Deductive Reasoning

Front

What is deductive reasoning?

Back

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

Tags

CCSS.L.11-12.6

CCSS.L.8.6

CCSS.L.9-10.6

CCSS.W.11-12.2D

CCSS.W.9-10.2D

Front

What does deductive reasoning use to form its arguments?

Back

Facts, definitions, accepted properties, and laws of logic.

Front

What can be concluded if the premises are true in deductive reasoning?

Back

The conclusion must also be true.

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 Law of Detachment?

Back

If 'p implies q' is true and 'p' is true, then 'q' must also be true.

Front

Provide an example of the Law of Detachment.

Back

If it is raining (p), then the ground is wet (q). It is raining (p). Therefore, the ground is wet (q).

Front

What is the Law of Syllogism?

Back

If 'p implies q' is true and 'q implies r' is true, then 'p implies r' is true.

Front

Provide an example of the Law of Syllogism.

Back

If it rains (p), then the ground is wet (q). If the ground is wet (q), then the flowers will bloom (r). Therefore, if it rains (p), then the flowers will bloom (r).

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 an example of a deductive argument?

Back

All humans are mortal. Socrates is a human. Therefore, Socrates is mortal.

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 difference between deductive and inductive reasoning?

Back

Deductive reasoning starts with general statements and moves to a specific conclusion, while inductive reasoning starts with specific observations and moves to a general conclusion.

Tags

CCSS.L.11-12.6

CCSS.L.9-10.6

CCSS.W.11-12.2D

CCSS.W.8.2D

CCSS.W.9-10.2D

Front

What is a premise in deductive reasoning?

Back

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

Tags

CCSS.RI.8.1

CCSS.RI.8.8

CCSS.RL.11-12.1

CCSS.RL.8.1

CCSS.RL.9-10.1