This Bibliography was compiled and cross-checked with the help of Bynum  , Beaney  , Hermes  , and Angelelli . Sources were checked, errors were eliminated, and page numbers were added whenever possible. Please notify the author if you find any remaining errors. These may be found in Gabriel et al. Neuenhahn, ; reprinted in Angelelli  pp.
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This Bibliography was compiled and cross-checked with the help of Bynum  , Beaney  , Hermes  , and Angelelli . Sources were checked, errors were eliminated, and page numbers were added whenever possible. Please notify the author if you find any remaining errors.
These may be found in Gabriel et al. Neuenhahn, ; reprinted in Angelelli  pp. Gall and E. Gabriel suggests the date of Koebner, ; reprinted Breslau: M. Marcus, ; reprinted Darmstadt: Wissenschaftliche Buchgesellschaft and Hildesheim: Olms, ; reprinted in Thiel . Schubert , Jena: Herman Pohle, ; reprinted in Angelelli  pp. There is a reply in defense of Hilbert by A. Korselt in Jahresbericht der Deutschen Mathematiker-Vereinigung , 12 , pp.
It has been translated by E. Kluge in Kluge  pp. Februar , S. Meyer ed. Carnap attended these lectures and took notes. Dathe and W. Kaal in McGuinness  pp. Kaal in McGuinness  p. Bauer-Mengelberg in van Heijenoort  pp. Bynum in Bynum  pp. Geach in Geach and Black  pp. Beaney in Beaney  pp. Bartlett in Bartlett  Translation by T. Dudman in Dudman  Translation by T. Marcus, ; reprinted Darmstadt: Wissenschaftliche Buchgesellschaft and Hildesheim: Olms, ; reprinted in Thiel  The Foundations of Arithmetic: A logico-mathematical enquiry into the concept of number Complete translation by J.
Austin in Austin . Jacquette in Jacquette . Mahoney in Benacerraf and Putnam  pp. Kluge in McGuinness  pp. Black in Black  , Geach and Black  pp. Feigl in Feigl and Sellars  pp. Geach in Geach  , Geach and Black  pp. Ebert and M. Rossberg with C. Wright , Oxford: Oxford University Press, Dudman in Dudman  , and in McGuinness  pp. Kaal in Gabriel et al. Dudman in Dudman  and in McGuinness  pp.
Long and R. White in Hermes et al. Kraal in McGuinness  pp. Black in Black  ; reprinted in Geach and Black  pp. Geach and M. Furth in Furth  pp. Szabo in Szabo  and in Klemke  pp. In , Frege sent Jourdain comments on his manuscript.
English translation in Reck and Awodey pp. Geach and R. Stoothoff in Geach  pp. Quinton and M. Quinton in Quinton and Quinton  , Strawson  pp. Stoothoof in Stoothoff , in Klemke  pp. A logic-mathematical enquiry into the concept of number , Oxford: Blackwell, second revised edition second edition, ; first edition, Bartlett , J. Feigl , H. Mendelsohn , Inquiry , — Gabriel , G. McGuinness and trans. Kaal, Chicago: U. Geach , P. Stoothoff, Oxford: Blackwell Geach , P. White trans.
Black, V. Dudman, P. Geach, H. Kaal, E. Kluge, B. McGuinness, and R. Runes , D. Nach der Mitschrift von Rudolf Carnap. Gabriel , G. McGuinness and R. Haller eds. This edition completes the Olms reprint editions of the works Frege published separately.
Reprint of the edition of Frege  and [a] , with Corrigenda. Open access to the SEP is made possible by a world-wide funding initiative. Mirror Sites View this site from another server:.
Jena: Hermann Pohle, First edition, very rare, of this important essay, in which Frege carried out a revision of his famous Begriffsschrift , which was necessary in order to carry out his programme of reducing arithmetic to formal logic. Function und Begriff also contains the earliest traceable germ of the ideas that lead to the modern formalism of functional grammars and to the Church-Kleene lambda calculus of the s that was to play such an important role in the development of the theory of programming languages see, for example, Klement. Instead, and possibly at the instigation of Carl Stumpf, he offered a logicist reduction in informal language. Frege was conscious that [ Die Grundlagen ] had only made it plausible that arithmetic was a branch of pure logic and that a complete demonstration would demand carrying out the reduction in question within the formal Begriffsschrift , thereby ensuring the Luckenlosigkeit [rigour] of his derivations.
Gottlob Frege (1848—1925)
Friedrich Ludwig Gottlob Frege b. Frege then demonstrated that one could use his system to resolve theoretical mathematical statements in terms of simpler logical and mathematical notions. One of the axioms that Frege later added to his system, in the attempt to derive significant parts of mathematics from logic, proved to be inconsistent. Nevertheless, his definitions e.