Author: George EnglebretsenPublisher:
ISBN:
Category : Logic
Languages : en
Pages : 132
Book Description
Three Logicians
Author: George EnglebretsenPublisher:
ISBN:
Category : Logic
Languages : en
Pages : 132
Book Description
Three Views of Logic
Author: Donald W. LovelandPublisher: Princeton University Press
ISBN: 140084875X
Category : Mathematics
Languages : en
Pages : 344
Book Description
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
Hypothetical Syllogistic and Stoic Logic
Author: Anthony SpecaPublisher: BRILL
ISBN: 9004321128
Category : Philosophy
Languages : en
Pages : 161
Book Description
This volume traces the development of Aristotle’s hypothetical syllogistic through antiquity, and shows for the first time how it later became misidentified with the logic of the rival Stoic school. By charting the origins of this error, the book illuminates elements of Aristotelian logic that have been obscured for almost two thousand years, and raises important issues concerning the distinctive roles of semantic and syntactic analysis in theories of logical consequence. The first chapters of the book deal with the original Aristotelian hypothetical syllogistic, and explain how Aristotle’s later followers began to conflate it with Stoic logic. The final chapters examine in detail the two most crucial surviving treatments of the subject, Boethius’s On hypothetical syllogisms and On Cicero’s Topics, which carried this conflation into the Middle Ages.
Logic and Its Applications
Author: Mohua BanerjeePublisher: Springer Science & Business Media
ISBN: 3642180256
Category : Computers
Languages : en
Pages : 228
Book Description
Edited in collaboration with FoLLI, the Association of Logic, Language and Information, this book constitutes the refereed proceedings of the 4th Indian Conference on Logic and Its Applications, ICLA 2011, held in Delhi, India, in January 2011. The 14 revised full papers presented together with 3 invited talks were carefully reviewed and selected from 34 submissions. The papers present current research in all aspects of formal logic ranging from pure and applied logic to history of logic.
Lectures on Metaphysics and Logic ... Edited by H. L. Mansel, ... and J. Veitch. LL.D.
Author: Sir William HamiltonPublisher:
ISBN:
Category :
Languages : en
Pages : 494
Book Description
Lectures on Logic
Author: William HamiltonPublisher:
ISBN:
Category : Logic
Languages : en
Pages : 500
Book Description
Lectures on Metaphysics and Logic: Logic
Author: Sir William HamiltonPublisher:
ISBN:
Category : Logic
Languages : en
Pages : 506
Book Description
Lectures on Metaphysics and Logic by William Hamilton
Author: William HamiltonThe Metaphysics of Logic
Author: Penelope RushPublisher: Cambridge University Press
ISBN: 1107039649
Category : Mathematics
Languages : en
Pages : 279
Book Description
This wide-ranging collection of essays explores the nature of logic and the key issues and debates in the metaphysics of logic.
A Tour Through Mathematical Logic
Author: Robert S. WolfPublisher: Cambridge University Press
ISBN: 9780883850367
Category : Mathematics
Languages : en
Pages : 424
Book Description
The foundations of mathematics include mathematical logic, set theory, recursion theory, model theory, and Gdel's incompleteness theorems. Professor Wolf provides here a guide that any interested reader with some post-calculus experience in mathematics can read, enjoy, and learn from. It could also serve as a textbook for courses in the foundations of mathematics, at the undergraduate or graduate level. The book is deliberately less structured and more user-friendly than standard texts on foundations, so will also be attractive to those outside the classroom environment wanting to learn about the subject.