I have a question about the identity of a certain kind of fallacy, namely:

I have a question about the identity of a certain kind of fallacy, namely:

I have a question about the identity of a certain kind of fallacy, namely: A = C B = C therefore A = C Confusingly, I have read that the above syllogism is valid; and yet consider this argument I've heard recently: Obama = Good speaker Hitler = Good speaker therefore Obama = Hitler Clearly the latter is a fallacy. So, I have two questions, really: 1) What is the name of this fallacy? 2) How can it be a fallacy if the first syllogism (A = C, B = C, therefore A = C), whose form it follows, is considered to be valid . . . or am I wrong about it being valid?

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