Law 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 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

If 'If it rains, then the ground is wet' is true and it is raining, what can we conclude?

Back

The ground is wet.

Front

If 'If you study, then you will pass' is true and you pass, can we conclude that you studied?

Back

No, we cannot conclude that you studied.

Front

What is a conditional statement?

Back

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

Tags

CCSS.RI.8.1

CCSS.RI.8.8

CCSS.RL.11-12.1

CCSS.RL.8.1

CCSS.RL.9-10.1

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'.

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A

Front

If 'If you eat too much, then you will feel sick' is true and you feel sick, what can we conclude?

Back

No valid conclusion can be drawn.

Front

What does it mean if a conclusion is valid?

Back

A conclusion is valid if it logically follows from the premises or statements provided.

Tags

CCSS.RI.8.1

CCSS.RI.8.8

CCSS.RL.11-12.1

CCSS.RL.8.1

CCSS.RL.9-10.1

Front

Provide an example of the Law of Syllogism.

Back

If 'If it is sunny, then we will go to the beach' and 'If we go to the beach, then we will swim', then 'If it is sunny, then we will swim'.