"Now it is time for us to realize that, in his Grundzüge, Kronecker did not merely intend to give his own treatment of the basic problems of ideal-theory which form the main subject of Dedekind's life-work. His aim was a higher own. He was, in fact, attempting to describe and to initiate a new branch of mathematics, which would contain both number-theory and algebraic geometry as special cases. This grandiose conception has been allowed to fade out of our sight, partly because of the intrinsic difficulties of carrying it out, partly owing to historical accidents and to the temporary successes of the partisans of purity and of Dedekind. It will be the main purpose of this lecture to try to rescue it from oblivion, to revive it, and to describe the few modern results which may be considered as belonging to the Kroneckerian program."
Quote Details
Added by wikiquote-import-bot
Unverified quote
0 likes
Original Language: English
Available Languages (1)
Sources
André Weil: "Number-theory and algebraic geometry." In Proc. Intern. Math. Congress, Cambridge, Mass. , vol. 2, pp. 90–100. 1950. (quote from p. 90)
https://en.wikiquote.org/wiki/Leopold_Kronecker
Revision History
No revisions have been submitted for this quote.
Categories
Leopold Kronecker
1823 – 1891
deutscher Mathematiker
4 quotes on TrueQuotesView all quotes by Leopold Kronecker →
Related Quotes
"Es handelt sich um meinen liebsten Jugendtraum, nämlich um den Nachweis, dass die Abel’schen Gleichungen mit Quadratw…"
"Die ganzen Zahlen hat der liebe Gott gemacht, alles andere ist Menschenwerk."
"Es handelt sich um meinen liebsten Jugendtraum, nämlich um den Nachweis, dass die Abel’schen Gleichungen mit Quadratw…"
"Dirichlet was not satisfied to study Gauss' "Disquisitiones arithmeticae" once or several times, but continued throug…"
"A peculiar beauty reigns in the realm of mathematics, a beauty which resembles not so much the beauty of art as the b…"
"It is true that mathematics, owing to the fact that its whole content is built up by means of purely logical deductio…"
"Mathematical knowledge, therefore, appears to us of value not only in so far as it serves as means to other ends, but…"
"Out of the interaction of form and content in mathematics grows an acquaintance with methods which enable the student…"
"I have come to the conclusion that the exertion, without which a knowledge of mathematics cannot be acquired, is not …"