You can use the Law of Syllogism and the Law of Detachment together to make conclusions.
What can you conclude from the given information?
Given: If you live in Accra, then you live in Ghana.
If you live in Ghana, then you live in Africa. Aissa lives in Accra.
If you live in Accra, then you live in Ghana.
If you live in Ghana, then you live in Africa. Aissa lives in Accra.
You can use the first two statements and the Law of Syllogism to conclude:
If you live in Accra, then you live in Africa.
You can use this new conditional statement, the fact that Aissa lives in Accra, and the Law of Detachment to make a conclusion.
Does the conclusion make sense?
Accra is a city in Ghana, which is an African nation. So if a person lives in Accra, then that person lives in Africa. The conclusion makes sense.
You conclude: Aissa lives in Africa.
What can you conclude from the given information? What is your reasoning?
If a river is more than 4000 mi long, then it is longer than the Amazon.
If a river is longer than the Amazon, then it is the longest river in the world. The Nile is 4132 mi long.
If possible, make a conclusion from the given true statements. What reasoning did you use?
You go bowling.
Figure ABC is a three-sided polygon.
If it is Saturday, then you walk to work.
If you walk to work, then you wear sneakers.
Error Analysis What is the error in the reasoning below?