Between Russell and Hilbert: Behmann on the Foundations of Mathematics Export

@article{citeulike:130239, abstract = {After giving a brief overview of the renewal of interest in logic and the foundations of mathematics in Gottingen in the period 1914-1921, I give a detailed presentation of the approach to the foundations of mathematics found in Behmann's doctoral dissertation of 1918, Die Antinomie der transfiniten Zahl und ihre Auflosung durch die Theorie von Russell und Whitehead. The dissertation was written under the guidance of David Hilbert and was primarily intended to give a clear exposition of the solution to the antinomies as found in Principia Mathematica. In the process of explaining the theory of Principia, Behmann also presented an original approach to the foundations of mathematics which saw in sense perception of concrete individuals the Archimedean point for a secure foundation of mathematical knowledge. The last part of the paper points out an important numbers of connections between Behmann's work and Hilbert's foundational thought.}, author = {Mancosu, Paolo}, citeulike-article-id = {130239}, citeulike-linkout-0 = {http://www.jstor.org/stable/421183}, journal = {The Bulletin of Symbolic Logic}, keywords = {behmann, foundations, hilbert, history\_of\_logic, philosophy\_of\_mathematics, principia\_mathematica, russell}, number = {3}, pages = {303--330}, posted-at = {2005-03-16 18:07:20}, priority = {0}, title = {Between Russell and Hilbert: Behmann on the Foundations of Mathematics}, url = {http://www.jstor.org/stable/421183}, volume = {5}, year = {1999} }

TY - JOUR ID - citeulike:130239 L3 - citeulike-article-id:130239 N2 - After giving a brief overview of the renewal of interest in logic and the foundations of mathematics in Gottingen in the period 1914-1921, I give a detailed presentation of the approach to the foundations of mathematics found in Behmann's doctoral dissertation of 1918, Die Antinomie der transfiniten Zahl und ihre Auflosung durch die Theorie von Russell und Whitehead. The dissertation was written under the guidance of David Hilbert and was primarily intended to give a clear exposition of the solution to the antinomies as found in Principia Mathematica. In the process of explaining the theory of Principia, Behmann also presented an original approach to the foundations of mathematics which saw in sense perception of concrete individuals the Archimedean point for a secure foundation of mathematical knowledge. The last part of the paper points out an important numbers of connections between Behmann's work and Hilbert's foundational thought. IS - 3 JF - The Bulletin of Symbolic Logic EP - 330 TI - Between Russell and Hilbert: Behmann on the Foundations of Mathematics VL - 5 SP - 303 KW - behmann KW - foundations KW - hilbert KW - history_of_logic KW - philosophy_of_mathematics KW - principia_mathematica KW - russell AU - Mancosu, Paolo PY - 1999/// UR - http://www.jstor.org/stable/421183 ER -