Laws of Detachment & Syllogism

Front

What is the Law of Detachment?

Back

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

Front

What is the Law of Syllogism?

Back

The Law of Syllogism allows one to draw a conclusion from two conditional statements when the conclusion of one statement is the hypothesis of the other.

Front

Provide 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

Provide an example of the Law of Syllogism.

Back

If it rains, then the ground gets wet. If the ground gets wet, then the plants grow. Therefore, if it rains, then the plants grow.

Tags

CCSS.L.2.1F

CCSS.L.3.1H

CCSS.L.3.1I

CCSS.L.5.1E

CCSS.L.7.1B

Front

What is a conditional statement?

Back

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

Front

What does it mean if a conclusion is 'not possible' in the context of the Law of Detachment?

Back

It means that the hypothesis of the conditional statement is not true, so the conclusion cannot be drawn.

Front

How can you identify a Law of Detachment scenario?

Back

A Law of Detachment scenario includes a true conditional statement and a true hypothesis that allows for a conclusion to be drawn.

Front

What is the structure of a conditional statement?

Back

The structure of a conditional statement is 'If P, then Q', where P is the hypothesis and Q is the conclusion.

Front

What is the difference between the Law of Detachment and the Law of Syllogism?

Back

The Law of Detachment applies to a single conditional statement, while the Law of Syllogism connects two conditional statements to form a new conclusion.

Front

Can the Law of Syllogism be used if the statements are not directly related?

Back

No, the Law of Syllogism can only be used if the conclusion of one statement is the hypothesis of the other.