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Consider the following statement:

He has blood on his hands and a knife, he must have stabbed somebody.

Now if I change the above statement to:

If a man has blood on his hands and a knife, he must have stabbed somebody.

What am I doing? Am I theorizing, or abstracting, or generalizing, or something else?
Thank you in advance.

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Both sentences are "jumping to a conclusion" or "jumping to an erroneous conclusion".

I have had blood on my hands while holding a knife. It was because I was clumsy and had cut myself. There are jobs in meat and fish handling where people get blood on their hands while holding a knife.

The sentence that starts "He had ..." might be regarded as theorizing. Given some observations (blood on hands, knife) you form a theory about the cause.

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