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Logical equivalence - SS2 Mathematics Lesson Note

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A situation of logical equivalence arises when the truth values of two compound statements are the same. For instance, an implicative statement and a contradiction are logical equivalents. So is a converse and inverse statement.

	Implication	Converse	Inverse	Contrapositive
$p$	$q$	$\sim p$	$\sim q$	$p \Rightarrow q$	$q \Rightarrow p$	$\sim p \Rightarrow \sim q$	$\sim q \Rightarrow\sim p$
$T$	$T$	$F$	$F$	$T$	$T$	$T$	$T$
$T$	$F$	$F$	$T$	$F$	$T$	$T$	$F$
$F$	$T$	$T$	$F$	$T$	$F$	$F$	$T$
$F$	$F$	$T$	$T$	$T$	$T$	$T$	$T$

Recommended: Questions and Answers on Logical Reasoning for SS2 Mathematics

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