Truth Tables

Front

What is a truth table?

Back

A truth table is a mathematical table used to determine the truth value of a logical expression based on the truth values of its components.

Front

What does the symbol '~' represent in logic?

Back

The symbol '~' represents negation, meaning 'not'. For example, if p is true, then ~p is false.

Front

What is the truth value of 'True and False'?

Back

False

Front

What is the truth value of 'True or False'?

Back

True

Front

What does 'p and q' mean in logical terms?

Back

It means both p and q must be true for the entire expression to be true.

Front

What does 'p or q' mean in logical terms?

Back

It means at least one of p or q must be true for the entire expression to be true.

Front

What is the truth value of '2 + 2 = 4 or 3 + 3 = 7'?

Back

True

Front

What is the truth value of 'If it rains, then the ground is wet'?

Back

This statement is only false if it rains and the ground is not wet.

Front

What is a valid argument in logic?

Back

An argument is valid if the conclusion logically follows from the premises.

Front

What is an invalid argument in logic?

Back

An argument is invalid if the conclusion does not logically follow from the premises.