Logic Review

Front

What is a hypothesis in a conditional statement?

Back

The hypothesis is the part of a conditional statement that follows the 'if'. For example, in 'If I have a Siberian Husky, then I have a dog', the hypothesis is 'I have a Siberian Husky.'

Front

What is the conclusion in a conditional statement?

Back

The conclusion is the part of a conditional statement that follows the 'then'. For example, in 'If I have a Siberian Husky, then I have a dog', the conclusion is 'I have a dog.'

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'. For example, the inverse of 'If I have a Siberian Husky, then I have a dog' is 'If I do not have a Siberian Husky, then I do not have a dog.'

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'. For example, the converse of 'If I have a Siberian Husky, then I have a dog' is 'If I have a dog, then I have a Siberian Husky.'

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'. For example, the contrapositive of 'If a person is a banjo player, then the person is a musician' is 'If a person is not a musician, then the person is not a banjo player.'

Front

How do you identify the hypothesis in a conditional statement?

Back

The hypothesis is identified as the part that comes after 'if' in a conditional statement.

Front

How do you identify the conclusion in a conditional statement?

Back

The conclusion is identified as the part that comes after 'then' in a conditional statement.

Front

What is the difference between a hypothesis and a conclusion?

Back

The hypothesis is the condition that leads to a conclusion, while the conclusion is the result that follows from the hypothesis.

Front

What does it mean to negate a statement?

Back

To negate a statement means to state the opposite of that statement. For example, the negation of 'It is raining' is 'It is not raining.'

Front

What is a conditional statement?

Back

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