Consider the following logical inferences(A) “If you have a curr...
Inference A, is Modus Ponens.
Inference B, is false.
Let P = Sita go to school.
Q = Ram go to school.
For P →Q to be true.
If P is true then Q has to be true. (There is no other choice for Q).
But if P is false then Q can be anything (True or False). Still P →Q is true.
This is also known as "The fallacy of denying the antecedent".
P →Q
~P
∴(Nothing can be concluded).
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Consider the following logical inferences(A) “If you have a curr...
If it is raining, then the ground is wet.
(B) If the ground is wet, then it has been raining.
(C) If it has been raining, then there are clouds in the sky.
(D) If there are clouds in the sky, then it is likely to rain.
Logical Inference 1: If it is raining, then there are clouds in the sky.
This inference can be derived from (A) and (C). If it is raining (A), then the ground is wet. If the ground is wet, then it has been raining (B). If it has been raining, then there are clouds in the sky (C). Therefore, if it is raining, then there are clouds in the sky.
Logical Inference 2: If the ground is wet, then it is likely to rain.
This inference can be derived from (B) and (D). If the ground is wet (B), then it has been raining. If there are clouds in the sky (D), then it is likely to rain. Therefore, if the ground is wet, then it is likely to rain.
Logical Inference 3: If there are clouds in the sky, then the ground is wet.
This inference cannot be derived from the given statements. It is possible for there to be clouds in the sky without it raining, and therefore the ground may not be wet.
Consider the following logical inferences(A) “If you have a curr...
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