Academics From The United States

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April 10, 2026

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"For reasons mentioned at the beginning of this section, we cannot offer here a precise structural definition of semantical category and will content ourselves with the following approximate formulation: two expressions belong to the same semantical category if (I) there is a sentential function which contains one of these expressions, and if (2) no sentential function which contains one of these expressions ceases to be a sentential function if this expression is replaced in it by the other. It follows from this that the relation of belonging to the same category is reflective, symmetrical and transitive. By applying the principle of abstraction, all the expressions of the language which are parts of sentential functions can be divided into mutually exclusive classes, for two expressions are put into one and the same class if and only if they belong to the same semantical category, and each of these classes is called a semantical category. Among the simplest examples of semantical categories it suffices to mention the category of the sentential functions, together with the categories which include respectively the names of individuals, of classes of individuals, of two-termed relations between individuals, and so on. Variables (or expressions with variables) which represent names of the given categories likewise belong to the same category."

- Alfred Tarski

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"Alchian: Two things you [Hayek] wrote that had a personal influence on me, after your Prices and Production, were 'Individualism and Economic Order' [sic — Alchian certainly has in mind Hayek's 'Economics and Knowledge'] and 'The Use of Knowledge in Society.' These I would regard as your two best articles, best in terms of their influence on me. Hayek: 'Economics and Knowledge' — the '37 one — which is reprinted in the volume, is the one which marks the new look at things in my way. Alchian: It was new to you, too, then? Was it a change in your own thinking? Hayek: Yes, it was really the beginning of my looking at things in a new light. … I was aware that I was putting down things which were fairly well known in a new form, and perhaps it was the most exciting moment in my career when I saw it [i.e. 'Economics and Knowledge'] in print. Alchian: Well, I'm delighted to hear you say that, because I had that copy typed up to mimeograph for my students in the first course I gave here [i.e. UCLA]. And Allan Wallace … came through town one day, and I said, 'Allan, I've got a great article!" He looked at it, started to laugh, and said, "I've seen it too; it's just phenomenal!' I'm just delighted to hear you say that it was exciting, because it was to me, too … that was a very influential article, I must say."

- Armen Alchian

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