12. Formal Logic I

First of all, we now have to look at the connection between two concepts. We connect the concept of the horse and that of running when we say: The horse is running. - We call such a connection of concepts a “judgment.” The point now is that the connection of concepts is carried out in such a way that only correct judgments can arise. Here we have, first of all, only a connection of two concepts, quite independently of association and apperception. When we connect two ideas through their content, we form a judgment. An association is not a judgment, because, for example, you could also connect bull and horse with each other through an association. But the connection of ideas can also happen in more complicated ways. We can add judgment to judgment and thus come to a “conclusion.” A famous old example of this is the following: All men are mortal. Caius is a man. Therefore, Caius is mortal. - Two judgments are correct in these sentences, so the third one “Caius is mortal” that follows from them is also correct. A judgment is the combination of two terms, a subject with the predicate. If two judgments are combined and a third follows from them, that is an inference. We can now develop a general scheme for this: If “Caius” is the subject \(S\) and “mortal” the predicate \(P\), then in the judgment “Caius is mortal” we have the connection of the subject \(S\) with the predicate \(P: S = P\). According to this scheme, we can form thousands of judgments. But to come to a conclusion, we still need a middle term \(M\), in our example “human”, “all humans”. So we can set up the scheme for a conclusion: