Conditional Statements, Inductive, and Deductive Reasoning

Front

What is a conditional statement?

Back

A conditional statement is a logical statement that has two parts: a hypothesis (if) and a conclusion (then). For example, "If it rains, then the ground is wet."

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 hypothesis in a conditional statement?

Back

The hypothesis is the part of the conditional statement that follows 'if'. It represents the condition that must be met for the conclusion to be true.

Front

What is the conclusion in a conditional statement?

Back

The conclusion is the part of the conditional statement that follows 'then'. It represents the result that follows if the hypothesis is true.

Tags

CCSS.L.2.1F

CCSS.L.8.1C

CCSS.L.8.3A

Front

What is a counterexample?

Back

A counterexample is an example that disproves a statement or claim. For instance, if a claim states that all birds can fly, a penguin serves as a counterexample.

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 inductive reasoning?

Back

Inductive reasoning involves making generalizations based on specific observations or examples. For example, observing that the sun rises every morning and concluding that it will rise every day.

Front

What is deductive reasoning?

Back

Deductive reasoning involves drawing specific conclusions from general principles or premises. For example, if all humans are mortal and Socrates is a human, then Socrates is mortal.

Front

What is a biconditional statement?

Back

A biconditional statement is a statement that combines a conditional statement and its converse, expressed as 'p if and only if q'. It is true when both parts are true.

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'. It switches the hypothesis and conclusion.

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'. It negates both the hypothesis and conclusion.