Laws of Logic (Detachment and Syllogism)

Front

What is the Law of Syllogism?

Back

The Law of Syllogism states that if 'p implies q' and 'q implies r', then 'p implies r'. It allows for drawing a conclusion from two conditional statements.

Front

What is the Law of Detachment?

Back

The Law of Detachment states that if 'p implies q' is true and 'p' is true, then 'q' must also be true.

Front

If it is snowing heavily, then school will be canceled. If school is canceled, the big test will not be given today. What can we conclude?

Back

The big test will not be given today.

Front

If Jack goes to school, then it is Monday. Jack doesn't go to school. What can we conclude?

Back

Invalid conclusion; we cannot determine if it is Monday.

Front

If the sun is shining then it is a beautiful day. If it is a beautiful day then we will go hiking. What can we conclude if the sun is shining?

Back

If the sun is shining then we will go hiking.

Front

What law of logic is demonstrated by the statement: 'If it is raining, then the ground is wet. It is raining. Therefore, the ground is wet.'?

Back

Law of Detachment.

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 a hypothesis in a conditional statement?

Back

The hypothesis is the 'if' part of a conditional statement.

Front

What is a conclusion in a conditional statement?

Back

The conclusion is the 'then' part of a conditional statement.

Front

What does it mean to draw a conclusion?

Back

To draw a conclusion means to make a logical inference based on given premises or statements.