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Law of Syllogism

If p->q and q->r are true conditionals, then p -> r is also true.

(P)If people live in Manhattan, (q) then they live in New York.

(q)If people live in New York, (r) then they live in the United States.

Law of Detachment

IF p-> q is a true conditional and p is true, then q is true.

If you break an item in a store, you must pay for it. (P)

Jill broke a vase in Potter's Gift Shop. (q)

Jill must pay for the vase.

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Q: Examples of deductive reasoning in geometry?
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