Frege: Works, Misc

The short fragment of Frege's Nachlass which bears the above title, given to it by the editors, is in fact a sequence of connected comments by him on the Introduction to Lotze's Logik, or, more exactly, a response by him to that Introduction. It is thus very probably the earliest piece of writing from Frege's pen on the philosophy of logic surviving to us, and, when it is read in this light, the motivation for its author's puzzling selection of remarks (...) and the turns of phrase he employs become intelligible. We see here an early attempt by Frege to attain clarity about a topic that was to preoccupy him throughout his entire philosophical career, the nature of thoughts. (shrink)

Translation of Frege's 'Über die Begriffsschrift des Herrn Peano und meine eigene' (1896). Translated by V.H. Dudman.

Translation of Frege's 'Über den Zweck der Begriffsschrift' (1882).

[Translation of Frege's 'Gedankengefüge' (1923)].

[Translation of Frege's 'Über das Trägheitsgesetz].

Translation of Frege's 'Über Begriff und Gegenstand' (1892). Translation by Peter Geach, revised by Max Black.

This paper is a translation of ' Funktion und Begriff' by Gottlob Frege.

Although the connections between Frege’s and Russell’s investigations are commonly known, there are some topics in their letters which do not seem to have been analysed until now: 1. Paradoxes formulated by Russell on the basis of Frege’s rules: a) „»ξ can never take the place of a proper name« is a false proposition when ξ is a proposition”; b) “A function never takes the place of a subject”. A solution of this problem was based on the reference/sense theory and (...) on the distinction between the first- and second-level names. 2. The inconsistency in Frege’s system may be avoided by the introduction of: a) a new kind of objects called quasi-objects ; b) logical types ; c) mathematics without classes ; d) some restrictions on the domain of function. 3. Since the inconsistency is connected with a class, what is class? In one of the letters, Frege compared a class to a chair composed of atoms. This approach seems to be similar to the collective understanding of a set. 4. Russell doubted that the difference between sense and reference of expressions was essential. Hence, Frege found some additional reasons to distinguish between them: semiotic, epistemological, from identity, and from mathematical practice. This discussion can be seen as a next step in developing the theory of descriptions by Bertrand Russell. (shrink)

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. (shrink)

This paper is a Czech translation and critical interpretation of 'Dialog s Pünjerem' by G. Frege.

In a letter to Frege of 29 December 1899, Hilbert advances his formalist doctrine, according to which consistency of an arbitrary set of mathematical sentences is a sufficient condition for its truth and for the existence of the concepts described by it. This paper discusses Frege's analysis, as carried out in the context of the Frege-Hilbert correspondence, of the formalist approach in particular and the axiomatic method in general. We close with a speculation about Frege's influence on Hilbert's later work (...) in foundations, which we consider to have been greater than previously assumed. This conjecture is based on a hitherto neglected revision of Hilbert's talk "Über den Zahlbegriff". (shrink)

Gottlob Frege , Mathematiker und Philosoph, ist der Begründer der modernen formalen Logik. Autoren wie Bertrand Russell, Rudolf Carnap und Ludwig Wittgenstein sind von ihm ausgegangen. Die hier vorgelegten Schriften aus dem Nachlaß wurden unter dem Gesichtspunkt ausgewählt, daß das Interesse an Frege vor allem seinen Arbeiten zur logisch-semantischen Sprachanalyse gilt. Da diese Arbeiten in engem Verbund mit Themen der Erkenntnis- und Wissenschaftstheorie entstanden sind, rücken auch diese Bereiche der analytischen Philosophie in den Blick.