Laws of Logic

Front

What is the Law of Detachment?

Back

The Law of Detachment states that if a conditional statement is true and its hypothesis is true, then the conclusion is also true.

Front

What is the Law of Syllogism?

Back

The Law of Syllogism states that if 'p implies q' and 'q implies r' are both true, then 'p implies r' is also true.

Front

Define a conditional statement.

Back

A conditional statement is an if-then statement that has a hypothesis (if part) and a conclusion (then part).

Front

What is the hypothesis in a conditional statement?

Back

The hypothesis is the part of the conditional statement that follows 'if'.

Front

What is the conclusion in a conditional statement?

Back

The conclusion is the part of the conditional statement that follows 'then'.

Front

What does 'p -> q' mean in symbolic logic?

Back

It means 'if p, then q', where p is the hypothesis and q is the conclusion.

Front

What is the contrapositive of a conditional statement?

Back

The contrapositive of 'if p, then q' is 'if not q, then not p'.

Front

What is the inverse of a conditional statement?

Back

The inverse of 'if p, then q' is 'if not p, then not q'.

Front

What is the converse of a conditional statement?

Back

The converse of 'if p, then q' is 'if q, then p'.

Front

What does 'invalid' mean in logical reasoning?

Back

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