# Logic and Proof

# Topics Exercises

#### Building Mathematical Statements

Mathematical statements are exactly the same as fashion statements. Except instead of clothes, we have mathematical formulas. Hopefully we won't get chilly walking down the runway.
The simplest ki...

#### Conditional Statements

We make several kinds of statements every single day. Some of them are simple expressions of fact. You might say, "I am going to Disneyland today!" or, "My favorite ride is Space Mountain!...

#### The Quality of Equality

Understanding equality, or sameness, is a universal theme in all areas of mathematics. When mathematicians say, "2 + 2 = 4," they mean that the two things on either side of the equals sign are lite...

#### Proofs

When detectives Benson and Stabler search a suspect's apartment, they aren't looking for just anything to give to the prosecutor. They need solid, tangible, and legally obtained evidence. (Although...