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An Introduction to Logic: From Everyday Life to Formal Systems

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Albert Mosley, Northampton, MA

Eulalio Baltazar, Northampton, MA

Copyright Year: 2019

Publisher: Smith College Open Educational Resources: Textbooks

Language: English

Formats Available

Conditions of Use

Attribution-NonCommercial-ShareAlike Attribution-NonCommercial-ShareAlike
CC BY-NC-SA

Table of Contents

  • Table of Contents
  • Introduction: Language and Rationality
  • Chapter 1: The Structure of Arguments
  • Chapter 2: Classical Logic
  • Chapter 3: Categorical Inferences
  • Chapter 4: Modern Logic
  • Chapter 5: Applications of Modern Logic
  • Chapter 6: Inductive Inferences
  • Chapter 7: Informal Fallacies

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About the Book

An introduction to the discipline of logic covering subjects from the structures of arguments, classical and modern logic, categorical and inductive inferences, to informal fallacies.

  • Over 30 years of development provides a sound empirical based pedagogy throughout the text.
  • Examples in ordinary language using familiar examples avoids the suggestion of an alien cultural imposition.
  • A focus on the basic representational techniques of classical and modern logic.
  • Students introduced to basic concepts of set theory, using Venn diagrams to represent statements and evaluate arguments.
  • Students introduced to basic concepts of propositional logic and the use of truth-tables.
  • Students introduced to basic concepts of predicate logic and the use of mixed quantifiers.
  • Students introduced to the relationship between logic diagrams, circuit diagrams, and gate diagrams in computer science.
  • Students introduced to the use of logic in ordinary and scientific contexts.
  • Students provided a historical introduction to the development of modern probability theory and its relationship to logic.
  • Students introduced to basic concepts of statistical inference, with non-technical treatments of hasty and biased statistical generalizations. And a unique treatment of stereotypical thinking in terms of statistical syllogisms.
  • Students introduced to basic notions in analogical and causal inference.
  • Exercises requiring both passive (recognition) and active (construction) skills.
  • Exercises including locutions and examples from standard English and ethnic dialects of English (African-American, Hispanic-American, etc)
  • Answers for sample exercises provided, making the text closer to a self-teaching module

About the Contributors

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Smith College

Smith College

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