G 2.2 Inductive and Deductive Reasoning

Front

What is inductive reasoning?

Back

Inductive reasoning is a method of reasoning in which a general conclusion is drawn from specific examples or observations.

Front

What is deductive reasoning?

Back

Deductive reasoning is a logical process where a conclusion follows necessarily from the premises provided, meaning if the premises are true, the conclusion must also be true.

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 a conditional statement?

Back

A conditional statement is an if-then statement that expresses a relationship between two propositions, where one proposition (the hypothesis) implies the other (the conclusion).

Front

What is a premise in logical reasoning?

Back

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

Front

If a figure is a square, what can we conclude about it?

Back

If a figure is a square, then it is also a rectangle and a parallelogram.

Front

If it is raining, then the ground is wet. It is raining. What can we conclude?

Back

The ground is wet.

Front

If a triangle has angles of 30°, 60°, and 90°, what type of triangle is it?

Back

It is a right triangle.

Front

If a figure is a quadrilateral, what can we conclude about its angles?

Back

The sum of the interior angles of a quadrilateral is 360°.

Front

What is a counterexample?

Back

A counterexample is an example that disproves a statement or proposition.