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public:t-713-mers:mers-24:reasoning-intro [2024/11/06 10:31] – [Syllogisms] thorissonpublic:t-713-mers:mers-24:reasoning-intro [2024/11/06 10:32] (current) – [Well-Known Syllogisms] thorisson
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 =====Well-Known Syllogisms===== =====Well-Known Syllogisms=====
-|  \\ Moduls Ponens  | If a conditional statement \\ **if P then Q** \\ is accepted, and the antecedent P holds, then the consequent Q may be inferred. \\ E.g. **If it's raining then its cloudy. \\ It is raining. \\ Then it's cloudy. ** |+|  \\ Moduls Ponens  | If a conditional statement \\ **if Pthen Q.** \\ is accepted, and its stated antecedent P holds, then the consequent Q must be rightly inferred. \\ E.g. **If it's raining then its cloudy. \\ It is raining. \\ Then it's cloudy. ** |
 |  \\ Moduls Tollens  | A mixed syllogism that takes the form of \\ **If P, then Q. \\ Not Q. \\ Therefore, not P.** \\ Application of the general truth that if a statement is true, then so is its contrapositive ("if not-B then not-A" is the contrapositive of "if A then B").   | |  \\ Moduls Tollens  | A mixed syllogism that takes the form of \\ **If P, then Q. \\ Not Q. \\ Therefore, not P.** \\ Application of the general truth that if a statement is true, then so is its contrapositive ("if not-B then not-A" is the contrapositive of "if A then B").   |
  
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