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Modus Tollens Denying the consequent - PowerPoint PPT Presentation


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p. ————>. q. Modus Toll ens (Denying the consequent). The modus tollens is one type of deductive inference . If Rex is a dog, Rex has four legs. Rex has not four legs. ---------------------------------------------- Rex is not a dog. p ————> q (If p, then q) Not q (given: not q)

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modus toll ens denying the consequent

p

————>

q

Modus Tollens (Denying the consequent)

The modus tollens is one type of deductive inference.

If Rex is a dog, Rex has four legs.

Rex has not four legs.

----------------------------------------------

Rex is not a dog

p ————> q (If p, then q)

Not q (given: not q)

-------------------------------------------

Not p (Inference: not p)

Not q

Not p

Please note that denying the antecedent is logically unsound: Even if Rex is not a dog, he can well have four legs.

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