Empiricism, Logic and Mathematics: Philosophical PapersThe role Hans Hahn played in the Vienna Circle has not always been sufficiently appreciated. It was important in several ways. In the ftrst place, Hahn belonged to the trio of the original planners of the Circle. As students at the University of Vienna and throughout the fIrst decade of this century, he and his friends, Philipp Frank and Otto Neurath, met more or less regularly to discuss philosophical questions. When Hahn accepted his fIrSt professorial position, at the University of Czernowitz in the north east of the Austrian empire, and the paths of the three friends parted, they decided to continue such informal discussions at some future time - perhaps in a somewhat larger group and with the cooperation of a philosopher from the university. Various events delayed the execution of the project. Drafted into the Austrian army during the first world war" Hahn was wounded on the Italian front. Toward the end of the war he accepted an offer from the University of Bonn extended in recognition of his remarkable 1 mathematical achievements. He remained in Bonn until the spring of 1921 when he returm:d to Vienna and a chair of mathe matics at his alma mater. There, in 1922, the Mach-Boltzmann professorship for the philosophy of the inductive sciences became vacant by the death of Adolf Stohr; and Hahn saw a chance to realize his and his friends' old plan. |
Contents
Discussion about the Foundations of Mathematics | 31 |
Empiricism Mathematics and Logic 1929 | 39 |
The Crisis in Intuition 1933 | 73 |
Does the Infinite exist? 1934 | 103 |
Bibliography of the Works of H Hahn | 132 |
Other editions - View all
Common terms and phrases
according analysis appear arithmetic assume attempt axiom becomes believe called cardinal number Chapter Circle completely concept consider consistent construction continuous contradiction correspondence countries course curve dealing definition denumerably difficult discussed elements entirely entities equal example existence experience expressed extension fact Figure finite follows foundations functions fundamental further geometry give given Hahn hand hence idea imagine impossible infinite sets instant intuition kind knowledge language lecture limit logic look mathematicians mathematics matter means methods motion moving namely natural numbers never objects observation occur once original perhaps philosophy physical position possible precise present principle problem proof properties proposition prove pure question real numbers reality regard relation remain requirement seems sense sensible world shown signs simple slope space statement supposed symbolism theory thing thought tion transfinite true turn Uber University whole