Finally, it’s important to understand logical arguments—especially illogical arguments. This is how you determine the truth and validity of what is being said. We hear these every day but may not pick out their logical flaws. You can think of these as a combination of math and argumentation. There is the conditional statement (X -> Y, true), the converse statement (Y -> X, usually a flaw), the inverse statement (Not X -> Not Y, usually a flaw), and the contrapositive statement (Not Y -> Not X, true). It’s not just word games; it’s understanding the foundations upon which true and misleading arguments are built.

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