 Learning to Reason: An Introduction to Logic, Sets, and Relations
ISBN: 978-0-471-37122-9
Paperback
454 pages
July 2000
US $135.00
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LOGICAL REASONING.
Symbolic Language.
Two Quantifiers.
Five Logical Operators.
Laws of Logic.
Logic Circuits.
Translations.
WRITING OUR REASONING.
Proofs and Arguments.
Proving Implications.
Writing a Proof.
Working with Quantifiers.
Using Cases.
Proof by Contradiction.
Mathematical Induction.
Axiomatic Systems.
SETS - THE BUILDING BLOCKS.
Sets and Elements.
Operations on Sets.
Multiple Unions and Intersections.
Cross Product.
Finite Sets.
Infinite Sets.
RELATIONS - THE ACTION.
Relations.
Equivalence Relations.
Functions.
Order Relations.
Summary.
Appendices.
Bibliography.
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