Which statement is the Law of Syllogism?

Question 2 options:

If p→q and q→r are true statements, then r→p is a true statement.

If p→q is a true statement and q is true, then p is true.

If p→q is a true statement and p is true, then q is true.

If p→q and q→r are true statements, then p→r is a true statement.

Respuesta :

The answer is choice D

The law of syllogism is: if p--> q and q--> r, then p--> r

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Consider three towns: P, Q, R
Let's say we start at town P.
If we go to town Q, then we can use the notation P --> Q
The notation Q --> R tells us we move from town Q to town R
Overall, we started with P and end ultimately with R
Therefore, P --> R

Another way to think of the law of syllogism is to think of a sequence of chain events. The links of the chain combine together.
Example:
p = it rains
q = it gets wet
r = there's a high chance of an accident on the road

So,
p --> q becomes "if it rains, then it gets wet"
q --> r becomes "if it gets wet, there's a chance of an accident on the road"
p --> r becomes "if it rains, then there's a chance of an accident on the road"