LAW OF DETACHMENT

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 a conditional statement?

Back

A conditional statement is an if-then statement that expresses a relationship between two propositions, where the first proposition is the hypothesis and the second is the conclusion.

Front

What is a hypothesis in a conditional statement?

Back

The hypothesis is the part of a conditional statement that follows 'if'. It is the condition that must be met.

Front

What is a conclusion in a conditional statement?

Back

The conclusion is the part of a conditional statement that follows 'then'. It is the result that follows if the hypothesis is true.

Front

If the conditional statement is 'If it rains, then the ground is wet', what is the hypothesis?

Back

The hypothesis is 'It rains'.

Front

If the conditional statement is 'If it rains, then the ground is wet', what is the conclusion?

Back

The conclusion is 'The ground is wet'.

Front

What can be concluded if the hypothesis of a true conditional statement is true?

Back

If the hypothesis is true, then the conclusion must also be true according to the Law of Detachment.

Front

What happens if the hypothesis of a conditional statement is false?

Back

If the hypothesis is false, no conclusion can be drawn about the truth of the conclusion.

Front

Provide an example of a conditional statement and its application using the Law of Detachment.

Back

Example: Conditional: If a shape is a square, then it has four equal sides. Premise: This shape is a square. Conclusion: This shape has four equal sides.

Front

What does it mean if a conclusion cannot be drawn from a conditional statement?

Back

It means that either the hypothesis is false or the conditional statement does not apply to the given situation.