2.5 Laws of Detachment and Syllogism

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 is also true.

Front

What is the Law of Syllogism?

Back

The Law of Syllogism states that if 'If p, then q' and 'If q, then r' are both true statements, then 'If p, then r' is also true.

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 is the converse of a conditional statement?

Back

The converse of a conditional statement 'If p, then q' is 'If q, then 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

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 an example of a counterexample?

Back

A counterexample is an example that disproves a statement. For instance, if the statement is 'All birds can fly', a penguin is a counterexample.

Front

What is inductive reasoning?

Back

Inductive reasoning is a type of reasoning that involves making generalizations based on specific examples or patterns.

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 deductive reasoning?

Back

Deductive reasoning is a type of reasoning that starts with general statements and deduces specific conclusions.

Tags

CCSS.RI.8.1

CCSS.RI.8.8

CCSS.RL.11-12.1

CCSS.RL.8.1

CCSS.RL.9-10.1

Front

How do you form a valid conclusion using the Law of Syllogism?

Back

To form a valid conclusion using the Law of Syllogism, identify two true conditional statements where the conclusion of one statement matches the hypothesis of the other.