Abstract
In arithmetic we learned how to perform arithmetical operations (addition, multiplication, taking negatives, etc.) on numbers; then, in algebra, we generalized arithmetic using variables instead of numbers. Similarly, we can build compounded statements from simple statements, and we can study their general structures. The branch of mathematics dealing with the structure of statements is called logic. A study of the rules of logic is essential when one studies correct reasoning.
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© 2013 Béla Bajnok
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Bajnok, B. (2013). Let’s Be Logical!. In: An Invitation to Abstract Mathematics. Undergraduate Texts in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-6636-9_7
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DOI: https://doi.org/10.1007/978-1-4614-6636-9_7
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Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4614-6635-2
Online ISBN: 978-1-4614-6636-9
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