grade,excise & income tax,IAS,IFS,AAO,Railway hotel management and others depend much on the candiate's performance in the reasoning paper.so much comprehensive and intelligent approach to it is the need of the day.This book serves the purpose

An Introduction to Gödel's Theorems


Peter Smith - 2007
    This remarkable result is among the most intriguing (and most misunderstood) in logic. Godel also outlined an equally significant Second Incompleteness Theorem. How are these Theorems established, and why do they matter? Peter Smith answers these questions by presenting an unusual variety of proofs for the First Theorem, showing how to prove the Second Theorem, and exploring a family of related results (including some not easily available elsewhere). The formal explanations are interwoven with discussions of the wider significance of the two Theorems. This book extensively rewritten for its second edition will be accessible to philosophy students with a limited formal background. It is equally suitable for mathematics students taking a first course in mathematical logic.

Fallacies and Argument Appraisal


Christopher W. Tindale - 2007
    Drawing from the latest work on fallacies as well as some of the standard ideas that have remained relevant since Aristotle, Christopher Tindale investigates central cases of major fallacies in order to understand what has gone wrong and how this has occurred. Dispensing with the approach that simply assigns labels and brief descriptions of fallacies, Tindale provides fuller treatments that recognize the dialectical and rhetorical contexts in which fallacies arise. This volume analyzes major fallacies through accessible, everyday examples. Critical questions are developed for each fallacy to help the student identify them and provide considered evaluations.

Thinking about Godel and Turing: Essays on Complexity, 1970-2007


Gregory Chaitin - 2007
    In this volume, Chaitin discusses the evolution of these ideas, tracing them back to Leibniz and Borel as well as Gödel and Turing.This book contains 23 non-technical papers by Chaitin, his favorite tutorial and survey papers, including Chaitin's three Scientific American articles. These essays summarize a lifetime effort to use the notion of program-size complexity or algorithmic information content in order to shed further light on the fundamental work of Gödel and Turing on the limits of mathematical methods, both in logic and in computation. Chaitin argues here that his information-theoretic approach to metamathematics suggests a quasi-empirical view of mathematics that emphasizes the similarities rather than the differences between mathematics and physics. He also develops his own brand of digital philosophy, which views the entire universe as a giant computation, and speculates that perhaps everything is discrete software, everything is 0's and 1's.Chaitin's fundamental mathematical work will be of interest to philosophers concerned with the limits of knowledge and to physicists interested in the nature of complexity.

Commentary on Aristotle's Posterior Analytics


Thomas Aquinas - 2007
    It investigates the logical requirements for the most perfect of arguments, the demonstration, which proves a necessary conclusion from necessary premises. In his commentary on this treatise, Thomas Aquinas gives us perceptive interpretations of Aristotle's very concise and difficult text, together with illuminating explanations of the structure of the work as a whole and of the order of its parts. This new translation, based on the Leonine Commission's 1989 edition, seeks to render Aquinas's text faithfully in contemporary English. It includes a careful translation of the Latin text of Aristotle on which the commentary was based, with footnotes on passages where it differs from the Greek.To make the work as useful as possible for contemporary readers, the translator has provided an introduction and a supplementary commentary of his own. The introduction discusses three topics of fundamental importance for the study of the Posterior Analytics today: the relationship of Aristotle's logic to symbolic logic, the scope and subject matter of logic, and the status of the syllogism as an argument form. The supplementary commentary invites the reader to further reflection on the Posterior Analytics in the light of Aquinas's interpretation. Aquinas's commentary is divided into readings or lessons (lectiones), forty-four on Book I of the Posterior Analytics and twenty on Book II. The translator's supplementary commentary follows the same arrangement. The work includes footnotes, a brief bibliography of works cited, an index, and a preface by Ralph McInerny.

Hypothetical Thinking: Dual Processes in Reasoning and Judgement


Jonathan St. B.T. Evans - 2007
    Using a recently developed theoretical framework called Hypothetical Thinking Theory, Jonathan St. B. T. Evans provides an integrated theoretical account of a wide range of psychological studies on hypothesis testing, reasoning, judgement and decision making.Hypothetical thinking theory is built on three key principles, implemented in a revised and updated version of Evans' well-known heuristic analytic theory of reasoning. The central claim of this book is that this theory can provide an integrated account of some apparently very diverse phenomena including confirmation bias in hypothesis testing, acceptance of fallacies in deductive reasoning, belief biases in reasoning and judgement, biases of statistical judgement and a number of characteristic findings in the study of decision making. The author also provides broad ranging discussion of cognitive biases, human rationality and dual-process theories of higher cognition.Hypothetical Thinking draws on and develops arguments first proposed in Evans earlier work from this series, Bias in Human Reasoning. In the new theory, however, cognitive biases are attributed equally to analytic and heuristic processing and a much wider range of phenomena are reviewed and discussed. It will therefore be of great interest to researchers and post-graduates in psychology and the cognitive sciences, as well as to undergraduate students looking for a comprehensive review of current work on reasoning and decision-making. "

Automata, Computability and Complexity: Theory and Applications


Elaine A. Rich - 2007
    But the classic treatment of this material isolates it from the myriad ways in which the theory influences the design of modern hardware and software systems. The goal of this book is to change that. The book is organized into a core set of chapters (that cover the standard material suggested by the title), followed by a set of appendix chapters that highlight application areas including programming language design, compilers, software verification, networks, security, natural language processing, artificial intelligence, game playing, and computational biology. The core material includes discussions of finite state machines, Markov models, hidden Markov models (HMMs), regular expressions, context-free grammars, pushdown automata, Chomsky and Greibach normal forms, context-free parsing, pumping theorems for regular and context-free languages, closure theorems and decision procedures for regular and context-free languages, Turing machines, nondeterminism, decidability and undecidability, the Church-Turing thesis, reduction proofs, Post Correspondence problem, tiling problems, the undecidability of first-order logic, asymptotic dominance, time and space complexity, the Cook-Levin theorem, NP-completeness, Savitch's Theorem, time and space hierarchy theorems, randomized algorithms and heuristic search. Throughout the discussion of these topics there are pointers into the application chapters. So, for example, the chapter that describes reduction proofs of undecidability has a link to the security chapter, which shows a reduction proof of the undecidability of the safety of a simple protection framework.

Media Argumentation: Dialectic, Persuasion and Rhetoric


Douglas N. Walton - 2007
    From political speeches to television commercials to war propaganda, it can effectively mobilize political action, influence the public, and market products. This book presents a new and systematic way of thinking about the influence of mass media in our lives, showing the intersection of media sources with argumentation theory, informal logic, computational theory, and theories of persuasion. Using a variety of case studies that represent arguments that typically occur in the mass media, Douglas Walton demonstrates how tools recently developed in argumentation theory can be usefully applied to the identification, analysis, and evaluation of media arguments.

Dynamic Epistemic Logic


Hans van Ditmarsch - 2007
    This book provides various logics to support such formal specifications, including proof systems. Concrete examples and epistemic puzzles enliven the exposition. The book also offers exercises with answers. It is suitable for graduate courses in logic. Many examples, exercises, and thorough completeness proofs and expressivity results are included. A companion web page offers slides for lecturers and exams for further practice.

Seeing Dark Things: The Philosophy of Shadows


Roy Sorensen - 2007
    Shadows and holes are anomalies for the causal theory of perception, which states that anything we see must be a cause of what we see. This requirement neatly explains why you see the front of a book's jacket and not its rear when you look at it face-on. However, the causal theory has trouble explaining how you manage to see the black letters on its surface. The letters are made visible by the light they fail to reflect rather than by the light they reflect. Nevertheless, Roy Sorensen defends the causal theory of perception by treating absences as causes. His fourteen chapters draw heavily on common sense and psychology to vindicate the assumption that we perceive absences. Seeing Dark Things is philosophy for the eye. It contains fifty-nine figures designed to prompt visual judgment. Sorensen proceeds bottom-up from observation rather than top-down from theory. He regards detailed analysis of absences as premature; he hopes a future theory will refine the pictorialthinking stimulated by the book's riddles. Just as the biologist pursues genetics with fruit flies, the metaphysician can study absences by means of shadows. Shadows are metaphysical amphibians with one foot on the terra firma of common sense and the other in the murky waters of nonbeing. Sorensen portrays the causal theory of perception's confrontation with the shadows as a triumph against alien attack - a victory that deepens a theory that resonatesprofoundly with common sense and science. In sum, Seeing Dark Things is an unorthodox defense of an orthodox theory.Seeing Dark Things is an adventurous philosophical exercise in the ontology and epistemology of the commonsense world. Its treatment of the many puzzles that surround such putative 'negative' entities as shadows and holes will make it a classic on the literature on privations for many yeas tocome. The book is also a wonderful example of how philosophy can be done without falling into the traps of the academic rigmarole. Sorensen is truly unique in his capacity to bring together classic philosophers, contemporary authors, and ticklish anecdotes. - Achille Varzi, Columbia UniversityThis is a wonderful book, full of a profound, unsettling cleverness and weirdly satisfying counter-intuitiveness that the subject requires...a great book. - Richard Marshall, BookforumSorensen is an extraordinarily fertile and imaginative philosopher, drawing widely on philosophy, physics, biology and vision science to mine his chosen quarry. His arguments, anecdotes and examples are always engaging. Add them to his effortless style and you have a rare commodity - a book ofserious philosophy that many non-professionals will enjoy. - Ian Phillips, Times Literary SupplementSorensen's book is certainly fascinating and richly thought-provoking... he argues carefully and clearly in favour of his key claims, all of which merit very serious consideration, even if they sometimes provoke one to construct and defend alternative views. That, however, is surely the hallmark ofthe very best kind of philosophy writing. Seeing Dark Things is a model of this kind. - E.J. Lowe, Philosophy

The Magic Garden Of George B. And Other Logic Puzzles


Raymond M. Smullyan - 2007
    The reader is thus journeyed through a maze of subsidiary problems that has all the earmarks of an entertaining detective story. Of the author's 20 published books, this is the 11th whose purpose is to lead the unwary reader into deep logical waters through seductively entertaining logic puzzles. The "deep waters" of this book is boolean algebra with such weird looking equations as 1+1=0 - a subject which today plays a vital role, not only in mathematical systems, but also in computer science and artificial intelligence.