A Concise Introduction To Logic Book Pdf

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Heron Mathis

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Aug 3, 2024, 4:41:18 PM8/3/24
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This text provides a thorough and responsible introduction to symbolic logic from sentential calculus through first-order predicate logic with identity and its application to specific numbers in arguments. While there is no index, this is hardly...

This text provides a thorough and responsible introduction to symbolic logic from sentential calculus through first-order predicate logic with identity and its application to specific numbers in arguments. While there is no index, this is hardly necessary in a digital text. In place of a glossary, the text offers a very effective and detailed summary section for each of the two logical languages developed.

The text is well-designed and clearly written for its intended audience. For instance, most of the major concepts are introduced through discussion of concrete examples from the history of philosophy and science. The author is thus able to introduce concepts and techniques while demonstrating their value. Furthermore, instead of burdening the main text with sidebars or esoteric developments of the material, the author relegates these to footnotes, where they are no doubt useful to more advanced students without risking distracting the less well-prepared.

In addition to the expected logical sequencing mentioned above, this text presents its material against the backdrop of history. Frederick Douglass, Hobbes, Socrates/Plato, Aristotle, Galileo, Hume, Frege, Russell, Peano, Meinong, Tarski and Carnap all make an appearance. Many students will find this structure helpful in putting flesh on the logical bones.

I found no problems with the interface, navigation or text/image rendering in the pdf version of the text (the only version I read). Any reader comfortable navigating pdf files should have no concerns.

I do not think the content or its presentation is likely to be found culturally insensitive or offensive at all (disclosure: I am a Caucasian male). That said, with only a single exception that I could find (Frederick Douglass) the historical examples are representative of the European male dominated philosophical canon.

The text is very comprehensive. It covers each of the main connectives separately, proofs, and an introduction to propositional logic. The index covers each aspect of the text in explicit detail. read more

The content is up-to-date but there are areas of logic that go largely uncovered. In particular, there is no explicit instruction on the construction of truth table and the usage of truth tables to assess consistency, tautologies, contingencies, and soundness.

The text is clearly organized. A student is able to learn about each main connective in its own chapter. The language in the text is accessible to a wide variety of audiences while ensuring that students become familiar with the technical terminology of logic.

The text is divided into chapters that individually address each main connective. Additionally, each chapter includes approximately three practice problems. It would be valuable to include additional practice problems given that logic is best learned through solving a wide variety of practice problems. Additionally, it would be helpful to have more problems that teach students how to use the main connectives together and not just independently.

The text begins with basic definitions and mapping tools for representing propositional logic and for creating truth tables. It then moves through first order logic, quantification, and proofs. It ends with a look forward to more advanced...read more

The text begins with basic definitions and mapping tools for representing propositional logic and for creating truth tables. It then moves through first order logic, quantification, and proofs. It ends with a look forward to more advanced applications. There is neither index nor glossary, but terms are easy to find using the table of contents. Moreover, the chapters are brief, and terms are relatively easy to identify within them.

The foundational principles of propositional logic aren't particularly new, but as the final section of this volume suggests, there a several advanced and creative ways to apply them. Some early sections point out what current thinking on certain topics is. While these points are unlikely to change, the text is written in such a way that it would be easy to modify later. Also, Part III: A Look Forward is written in a such a way that it could be edited easily to reflect further modifications, changes, or developments.

This book is what it says it is: a concise introduction. DeLancey's writing is brief and methodical. Paragraphs are small and somewhat minimalist. This, however, is not a criticism. Explanations are short and effective. Terms build upon terms and concepts upon concepts. There are not examples for every single instance, but there are always examples to show how the concepts discussed in the chapter work together. Chapters are well-organized and short. Exercises are interesting and challenging (for that matter, the content matter is, too), and they reflect what is discussed in the chapters. I regularly review online course design and textbooks, and while I always find these reviews stimulating, this is the first time in a long time where I really wanted to take a course in this topic and ask questions about the content and application.

Most chapters are about ten pages. They include explanations, examples, and problems (exercises). These chapters could be easily assigned to students. It is conceivable that one might assume sections in order to introduce students to certain concepts, but the text is written in such a way that concepts build on one another. In addition, a method for representing logic, which includes signs and symbols, is introduced. With that in mind, unless students had prior experience with the material, it would not be advisable to reorganize the chapters. In my mind, the chapters and sections are very much dependent on their ordering.

The Reviewer's Notes provide an accurate overview of the text's organization. This is also reflected in the Table of Contents. From start to finish, the text introduces concepts and builds on them to move from basic to more advanced applications.

The text is in a Pressbooks style. The PDF was easy to navigate. There appear to be two primary typefaces, a serif and sans serif font. Both were easy to read. Charts, tables, and images have rendered well. I observed no distracting pixelation, blurring, or alignment errors with these visuals.

DeLancey has been careful to include examples from various persons, both male and female, from a variety of cultures, races, and backgrounds. He also varies his use of pronouns, sometimes using he or she, sometimes he, sometimes she.

The conciseness of the chapters, sections, paragraphs, and sentences is to be commended. The organization and structure is also easy to follow. I came to this book on the Open Textbook Library looking for a text for my introductory composition and rhetoric students. While I found some things that would be applicable to them, I found that the text was more in line with a philosophy or more traditional course in rhetoric than what I would typically present to first-year composition students. That said, I found the style and content of the book fascinating. I enjoyed doing the exercises, and I can visualize how students could use this text to confidently develop fundamental skills in using logic and representing it in truth tables and proofs.

A Concise Introduction to Logic is an introduction to formal logic suitable for undergraduates taking a general education course in logic or critical thinking, and is accessible and useful to any interested in gaining a basic understanding of logic. This text takes the unique approach of teaching logic through intellectual history; the author uses examples from important and celebrated arguments in philosophy to illustrate logical principles. The text also includes a basic introduction to findings of advanced logic. As indicators of where the student could go next with logic, the book closes with an overview of advanced topics, such as the axiomatic method, set theory, Peano arithmetic, and modal logic. Throughout, the text uses brief, concise chapters that readers will find easy to read and to review.

Craig DeLancey is Professor of Philosophy and Chair of the Department of Philosophy at SUNY Oswego. He received his Ph.D. from Indiana University. His publications include Passionate Engines: What Emotions Reveal about the Mind and Artificial Intelligence, with Oxford University Press. He has been a fellow of the Center for the Philosophy of Science at the University of Pittsburgh, a fellow of the National Endowment of the Humanities, and has received research funding from the Army Institute of Basic Research. When not teaching philosophy or doing research, he writes science fiction.

A Concise Introduction to Logic is an introduction to formal logic suitable for undergraduates taking a general education course in logic or critical thinking, and is accessible and useful to any interested in gaining a basic understanding of logic. This text takes the unique approach of teaching logic through intellectual history; the author uses examples from important and celebrated arguments in philosophy to illustrate logical principles. The text also includes a basic introduction to findings of advanced logic. As indicators of where the student could go next with logic, the book closes with an overview of advanced topics, such as the axiomatic method, set theory, Peano arithmetic, and modal logic. Throughout, the text uses brief, concise chapters that readers will find easy to read and to review.

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