laws of detachment and syllogism

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 must also be 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 statements, then 'p implies r' is also true.

Front

Define Deductive Reasoning.

Back

Deductive Reasoning is the process of reasoning logically from given statements or facts to a conclusion.

Front

What is a Conditional Statement?

Back

A Conditional Statement is an if-then statement that expresses a relationship between two propositions.

Front

What is the Inverse of a Conditional Statement?

Back

The Inverse of a conditional statement 'If p, then q' is 'If not p, then not q'.

Front

What is the Converse of a Conditional Statement?

Back

The Converse of a conditional statement 'If p, then q' is 'If q, then p'.

Front

What is the Contrapositive of a Conditional Statement?

Back

The Contrapositive of a conditional statement 'If p, then q' is 'If not q, then not p'.

Front

How do you form a conclusion using the Law of Syllogism?

Back

To form a conclusion using the Law of Syllogism, identify two true conditional statements where the conclusion of one statement matches the hypothesis of the other.

Front

What is an example of the Law of Detachment?

Back

If it is raining, then the ground is wet. It is raining. Therefore, the ground is wet.

Front

What is an example of the Law of Syllogism?

Back

If it is snowing, then school is canceled. If school is canceled, then the big test is not given. Therefore, if it is snowing, then the big test is not given.