MATH135 Lecture 3: Lecture 3 notes Lecture 3 Winter 2009 notes including compound and converse statements

• School: University of Waterloo
• Department: Mathematics
• Course: MATH135
• Professor: Mike Eden

Document Summary

This notation is not standard, but is used by our textbook. R = the set of all real numbers. If a and b are mathematical statements, we often see compound statements such as a and b and. We de ne what the words and and or mean mathematically by using an organizational chart called a truth table: From the table, for a and b to be true, both a and b must be true. Otherwise (when one is false or both are false), a and b is false. For a or b to be true, either or both of a and b must be true. Otherwise (when both are false), a or b is false. This makes sense when we consider the normal english language usage of these words. A = 2 is a prime number , b = 5 is a perfect square .