Hi class my name’s Amanda and I will be your professor for the day. Today, I am going to teach you guys about different types of statements. First I am going to give a some general terms about Logic and Mathematical Values.

A statement is a sentence that is true or false.

A compound statement is a statement that contains one or more statements.

We are going to learn about in which ways 2 or more statements can be connected.

The first is a Negation: ~

This symbol means “not”.

An example of this can be:

p= Kelsey dyed her hair blonde.

~P= Kelsey did not dye her hair.

A trick to remember this can be that the “~” symbol looks like it altering the sentence because of the wave is it creating, thus making it opposite. A helpful trick to remember that “negation” means “not” is that both start with an N.

The next is Conjunction: Λ

This symbol adds “and” together with the two statements.

An example of this can be:

p: Kelsey dyed her hair blonde.

q: Kelsey baked a pumpkin pie.

p^q: Kelsey dyed her blonde hair and Kelsey baked a pumpkin pie.

A trick to remember that the “^” symbol is that that it looks like / and \

are conjoining at the top, making it / + \ = /\. Like the sentences combining. To remember that conjunction means and, you can remember you are conjoining two sentences.

The next is disjunction: V

This symbol adds the word “or” between two statements.

An example of this can be:

p= Kelsey dyed her hair blonde

q= Kelsey baked a pumpkin pie.

pVq= Kelsey dyed her hair blonde or baked a pumpkin pie.

A trick to remember that V is or is that the V split looks like you have two options at each point.

The last one is conditional: →

The symbol adds “if” before “p” and “then” before “q”

An example of this can be:

p= Kelsey dyed her hair blonde.

q= Kelsey was not blonde beforehand.

p→ q= If Kelsey dyer her hair blonde, then Kelsey was not blonde beforehand.

A trick to remember that is that the → furthers the statement (hence if-then) and and arrow is pointing to the future.