Deductive Reasoning

Front

What is deductive reasoning?

Back

Deductive reasoning is a logical process where a conclusion is reached based on the concordance of multiple premises that are generally assumed to be true.

Tags

CCSS.RI.7.8

CCSS.RI.8.1

CCSS.RI.8.8

CCSS.RL.8.1

CCSS.RL.9-10.1

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 must also be true.

Front

What is the Law of Syllogism?

Back

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

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 does it mean if a statement is invalid?

Back

A statement is invalid if the conclusion does not logically follow from the premises.

Tags

CCSS.RI.8.1

CCSS.RI.8.8

CCSS.RL.7.1

CCSS.RL.8.1

CCSS.RL.9-10.1

Front

Provide an example of a valid conclusion using the Law of Detachment.

Back

If it rains, then the ground is wet. It is raining. Therefore, the ground is wet.

Front

Provide an example of a valid conclusion using the Law of Syllogism.

Back

If it is a dog, then it is an animal. If it is an animal, then it is alive. Therefore, if it is a dog, then it is alive.

Front

What is a premise in deductive reasoning?

Back

A premise is a statement or proposition that provides the foundation for an argument or conclusion.

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 contrapositive of a conditional statement?

Back

The contrapositive of a conditional statement 'If P, then Q' is 'If not Q, then not P.'

Front

What is a conclusion in deductive reasoning?

Back

A conclusion is the statement that follows logically from the premises in a deductive argument.