Publications | Advanced Reasoning Forum

Publications

The Advanced Reasoning Forum publishes research volumes and textbooks in logic, mathematics, philosophy, linguistics, and related fields. ARF also publishes volumes of the Bulletin of Advanced Reasoning and Knowledge. Click on any of the links below for more information about that title.

Critical Thinking

Critical Thinking, Fifth Edition

Critical Thinking, Fifth Edition

Richard L. Epstein with Michael Rooney

Epstein's CRITICAL THINKING sets new standards of clarity for teaching how to reason well in daily life and how to write well. With over one thousand everyday examples and exercises, the text engages and challenges the student. A comprehensive instructor's manual, and many free supplements on the ARF website, make teaching the course a pleasure for instructor and student alike. Now with chapters on reasoning in the sciences.

Guía Breve para el Pensamiento Crítico

Guía Breve para el Pensamiento Crítico

Richard L. Epstein

La Guía breve para el pensamiento crítico te ayudará a desarrollar las habilidades necesarias para razonar bien en tus estudios y en la vida cotidiana. Con sus cientos de ejemplos claros y detallados aprenderás a analizar argumentos, escribir bien y tomar mejores decisiones.

How to Reason + Reasoning in the Sciences

How to Reason + Reasoning in the Sciences

Richard L. Epstein

New drugs, climate change, whether cats can reason, the universe—how can we understand? In this extension of How to Reason you’ll learn how scientists make definitions, what an experiment is, what can go wrong with an experiment, how scientists reason with models and theories, what counts as a good explanation in science, and how to distinguish science from magic, religion, and fraud.

How to Reason: A Practical Guide

How to Reason: A Practical Guide

Richard L. Epstein

Too often we’re guided by what we last heard, by our friends’ approval, by impulse—our desires, our fears. Without reflection. Without even stopping to think.
In this book you’ll learn how to reason and find your way better in life. You’ll learn how to judge what you should believe. These are the skills we all need to make good decisions.

The Pocket Guide to Critical Thinking

The Pocket Guide to Critical Thinking

Richard L. Epstein

First comes clear thinking—then comes clear writing. This handbook distills the essentials of critical thinking into an ideal supplementary textbook for introductory philosophy and composition courses. And now in the 5th edition - chapters that provide the basics for students to begin the study of any science: explanations, experiments, the scientific method, and models and theories.

The Semantic Foundations of Logic

Classical Mathematical Logic

Classical Mathematical Logic

Richard L. Epstein

This develops classical mathematical logic, viewing it as motivated by attempts to formalize mathematics. The scope and limitations of the formal system are explored: formalizations of theories of linear orders, arithmetic, groups, rings, fields, one- and two-dimensional Euclidean geometry, and second-order logic are all presented. It is the only place to see axiomatic geometry formulated in first-order logic where the syntax and semantics are clearly separated.

Predicate Logic

Predicate Logic

Richard L. Epstein

This presents the basic syntax and semantics of predicate logic motivated by attempting to formalize ordinary language reasoning. It is the only textbook that takes formalization as a serious motive for the subject and a serious constraint on the formalism. It make it clear why predicate logic is worth studying. It provides a basis for all predicate logics.

Propositional Logics 3rd Edition

Propositional Logics 3rd Edition

Richard L. Epstein

This surveys and unifies the major systems of propositional logics, answering the question “If logic is the right way to reason, why are there so many logics?” It is the standard reference in the subject, as well as providing a clear and easy way to learn the subject from scratch.

Logic, Language, and the World

An Introduction to Formal Logic Second Edition

An Introduction to Formal Logic Second Edition

Richard L Epstein

Intended for a course for beginning students in philosophy, mathematics, linguistics, or computer science.

Language and the World: Essays New and Old

Language and the World: Essays New and Old

Richard L. Epstein

This book presents a new perspective on ways we encounter the world with our languages.

The Internal Structure of Predicates and Names

The Internal Structure of Predicates and Names

Richard L. Epstein

This series of volumes is meant to extend the scope of what we can formalize in classical predicate logic, and in doing so see the real limitations of what can be done.

Time and Space in Formal Logic

Time and Space in Formal Logic

Richard L. Epstein

Many applications of the formal systems to formalizing ordinary language propositions and inferences clarify better the assumptions we make in reasoning taking account of time and space by making those precise in the formal systems. Appendices on events, branching times, intentions, and descriptive names add to the scope of the work.

Logic as the Art of Reasoning Well

Cause and Effect, Conditionals, Explanations

Cause and Effect, Conditionals, Explanations

Richard L. Epstein

The topic of this volume is the evaluation of reasoning about cause and effect, reasoning using conditionals, and reasoning that involves explanations.

Prescriptive Reasoning

Prescriptive Reasoning

Richard L. Epstein

The topic of this volume is prescriptive reasoning: why to view prescriptions as true or false and how to reason with them; in what way a theory can be prescriptive; and how descriptions of rationality are prescriptive.

Reasoning and Formal Logic

Reasoning and Formal Logic

Richard L. Epstein

This volume examines the metaphysical assumptions that are needed in order to develop formal systems.

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