Three Views of Logic PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Three Views of Logic PDF full book. Access full book title Three Views of Logic by Donald W. Loveland. Download full books in PDF and EPUB format.
Author: Donald W. Loveland
Publisher: Princeton University Press
ISBN: 140084875X
Category : Mathematics
Languages : en
Pages : 339
Get Book Here
Book Description
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
Author: Donald W. Loveland
Publisher: Princeton University Press
ISBN: 140084875X
Category : Mathematics
Languages : en
Pages : 339
Get Book Here
Book Description
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
Author: Zondervan,
Publisher: Zondervan Academic
ISBN: 0310873983
Category : Religion
Languages : en
Pages : 308
Get Book Here
Book Description
For Christians, the issues raised by the different views on creation and evolution are challenging. Can a "young earth" be reconciled with a universe that appears to be billions of years old? Does scientific evidence point to a God who designed the universe and life in all its complexity? Three Views on Creation and Evolution deals with these and similar concerns as it looks at three dominant schools of Christian thought. Proponents of young earth creationism, old earth creationism, and theistic evolution each present their different views, tell why the controversy is important, and describe the interplay between their understandings of science and theology. Each view is critiqued by various scholars, and the entire discussion is summarized by Phillip E. Johnson and Richard H. Bube. The Counterpoints series provides a forum for comparison and critique of different views on issues important to Christians. Counterpoints books address two categories: Church Life and Bible and Theology. Complete your library with other books in the Counterpoints series.
Author: Zondervan,
Publisher: Zondervan Academic
ISBN: 0310590515
Category : Religion
Languages : en
Pages : 257
Get Book Here
Book Description
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.
Author: Steve Wilkens
Publisher: InterVarsity Press
ISBN: 0830840400
Category : Religion
Languages : en
Pages : 190
Get Book Here
Book Description
Steve Wilkens edits a debate between three different understandings of the relationship between faith and reason, between theology and philosophy. The three views include: Faith and Philosophy in Tension, Faith Seeking Understanding and the Thomistic Synthesis. This introduction to a timeless quandary is an essential resource for students.
Author: Richard E. Hodel
Publisher: Courier Corporation
ISBN: 0486497852
Category : Mathematics
Languages : en
Pages : 514
Get Book Here
Book Description
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.
Author: Harry J Gensler
Publisher: Routledge
ISBN: 1136994521
Category : Philosophy
Languages : en
Pages : 510
Get Book Here
Book Description
Introduction to Logic combines likely the broadest scope of any logic textbook available with clear, concise writing and interesting examples and arguments. Its key features, all retained in the Second Edition, include: • simpler ways to test arguments than those available in competing textbooks, including the star test for syllogisms • a wide scope of materials, making it suitable for introductory logic courses (as the primary text) or intermediate classes (as the primary or supplementary book) • engaging and easy-to-understand examples and arguments, drawn from everyday life as well as from the great philosophers • a suitability for self-study and for preparation for standardized tests, like the LSAT • a reasonable price (a third of the cost of many competitors) • exercises that correspond to the LogiCola program, which may be downloaded for free from the web. This Second Edition also: • arranges chapters in a more useful way for students, starting with the easiest material and then gradually increasing in difficulty • provides an even broader scope with new chapters on the history of logic, deviant logic, and the philosophy of logic • expands the section on informal fallacies • includes a more exhaustive index and a new appendix on suggested further readings • updates the LogiCola instructional program, which is now more visually attractive as well as easier to download, install, update, and use.
Author: Greg Frost-Arnold
Publisher: Open Court
ISBN: 0812698304
Category : Philosophy
Languages : en
Pages : 273
Get Book Here
Book Description
A reconstruction of the lines of argument used by Carnap, Tarski, and Quine, highlighting their historical significance and contemporary relevance based on Carnap's own notes from his conversations of the time.During the academic year 1940-1941, several giants of analytic philosophy congregated at Harvard, holding regular private meetings, with Carnap, Tarski, and Quine. 'Carnap, Tarski, and Quine at Harvard' allows the reader to act as a fly on the wall for their conversations. Carnap took detailed notes during his year at Harvard. This book includes both a German transcription of these shorthand notes and an English translation in the appendix section. Carnap's notes cover a wide range of topics, but surprisingly, the most prominent question is: If the number of physical items in the universe is finite, what form should scientific discourse take? This question is closely connected to anabiding philosophical problem: What is the relationship between the logico-mathematical realm and the material realm? Carnap, Tarski, and Quine's attempts to answer this question involve issues central to philosophy today.This book focuses on three such issues: nominalism, the unity of science, and analyticity. In short, the book reconstructs the lines of argument represented in these Harvard discussions, discusses their historical significance (especially Quine's break from Carnap),and relates them when possible to contemporary treatments of these issues.
Author: Robert L. Thomas
Publisher: Kregel Academic
ISBN: 9780825498824
Category : Religion
Languages : en
Pages : 404
Get Book Here
Book Description
Noted evangelical scholars present the best contemporary insights into the three dominant views on the origins of the Synoptic Gospels.
Author: Vern S. Poythress
Publisher: Crossway
ISBN: 1433532328
Category : Religion
Languages : en
Pages : 736
Get Book Here
Book Description
For the well-rounded Christian looking to improve their critical thinking skills, here is an accessible introduction to the study of logic (parts 1 & 2) as well as an in-depth treatment of the discipline (parts 3 & 4) from a professor with 6 academic degrees and over 30 years experience teaching. Questions for further reflection are included at the end of each chapter as well as helpful diagrams and charts that are appropriate for use in high school, home school, college, and graduate-level classrooms. Overall, Vern Poythress has undertaken a radical recasting of the study of logic in this revolutionary work from a Christian worldview.
Author: Penelope Rush
Publisher: Cambridge University Press
ISBN: 1107039649
Category : Mathematics
Languages : en
Pages : 279
Get Book Here
Book Description
This wide-ranging collection of essays explores the nature of logic and the key issues and debates in the metaphysics of logic.
