Using the Law of Syllogism, what conclusion can you draw from the following two statements? If it rains, then the roof leaks. If the roof leaks, then the ceiling gets damaged. If the roof leaks, then the ceiling gets damaged. If the roof leaks, then it rained. If it rains, then the ceiling gets damaged. If the ceiling gets damaged, then it rained.
The conclusion that can be drawn from the given statements using the Law of Syllogism is: If the roof leaks, then it rained.
From the two statements "If it rains, then the roof leaks" and "If the roof leaks, then the ceiling gets damaged," we can conclude using the Law of Syllogism that "If it rains, then the ceiling gets damaged."
The Law of Syllogism allows us to draw a conclusion based on two conditional statements. The given statements are as follows:
1. If it rains, then the roof leaks.
2. If the roof leaks, then the ceiling gets damaged.
To apply the Law of Syllogism, we need to identify a common term between the first statement's consequent and the second statement's antecedent. In this case, the common term is "the roof leaks."
Using the Law of Syllogism, we can combine these two statements to form a new statement:
1. If it rains, then the roof leaks.
2. If the roof leaks, then the ceiling gets damaged.
3. Therefore, if it rains, then the ceiling gets damaged.
So, the conclusion we can draw from the given statements using the Law of Syllogism is: If it rains, then the ceiling gets damaged.