Deductive Reasoning

Deductive Reasoning

Find out the meaning of deductive reasoning: meaning, examples.

What is it?

Deductive reasoning is a reasoning that starts from given & known statements to get a specific conclusion, usually by using logic.

Deductive reasoning is a reasoning
that starts from given & known statements
to get a specific conclusion,
usually by using logic.

Example 1

The given statements are true: If it's raining, then I'll stay home. If I stay home, then I'll call you. Write a true statement that can be derived from the given statements.

Starting from pq and qr,
you get pr logically.

So using the law of syllogism is deductive reasoning.

Law of contrapositive and law of detachment
are also deductive reasoning you've learned before.

Example 2

Solve the equation: x + 2 = 3.

Starting from x + 2 = 3,

you write -2 on both sides: x + 2 - 2 = 3 - 2
(This is the logic part: reflexive property.)

then you get the conclusion: x = 1.

So solving equations is deductive reasoning.