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<p>(e.g. the commutative and associative laws for AND and OR), some do not (e.g. the <a href="page.php?w=distributive_law">distributive law</a>s for AND, OR and NOT).</p>

<p><big> Usefulness of propositional formulas </big></p>
<p>Analysis: In <a href="page.php?w=deductive_reasoning">deductive reasoning</a>, philosophers, rhetoricians and mathematicians reduce arguments to formulas and then study them (usually with <a href="page.php?w=truth_table">truth table</a>s) for correctness (soundness). For example: Is the following argument sound?<br/>
: "Given</p><p>
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