Was Sind Und Was Sollen Die Zahlen?: Dedekind By November of 1858 dedekind had resolved the issue by showing how to obtain the andarithmetical operations) from the rational numbers by means of cuts in the http://www.thoralf.uwaterloo.ca/htdocs/scav/dedek/dedek.html
Intuition And Rigor rigorous introduction into the theory of real numbers. The claimed theoremhas been indeed proven on the foundation of dedekind's cuts. http://www.cut-the-knot.com/fta/bolzano.shtml
Cauchy Sequence -- From MathWorld converge in the reals. Real numbers can be defined using either dedekindcuts or Cauchy sequences. dedekind Cut. Author Eric W. Weisstein http://mathworld.wolfram.com/CauchySequence.html
Maths@work - Famous Mathematicians Rigorously defined irrational numbers as classes of fractions using 'Dedekindcuts.'; Game a purely arithmetic definition of the essence of continuity. http://www.mathsatwork.com/famous_mathematicians/dedekind.html
Combinatorial Games (II) -Different Moves For Left And Right There are many approaches to this, including Richard dedekind's idea of dedekindCuts which, starting with the rational numbers, constructs the real numbers. http://www.ams.org/new-in-math/cover/partizan5.html
The D List contributions to mathematics. His treatment of irrational numbers, Dedekindcuts, put analysis on a firm logical foundation. His work on http://www.siue.edu/~dcollin/Dlist.html
Www.bath.ac.uk/~masgcs/book1/amplifications/ch8q8_2.txt {\it Well, almost. This is where we should start worrying about Dedekindcuts and Cauchy sequences. In fact we have disguised earlier http://www.bath.ac.uk/~masgcs/book1/amplifications/ch8q8_2.txt
Seminaire De Logique, Lambda-calcul Et Programmation Translate this page résumé. 18/12/98 Klaus Grue (Université de Copenhague) Dedekindcuts as a means for constructing kappa-Scott domains. abstract. http://www.logique.jussieu.fr/semlam/98_99/
The Arche Web Site Arché Research Project at the University of St Andrews. Description of the project, sponsors, researche Category Society Philosophy Philosophy of Mathematics The simplest proposalto which early attention will be given-is to mimic Dedekindcuts by developing an abstractionist theory of the rationals and defining http://www.st-andrews.ac.uk/academic/philosophy/arche/math.shtml