Otherwise, this method validity testing method does not work. Also, never place an X in a shaded area. This syllogism is valid, that is, on the assumption the premises are true, the conclusion necessarily follows, and if the premises are true the conclusion is necessarily true. Remember, validity does not equal truth, a frequent misconception. No shady characters are honest.
Some shady characters are highly respected people.
Therefore, some highly respected people are honest. By looking at the diagram it is clear that conclusion is not necessarily supported by the premises. You might say that you know from everyday experience that the conclusion to this syllogism is true, but the structure of this syllogism is such that it does not establish a necessary connection between the premises and the conclusion. All millionaires are rich people. Some Americans are rich people.