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This Concept Map, created with IHMC CmapTools, has information related to: reductio-ad-absurdum, x is not 0 therefore (ArgScheme: modus ponens) dividing x/0 results in some well-defined quantity Q, if the number x equals Q times 0, and if Q times 0 equals 0, then x = 0 therefore (ArgScheme: modus ponens) x = 0, the number x equals Q times 0 therefore (ArgScheme: modus ponens) x = 0, Q times 0 equals 0 therefore (ArgScheme: modus ponens) x = 0, if x/0=Q, then x=Qx0 therefore (ArgScheme: modus ponens) the number x equals Q times 0, if x is not 0, and if it is possible to divide x by 0, then dividing x/0 results in some well-defined quantity Q therefore (ArgScheme: modus ponens) dividing x/0 results in some well-defined quantity Q, dividing x/0 results in some well-defined quantity Q therefore (ArgScheme: modus ponens) the number x equals Q times 0, x is not 0 proof by reductio ad absurdum dividing a number x other than zero by zero is not possible, it is possible to divide x by 0 therefore (ArgScheme: modus ponens) dividing x/0 results in some well-defined quantity Q, x = 0 contrary to assumption x is not 0