Mathematics
Easy

Question

# If statements 1 and 2 are true, is statement 3 a valid conclusion by the law of syllogism? Why or why not?Statement 1: If you are studying the Gettysburg Address, then you are studying the Civil War.Statement 2: If you are studying the Civil War, then you are a History Major.Statement 3: If you are studying the Gettysburg Address, then you are a history major.

Hint:

## The correct answer is: ValidIt follows the pattern for the law of syllogism.If p, then q.If q, then r.If p, then r

### In the question it is given that,Statement 1: If you are studying the Gettysburg Address, then you are studying the Civil War.Statement 2: If you are studying the Civil War, then you are a History Major.Statement 3: If you are studying the Gettysburg Address, then you are a history major.Here, we have to determine the whether Law of Syllogism is applied here or not.Let statement (1) be p, statement (2) be q and statement (3) be r.From the given statement we can say that p equals to q and q equals r.So, p equals r.Thus, the above statements are valid.Therefore, the correct option is valid.

In Law of Syllogism if a statement p equals q and if q equals r, then p equals r whereas in Law of Detachment if a statement p equals q where p is true then q is also true.