Three Views Of 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

Three Views of Logic: Mathematics, Philosophy, and Computer ScienceDonald W. Loveland, Richard E. Hodel & S.G. SterrettCloth | January 2014 | 49.50 / £34.95 | ISBN: 9780691160443344 pp. | 7 x 10 | 7 line illus. 10 tables. 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.

Three approaches to questions about the theological connection between the Old and New Testaments. The relationship between the Testaments is not as simple and straightforward as it sometimes appears. When New Testament authors appeal to Old Testament texts to support their arguments, what is the relationship between their meanings and what was originally intended by their Old Testament forebears? Leading biblical scholars Walter Kaiser, Darrel Bock, and Peter Enns present their answers to questions about the use of the Old Testament in the New Testament, addressing elements such as: Divine and human authorial intent. Context of passages. Historical and cultural considerations. The theological grounds for different interpretive methods. Each author applies his framework to specific texts so that readers can see how their methods work out in practice. Each contributor also receives a thorough critique from the other two authors. Three Views on the New Testament Use of Old Testament gives readers the tools they need to develop their own views on the meaning, contexts, and goals behind the New Testament citations of the Old. The Counterpoints series presents a comparison and critique of scholarly views on topics important to Christians that are both fair-minded and respectful of the biblical text. Each volume is a one-stop reference that allows readers to evaluate the different positions on a specific issue and form their own, educated opinion.

Noted evangelical scholars present the best contemporary insights into the three dominant views on the origins of the Synoptic Gospels.

Three views on creation and evolution are presented in this popular format whereby the contributors provide their own articles and respond to those of their peers.

Are Eastern Orthodoxy and evangelicalism at all compatible? To some Western evangelicals, the practices of Eastern Orthodoxy seem mysterious and perhaps even unbiblical. From an Orthodox perspective, evangelicals lack the spiritual roots provided by centuries-old church traditions. Are the differences between these two branches of Christianity as sharp as they seem? Or is there room for agreement? This book allows five leading authorities to present their different views in a respectful manner, have them critiqued by their fellow authors, and then respond to those critiques. Writing from an Orthodox perspective with a strong appreciation for evangelicalism, Bradley Nassif makes a case for compatibility. Michael Horton and Vladimir Berzonsky take the opposite stance from their respective evangelical and Orthodox backgrounds. And George Hancock-Stefan (evangelical) and Edward Rommen (Orthodox) each offer a qualified "perhaps." The interactive Counterpoints forum is ideal for comparing and contrasting the different positions to understand the strengths and weaknesses of these two important branches of Christianity and to form a personal conclusion regarding their compatibility.

The rapture--or the belief that Jesus' living followers will, at some point, join him forever while others do not--is an important but contested doctrine among evangelicals. Scholars generally hold one of three perspectives on the timing and circumstances of the rapture, all of which are presented in this important volume of the Counterpoints series, Three Views on the Rapture: Alan D. Hultberg (PhD, Trinity International University and professor of New Testament at Talbot School of Theology) explains the Pre-Wrath view. Craig Blaising (PhD, Dallas Theological Seminary and president of Southwestern Baptist Theological Seminary) defends the Pre-Tribulation view. Douglas Moo (PhD, University of St. Andrews and professor of New Testament at Wheaton College) sets forth the Post-Tribulation view. Each author provides a substantive explanation of his position, which is critiqued by the other two authors. A thorough introduction gives a historical overview of the doctrine of the rapture and its effects on the church. The interactive and fair-minded format of the Counterpoints series allows readers to consider the strengths and weaknesses of each view and draw informed, personal conclusions.

This book constitutes the refereed post-proceedings of the third Asian Simulation Conference, AsiaSim 2004, held in Jeju Island, Korea in October 2004. The 78 revised full papers presented together with 2 invited keynote papers were carefully reviewed and selected from 178 submissions; after the conference, the papers went through another round of revision. The papers are organized in topical sections on modeling and simulation methodology, manufacturing, aerospace simulation, military simulation, medical simulation, general applications, network simulation and modeling, e-business simulation, numerical simulation, traffic simulation, transportation, virtual reality, engineering applications, and DEVS modeling and simulation.