Deductive and inductive reasoning pdf reasoning goes in the same direction as that of the conditionals, and links premises with conclusions. If all premises are true, the terms are clear, and the rules of deductive logic are followed, then the conclusion reached is necessarily true.
In inductive reasoning, the conclusion is reached by generalizing or extrapolating from specific cases to general rules, i. Deductive reasoning differs from abductive reasoning by the direction of the reasoning relative to the conditionals. Deductive reasoning goes in the same direction as that of the conditionals, whereas abductive reasoning goes in the opposite direction to that of the conditionals.
The first premise states that all objects classified as “men” have the attribute “mortal”. The conclusion then states that “Socrates” must be “mortal” because he inherits this attribute from his classification as a “man”.
It might be true that other angles outside this range are also obtuse. The law of modus tollens is derived by combining contraposition and modus ponens. If it is raining, then there are clouds in the sky. There are no clouds in the sky.
Thus, it is not raining. The law of syllogism takes two conditional statements and forms a conclusion by combining the hypothesis of one statement with the conclusion of another.
If Larry is sick, then he will be absent. If Larry is absent, then he will miss his classwork. Therefore, if Larry is sick, then he will miss his classwork.