Inductive and Deductive Reasoning

Front

What is deductive reasoning?

Back

Deductive reasoning is a logical process where a conclusion is reached by applying general principles to specific cases. It starts with a general statement or hypothesis and examines the possibilities to reach a specific, logical 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 inductive reasoning?

Back

Inductive reasoning is a logical process where generalizations are made based on specific observations or examples. It involves looking for patterns and making predictions based on those patterns.

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 syllogism?

Back

A syllogism is a form of deductive reasoning that consists of two premises followed by a conclusion. For example: Premise 1: All humans are mortal. Premise 2: Socrates is a human. Conclusion: 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 a conditional statement?

Back

A conditional statement is an if-then statement that expresses a relationship between two events or conditions. For example: If it rains (condition), then the ground will be wet (result).

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'. It is logically equivalent to the original statement.

Front

What is the difference between valid and invalid arguments?

Back

A valid argument is one where if the premises are true, the conclusion must also be true. An invalid argument has premises that do not guarantee the truth of the 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 an example of inductive reasoning?

Back

An example of inductive reasoning is observing that the sun has risen in the east every day of your life and concluding that the sun will rise in the east tomorrow.

Tags

CCSS.HSS.IC.B.3

Front

What is an example of deductive reasoning?

Back

An example of deductive reasoning is: All birds have feathers. A sparrow is a bird. Therefore, a sparrow has feathers.

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 a fallacy?

Back

A fallacy is a flaw in reasoning that renders an argument invalid. Common fallacies include ad hominem, straw man, and slippery slope.

Tags

CCSS.RI. 9-10.8

CCSS.RI.11-12.8

CCSS.RI.8.5

CCSS.RI.8.8

CCSS.RI.9-10.5

Front

What is a premise in logical reasoning?

Back

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

Tags

CCSS.RI.8.1

CCSS.RI.8.8

CCSS.RL.11-12.1

CCSS.RL.8.1

CCSS.RL.9-10.1