Laws of Logic

Front

What is the Law of Logic that states if a figure is a square, then it is a polygon?

Back

This is an example of a conditional statement, which is a fundamental concept in logic.

Tags

CCSS.HSG.CO.C.11

Front

What conclusion can be drawn from the statement: 'If you go fishing, then you will need to bring your fishing rod' and 'You go fishing'?

Back

You will need to bring your fishing rod.

Front

What does it mean to negate a statement in logic?

Back

To negate a statement means to state the opposite of that statement.

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 if-then statement that follows from the true statements: 'If a number is divisible by 10, then it is divisible by 2' and 'If a number is divisible by 2, then it is even'?

Back

If a number is divisible by 10, then it is even.

Front

What is the Law of Detachment in logic?

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 a syllogism in logic?

Back

A syllogism is a form of reasoning in which a conclusion is drawn from two given or assumed propositions (premises).

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 a valid and an invalid argument?

Back

A valid argument is one where if the premises are true, the conclusion must also be true. An invalid argument does not guarantee the truth of the conclusion even if the premises are 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 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 the inverse of a conditional statement?

Back

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

Front

How can you determine if a statement is logically valid?

Back

A statement is logically valid if it follows the rules of logic and the conclusions drawn from the premises are true.