Primarily Logic

Primarily Logic
Author: Judy Leimbach
Publisher: Routledge
Total Pages: 135
Release: 2021-09-03
Genre: Education
ISBN: 1000495299

It's never too early to start building thinking skills—skills that will spill over into other areas of the curriculum and into real life. Primarily Logic consists of a series of units designed to introduce logical thinking to young students. It is an excellent, easy-to-use starting point for teaching well-established forms of logical thinking. Each skill is introduced with examples, and then worksheets give students an opportunity to practice the skill. Group lessons and worksheets provide practice in: finding relationships, analogies, thinking logically using “all” and “none” statements, syllogisms, and deductive reasoning using logic puzzles. Logical thinking is both enjoyable and challenging for students as they build a sound foundation for further instruction in critical thinking. Suggestions for related activities are included in the Instructions for Teachers section. For easier logic activities for younger students, try Lollipop Logic. Grades 2-4

An Introduction to Mathematical Logic

An Introduction to Mathematical Logic
Author: Richard E. Hodel
Publisher: Courier Corporation
Total Pages: 514
Release: 2013-01-01
Genre: Mathematics
ISBN: 0486497852

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.

Figuring It Out

Figuring It Out
Author: George Englebretsen
Publisher: Walter de Gruyter GmbH & Co KG
Total Pages: 234
Release: 2019-11-18
Genre: Philosophy
ISBN: 3110624451

Many systems of logic diagrams have been offered both historically and more recently. Each of them has clear limitations. An original alternative system is offered here. It is simpler, more natural, and more expressively and inferentially powerful. It can be used to analyze not only syllogisms but arguments involving relational terms and unanalyzed statement terms.

ELEMENTARY LOGIC REV ED P

ELEMENTARY LOGIC REV ED P
Author: W. V. QUINE
Publisher: Harvard University Press
Total Pages: 144
Release: 2009-06-30
Genre: Philosophy
ISBN: 0674042492

Now much revised since its first appearance in 1941, this book, despite its brevity, is notable for its scope and rigor. It provides a single strand of simple techniques for the central business of modern logic. Basic formal concepts are explained, the paraphrasing of words into symbols is treated at some length, and a testing procedure is given for truth-function logic along with a complete proof procedure for the logic of quantifiers. Fully one third of this revised edition is new, and presents a nearly complete turnover in crucial techniques of testing and proving, some change of notation, and some updating of terminology. The study is intended primarily as a convenient encapsulation of minimum essentials, but concludes by giving brief glimpses of further matters.

The Metaphysics of Logic

The Metaphysics of Logic
Author: Penelope Rush
Publisher: Cambridge University Press
Total Pages: 279
Release: 2014-10-16
Genre: Mathematics
ISBN: 1107039649

This wide-ranging collection of essays explores the nature of logic and the key issues and debates in the metaphysics of logic.

Introduction to Logic, Second Edition

Introduction to Logic, Second Edition
Author: Genesereth Michael
Publisher: Springer Nature
Total Pages: 155
Release: 2013-08-16
Genre: Mathematics
ISBN: 3031017994

This book is a gentle but rigorous introduction to Formal Logic. It is intended primarily for use at the college level. However, it can also be used for advanced secondary school students, and it can be used at the start of graduate school for those who have not yet seen the material. The approach to teaching logic used here emerged from more than 20 years of teaching logic to students at Stanford University and from teaching logic to tens of thousands of others via online courses on the World Wide Web. The approach differs from that taken by other books in logic in two essential ways, one having to do with content, the other with form. Like many other books on logic, this one covers logical syntax and semantics and proof theory plus induction. However, unlike other books, this book begins with Herbrand semantics rather than the more traditional Tarskian semantics. This approach makes the material considerably easier for students to understand and leaves them with a deeper understanding of what logic is all about. In addition to this text, there are online exercises (with automated grading), online logic tools and applications, online videos of lectures, and an online forum for discussion. They are available at logic.stanford.edu/intrologic/

Logic Countdown

Logic Countdown
Author: Bonnie Risby
Publisher:
Total Pages: 64
Release: 2005-01-01
Genre: Education
ISBN: 9781593630874

This classic book will excite students' imaginations while enriching skills in logical thinking. Logic Countdown problems are easy to incorporate into lesson plans and are formatted to enhance the fullest spectrum of curriculum areas while sharpening thinking skills. Challenging and instructional, these thought-provoking books present sequential exercises in logical reasoning that include relationships, analogies, syllogisms, sequences, deductive reasoning, inference, truth-values, and logical notation. Simple grids coupled with intriguing problems evoke enthusiasm and inspire students to higher and higher levels of thinking. Each book in this series builds on concepts presented previously in the series to offer a comprehensive logic adventure for young thinkers. The skills students build by using this book are applicable to several areas of the curriculum. Academic skills used for reading, math, writing, and science all depend on the ability to perceive and define relationships and to form inferences. But, beyond the academic world, students will find logical thinking an integral part of everyday life. This is the first in a three-book series designed to sharpen children's logical thinking skills. Once students master the skills presented in this book, they will be ready for new challenges in Logic Liftoff and Orbiting with Logic.

Neighborhood Semantics for Modal Logic

Neighborhood Semantics for Modal Logic
Author: Eric Pacuit
Publisher: Springer
Total Pages: 165
Release: 2017-11-15
Genre: Philosophy
ISBN: 3319671499

This book offers a state-of-the-art introduction to the basic techniques and results of neighborhood semantics for modal logic. In addition to presenting the relevant technical background, it highlights both the pitfalls and potential uses of neighborhood models – an interesting class of mathematical structures that were originally introduced to provide a semantics for weak systems of modal logic (the so-called non-normal modal logics). In addition, the book discusses a broad range of topics, including standard modal logic results (i.e., completeness, decidability and definability); bisimulations for neighborhood models and other model-theoretic constructions; comparisons with other semantics for modal logic (e.g., relational models, topological models, plausibility models); neighborhood semantics for first-order modal logic, applications in game theory (coalitional logic and game logic); applications in epistemic logic (logics of evidence and belief); and non-normal modal logics with dynamic modalities. The book can be used as the primary text for seminars on philosophical logic focused on non-normal modal logics; as a supplemental text for courses on modal logic, logic in AI, or philosophical logic (either at the undergraduate or graduate level); or as the primary source for researchers interested in learning about the uses of neighborhood semantics in philosophical logic and game theory.

Logic in Reality

Logic in Reality
Author: JOSEPH BRENNER
Publisher: Springer Science & Business Media
Total Pages: 378
Release: 2008-05-20
Genre: Philosophy
ISBN: 1402083750

This book is both dif?cult and rewarding, affording a new perspective on logic and reality, basically seen in terms of change and stability, being and becoming. Most importantly it exemplifies a mode of doing philosophy of science that seems a welcome departure from the traditional focus on purely analytic arguments. The author approaches ontology, metaphysics, and logic as having offered a number of ways of constructing the description of reality, and aims at deepening their relationships in a new way. Going beyond the mere abstract and formal aspects of logical analysis, he offers a new architecture of logic that sees it as applied not only to the “reasoning processes” belonging to the first disciplinary group – ontology – but also directly concerned with en- ties, events, and phenomena studied by the second one – metaphysics. It is the task of the book to elaborate such a constructive logic, both by offering a lo- cal view of the structure of the reality in general and by proffering a wealth of models able to encompass its implications for science. In turning from the merely formal to the constructive account of logic Brenner overcomes the limitation of logic to linguistic concepts so that it can be not only a logic “of” reality but also “in” that reality which is constitutively characterized by a number of fundamental dualities (observer and observed, self and not-self, internal and external, etc.