Az ELTE BTK Logika tanszek szeminariuman
apr. 15., csutortok du. 4-kor
Paolo Mancosu
(UC Berkeley -- Wissenschaftskolleg Berlin) tart eloadast
HILBERT'S FINITISM:
confrontations with philosophy, 1922-1930.
cimmel. Helyszin: Pesti B. u. 1., A ep. felem. 23.
Az eloadas kivonata:
In the last ten years there has been renewed interest in the historical
development of Hilbert's program. By making use of unpublished
material preserved at the library of the Mathematisches Institut in
Gottingen, Hallett, Peckhaus, and Sieg, among others, have been able to
unearth a significant amount of new information that dramatically
increases our understanding of the various phases of Hilbert's program.
However, there is an important aspect of Hilbert's program that has
been largely ignored in the literature, namely, the philosophical
underpinnings and the philosophical reception of Hilbert's program in
the 1920s. During this period Hilbert and Bernays' conception of
finitism underwent significant shifts. Moreover, several philosophers
working in a variety of traditions, ranging from neo-Kantianism to
phenomenology, dealt quite critically with Hilbert's new foundations of
mathematics. One can name, among others, O. Becker, E. Cassirer, D.
Mahnke, A. Muller, and L. Nelson.
Drawing on published and unpublished sources, I will give an overview
of the exchange between Hilbert's school and the philosophers mentioned
above, emphasizing in particular issues related to the nature of
Hilbert's finitism.
Bibliography
P.Mancosu (ed.): From Brouwer to Hilbert. The debate on the
foundations of mathematics in the 1920s. Oxford University Press, New
York, 1998.
==============================================================================
Andras Mate CSc, assoc. prof. -- Dept. of Symbolic Logic
Lorand Eotvos University Budapest, Faculty of Arts and Humanities
H-1364 Budapest, POB 107
Phone: (36 1) 266 9100/5328 -- TAD/Fax: (36 1) 266 41 95
e-mail:mate@isis.elte.hu
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