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Given: If you live in Orlando, then you live in Florida.

Given: Morgan does not live in Orlando.

Conclusion: Morgan does not live in Florida.

Is this sentence Law of Detachment, Law of syllogism, or invalid

User Tomathon
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Answer:

The law of detachment and syllogism is valid here

Step-by-step explanation:

The law of detachment and syllogism is associated with inductive reasoning. This law states that a conclusion is valid if the premise or hypothesis is valid, therefore if a then b. In others a results in b.

The law of detachment is denoted

[(a→b)∧a]→b

The law of syllogism derives from the law of detachment. Syllogism says that if a results in b and b results in c, then a results in c. In other words since a causes b and b causes c, then if a then c.

It is denoted

[(a→b)∧(b→c)]→(a→c)

In the above example, given: If you live in Orlando, then you live in Florida

Morgan does not live in Orlando, therefore it is concluded that he does not live in Florida

User MTCoster
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