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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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How is inductive reasoning different from deductive reasoning?
Inductive reasoning varies from deductive reasoning as follows: 1) inductive reasoning is a reason supporting an argument and 2) deductive reasoning is an argument against an argument.
What type of reasoning does a mathematical proof use?
Deductive reasoning In mathematics, a proof is a deductive argument for a mathematical statement. Deductive reasoning, unlike inductive reasoning, is a valid form of proof. It is, in fact, the way in which geometric proofs are written.
Who was the scientist that preferred inductive reasoning to deductive reasoning?
Rabelais
What are the two kinds of logic?
Deductive reasoning and inductive reasoning
How is deductive reasoning used in algebra and geometry proofs?
Both are axiomatic systems which consist of a small number of self-evident truths which are called axioms. The axioms are used, with rules of deductive and inductive logic to prove additional statements.
