Language, Proof, and Logic
Author: Dave Barker-Plummer
Publisher: Stanford Univ Center for the Study
Published: 2011
Total Pages: 606
ISBN-13: 9781575866321
DOWNLOAD EBOOKRev. ed. of: Language, proof, and logic / Jon Barwise & John Etchemendy.
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Language, Truth and Logic
Author: Alfred Jules Ayer
Publisher: Courier Corporation
Published: 2012-04-18
Total Pages: 175
ISBN-13: 0486113094
DOWNLOAD EBOOK"A delightful book … I should like to have written it myself." — Bertrand Russell First published in 1936, this first full-length presentation in English of the Logical Positivism of Carnap, Neurath, and others has gone through many printings to become a classic of thought and communication. It not only surveys one of the most important areas of modern thought; it also shows the confusion that arises from imperfect understanding of the uses of language. A first-rate antidote for fuzzy thought and muddled writing, this remarkable book has helped philosophers, writers, speakers, teachers, students, and general readers alike. Mr. Ayers sets up specific tests by which you can easily evaluate statements of ideas. You will also learn how to distinguish ideas that cannot be verified by experience — those expressing religious, moral, or aesthetic experience, those expounding theological or metaphysical doctrine, and those dealing with a priori truth. The basic thesis of this work is that philosophy should not squander its energies upon the unknowable, but should perform its proper function in criticism and analysis.
Symbolic Logic
Author: David W. Agler
Publisher: Rowman & Littlefield
Published: 2013
Total Pages: 397
ISBN-13: 1442217421
DOWNLOAD EBOOKBrimming with visual examples of concepts, derivation rules, and proof strategies, this introductory text is ideal for students with no previous experience in logic. Symbolic Logic: Syntax, Semantics, and Proof introduces students to the fundamental concepts, techniques, and topics involved in deductive reasoning. Agler guides students through the basics of symbolic logic by explaining the essentials of two classical systems, propositional and predicate logic. Students will learn translation both from formal language into English and from English into formal language; how to use truth trees and truth tables to test propositions for logical properties; and how to construct and strategically use derivation rules in proofs. This text makes this often confounding topic much more accessible with step-by-step example proofs, chapter glossaries of key terms, hundreds of homework problems and solutions for practice, and suggested further readings.
Proof, Logic and Formalization
Author: Michael Detlefsen
Publisher: Routledge
Published: 2005-07-08
Total Pages: 391
ISBN-13: 1134975279
DOWNLOAD EBOOKThe mathematical proof is the most important form of justification in mathematics. It is not, however, the only kind of justification for mathematical propositions. The existence of other forms, some of very significant strength, places a question mark over the prominence given to proof within mathematics. This collection of essays, by leading figures working within the philosophy of mathematics, is a response to the challenge of understanding the nature and role of the proof.
Logic Primer, third edition
Author: Colin Allen
Publisher: MIT Press
Published: 2022-02-15
Total Pages: 175
ISBN-13: 0262543648
DOWNLOAD EBOOKThe new edition of a comprehensive and rigorous but concise introduction to symbolic logic. Logic Primer offers a comprehensive and rigorous introduction to symbolic logic, providing concise definitions of key concepts, illustrative examples, and exercises. After presenting the definitions of validity and soundness, the book goes on to introduce a formal language, proof theory, and formal semantics for sentential logic (chapters 1–3) and for first-order predicate logic (chapters 4–6) with identity (chapter 7). For this third edition, the material has been reorganized from four chapters into seven, increasing the modularity of the text and enabling teachers to choose alternative paths through the book. New exercises have been added, and all exercises are now arranged to support students moving from easier to harder problems. Its spare and elegant treatment makes Logic Primer unique among textbooks. It presents the material with minimal chattiness, allowing students to proceed more directly from topic to topic and leaving instructors free to cover the subject matter in the way that best suits their students. The book includes more than thirty exercise sets, with answers to many of them provided in an appendix. The book’s website allows students to enter and check proofs, truth tables, and other exercises interactively.
A Concise Introduction to Logic
Author: Craig DeLancey
Publisher: Open SUNY Textbooks
Published: 2017-02-06
Total Pages:
ISBN-13: 9781942341437
DOWNLOAD EBOOKProofs and Refutations
Author: Imre Lakatos
Publisher: Cambridge University Press
Published: 1976
Total Pages: 190
ISBN-13: 9780521290388
DOWNLOAD EBOOKProofs and Refutations is for those interested in the methodology, philosophy and history of mathematics.
A Logical Introduction to Proof
Author: Daniel W. Cunningham
Publisher: Springer Science & Business Media
Published: 2012-09-19
Total Pages: 365
ISBN-13: 1461436311
DOWNLOAD EBOOKThe book is intended for students who want to learn how to prove theorems and be better prepared for the rigors required in more advance mathematics. One of the key components in this textbook is the development of a methodology to lay bare the structure underpinning the construction of a proof, much as diagramming a sentence lays bare its grammatical structure. Diagramming a proof is a way of presenting the relationships between the various parts of a proof. A proof diagram provides a tool for showing students how to write correct mathematical proofs.
The Logic of Our Language
Author: Rodger L. Jackson
Publisher: Broadview Press
Published: 2014-11-04
Total Pages: 354
ISBN-13: 1460402782
DOWNLOAD EBOOKThe Logic of Our Language teaches the practical and everyday application of formal logic. Rather than overwhelming the reader with abstract theory, Jackson and McLeod show how the skills developed through the practice of logic can help us to better understand our own language and reasoning processes. The authors’ goal is to draw attention to the patterns and logical structures inherent in our spoken and written language by teaching the reader how to translate English sentences into formal symbols. Other logical tools, including truth tables, truth trees, and natural deduction, are then introduced as techniques for examining the properties of symbolized sentences and assessing the validity of arguments. A substantial number of practice questions are offered both within the book itself and as interactive activities on a companion website.
