Felix Kaufmann on Tarski’s Introduction to Mathematical Logic (1938)

Felix Kaufmann’s newspaper book review welcomes the German translation of Alfred Tarski’s Einführung in die mathematische Logik und in die Methodologie der Mathematik. Its central claim is pedagogical: a leading mathematical logician has made a specialist field accessible without requiring advanced mathematical preparation. Kaufmann presents the translation from Polish as an opportunity to widen the readership of logical knowledge:

Denn es ist durchaus geeignet, einem größeren Kreis von Gebildeten wichtiges Gedankengut zu vermitteln, dessen Kenntnis bisher fast ausschließlich Fachleuten vorbehalten war.

English translation: For it is thoroughly suited to conveying important ideas to a wider circle of educated people, knowledge of which had hitherto been reserved almost exclusively for specialists.

The review moves from this welcome to the means of accessibility. Tarski recognizes that nonmathematicians often recoil from logical symbolism, whether through reverential apprehension or aversion. He therefore almost entirely dispenses with symbols when presenting the discipline’s fundamental ideas. Kaufmann also praises the simple exposition, the restriction of prerequisite mathematics to secondary-school material, and exercises that enable readers to check their understanding.

Accessibility becomes a route to further study: a reader who thoroughly works through Tarski’s book can proceed to a more difficult textbook, such as Rudolf Carnap’s Abriß der Logistik. Kaufmann closes by specifying the audience for whom this preparation matters particularly:

Besonders zu empfehlen ist Tarskis Schrift jenen Forschern und Studenten, die sich mit methodologischen Fragen ihres Spezialgebietes befassen und im Zusammenhang hiemit Klarheit über den Charakter der logischen und mathematischen Methoden gewinnen wollen.

English translation: Tarski’s work is especially recommended to those researchers and students who concern themselves with methodological questions in their own specialized field and, in this connection, wish to gain clarity about the character of logical and mathematical methods.

The recommendation connects introductory logic with reflection on research methods across disciplines. Kaufmann’s emphasis falls on teaching and intellectual access, rather than on particular logical results: Tarski equips nonspecialists both for advanced reading and for clearer understanding of the methods relevant to their own work.