Logical Reasoning

Simple Statements

Truth Tables

Logical Connectives

All of the above

Lagos is the largest city in Nigeria.

How are you?

Come here!

The sun rises in the west.

A simple statement is a single idea, while a compound statement combines two or more simple statements.

A simple statement can be true or false, while a compound statement cannot.

A simple statement uses logical connectives, while a compound statement does not.

Reverses the truth value

Combines two statements

Outputs true only when both inputs are true

Outputs true when at least one input is true

I am a mathematician.

I am not a mathematician.

I am a scientist.

I am a teacher.

F F F T

F T T F

T F T T

F T F T

True

False

Undefined

Not applicable

True if both statements are true

True if at least one statement is true

True if both statements are false

True if neither statement is true

negation

truth

disjunction

conjunction

A statement can be both true and false

Truth tables visualize all possible outcomes

Negation flips the truth value

Compound statements use only 'and'