Abstract

This book contains English translations of nearly all Frege's published writings other than Begriffsschrift, Grundlagen, and Grundgesetze. The works translated are selected from Kleine Schriften. About thirty percent of Collected Papers has never appeared in English before. This includes Frege's Göttingen dissertation, "On a Geometrical Representation of Imaginary Forms in the Plane", and his Jena Habilitationsschrift, "Methods of Calculation based on an Extension of the Concept of Quantity". Also translated for the first time are six brief reviews of mathematical works, a reply to Cantor's review of Grundlagen, two short mathematical lectures: "Lecture on a Way of Conceiving the Shape of a Triangle as a Complex Quantity" and "Lecture on the Geometry of Pairs of Points in the Plane", and a satire, "On Mr. H. Schubert's Numbers". Everything else in Collected Papers has appeared in English before in various journals and books. Frege's only published works not translated here are three explanations of Begriffsschrift and a short lecture, "Ueber den Briefwechsel Leibnizens und Huygens mit Papin", which apparently has not been translated into English. Thus, with the exception of the complete Grundgesetze, the publication of this book, together with The Foundations of Arithmetic, Conceptual Notation, Philosophical and Mathematical Correspondence, and Posthumous Writings, makes almost all Frege's known surviving work, both published and unpublished, available in English.