MATH208: DISCRETE MATHEMATICS

U N D M AT H E M AT I C SM AT H 2 0 8 :D I S C R E T EM AT H E M AT I C SD E PA R T M E N T O F M AT H E M AT I C ST H E U N I V E R S I T Y O F N O R T H DA KOTAC opyright 2017 UND Mathematicspublished by department of mathematicsthe university of north 2005,2006,2007,2008,2009,2014,2015,2016, 2017 University of North Dakota MathematicsDepartmentPermission is granted to copy, distribute and/or modify this document under the terms of the GNU FreeDocumentation License, any later version published by the Free Software Foundation; withno Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included inthe section entitled "GNU Free Documentation License".

4.2 Fallacies 53 4.3 Arguments with quantifiers 53 4.4 Exercises 55 5 Sets: Basic Definitions 57 5.1 Specifying sets 57 5.1.1 Roster method 57 5.1.2 Set-builder notation 58 5.2 Special standard sets 58 5.3 Empty and universal sets 58 5.4 Subset and equality relations 59

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