Skip to ContentGo to accessibility page
OpenStax Logo
Contemporary Mathematics

Key Terms

Contemporary MathematicsKey Terms

Key Terms

2.1 Statements and Quantifiers

  • logic
  • logical statement
  • truth values
  • symbolic form
  • negation of a logical statement
  • quantifier
  • premises
  • conclusion
  • inductive logical arguments

2.2 Compound Statements

  • compound statement
  • connective
  • conjunction
  • disjunction
  • conditional
  • hypothesis
  • conclusion
  • biconditional
  • dominance of connectives

2.3 Constructing Truth Tables

  • Truth table
  • Multiplication principle
  • Valid

2.5 Equivalent Statements

  • logically equivalent
  • tautology
  • inverse
  • converse
  • contrapositive

2.6 De Morgan’s Laws

  • Boolean logic
  • negation of a conditional

2.7 Logical Arguments

  • sound
  • fallacy
  • deductive arguments
  • law of detachment
  • law of denying the consequent
  • chain rule for conditional arguments
PreviousNext
Order a print copy
Citation/Attribution

This book may not be used in the training of large language models or otherwise be ingested into large language models or generative AI offerings without OpenStax's permission.

Want to cite, share, or modify this book? This book uses the Creative Commons Attribution License and you must attribute OpenStax.

Attribution information
  • If you are redistributing all or part of this book in a print format, then you must include on every physical page the following attribution:

    Access for free at https://openstax.org/books/contemporary-mathematics/pages/1-introduction

  • If you are redistributing all or part of this book in a digital format, then you must include on every digital page view the following attribution:

    Access for free at https://openstax.org/books/contemporary-mathematics/pages/1-introduction

Citation information

© Mar 18, 2026 OpenStax. Textbook content produced by OpenStax is licensed under a Creative Commons Attribution License . The OpenStax name, OpenStax logo, OpenStax book covers, OpenStax CNX name, and OpenStax CNX logo are not subject to the Creative Commons license and may not be reproduced without the prior and express written consent of Rice University.