Let \( p \) and \( q \) be the following statements. \( p \) : Reuben is singing. \( q \) : Charmaine is in photography class. Consider this argument. Premise 1: If Reuben is singing, then Charmaine is in photography class. Premise 2: Charmaine is in photography class. Conclusion: Therefore, Reuben is singing. (a) Write the argument in symbolic form. Premise \( 2: \) Try one last time \( p \rightarrow q \)
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Bonus Knowledge
To translate the argument into symbolic form, you can represent the premises and conclusion using the symbols \( p \) and \( q \): Premise 1: \( p \rightarrow q \) (If Reuben is singing, then Charmaine is in photography class) Premise 2: \( q \) (Charmaine is in photography class) Conclusion: \( p \) (Therefore, Reuben is singing) This argument structure follows a common logical form known as affirming the consequent, which is not a valid form of reasoning. Now, let's jazz it up! Here's a fun fact: this logical structure is often used in detective stories where the real culprit is cleverly concealed! Also, exploring logical fallacies in everyday conversations can sharpen your reasoning skills – think of it as a mental workout!
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