Instructions: Match the English statements with sentences of propositional logic

Question

Instructions: Match the English statements with sentences of propositional logic. Note: Some of the options may be used more than once, while others will not be used at all. Assume the following symbols for simple statements. E for "The Enterprise is destroyed." D for "Kirk is dead." - # If the Enterprise is destroyed, then Kirk is dead Kirk is dead, if the Enterprise is destroyed c. DvE #jlf Kirk is dead, then the Enterprise is destroyed. d.DE *Kirk is dead only if the Enterprise is destroyed Kirk is dead if and only if the Enterprise is destroyed.

Explanation / Answer

If the Enterprise is destroyed then Kirk is dead: This can be matched with b.

Kirk is dead if the Enterprise is destroyed. This can be matched with b again.

If Kirk is dead, then the Enterprise is destroyed. This can be matched with a.

Kirk is dead only if the Enterprise is destroyed. This can be matched with d.

Kirk is dead if and only if the Enterprise is destroyed. This can be matched with d again.

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