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61. Dedekind, Richard 12, 1916, was a German mathematician known for his study of CONTINUITY and definitionof the real numbers in terms of dedekind cuts ; his analysis of the http://euler.ciens.ucv.ve/English/mathematics/dedekind.html | |
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62. Dedekind's Real Numbers set of rational numbers ; Maddy1992, p. 81 ``by identifying real numbers withcertain sets (called `dedekindcuts ), dedekind misinterpretation. http://www.phil.cmu.edu/dschlimm/texts/reals.html | |
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63. 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 |
64. Yet Another Outline/kludgefest (fwd) system 11.1.1 real number as cut -1, 1 containing infinite cuts I thinkthat what you are designating as a cut is _not_ a dedekind cut, but I ll http://www.asifproductions.com/aleph/Jul93/msg00034.html | |
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65. Lista Keywords Boundary value problem. PA KRUTITSKII The skew derivative problemfor the Helmholtz equation outside cuts in a plane. dedekind domain. http://www.dmmm.uniroma1.it/~rendiconti/rol/keywords.htm | |
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66. 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.org/fta/bolzano.shtml | |
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67. Historia Matematica Mailing List Archive: Re: [HM] Good History--Correct Results admit to not seeing much of a distinction between determining an irrational bya dedekind cut (or pair of cuts), and then talking about cuts as irrationals http://sunsite.utk.edu/math_archives/.http/hypermail/historia/oct98/0030.html | |
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68. Dedekind remarkable piece of work was his redefinition of irrational numbers in terms of Dedekindcuts which, as we mentioned above, first came to him as early as 1858. http://www-gap.dcs.st-and.ac.uk/~history/Mathematicians/Dedekind.html | |
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69. 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 | |
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70. Rhonda Roland Shearer / Marcel Duchamp's Impossible Bed... Also note that the English translation dedekind cut (Poincaré) is incorrect.Duchamp s original notes in French read Poincaré cut. . http://www.marcelduchamp.org/ImpossibleBed/PartI/note19.html | |
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71. Documentclass{article} \usepackage{latexsym} \newtheorem {\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 |
72. MAT 300 Mathematical Structures. Matt Kawski. Spring 2004. Constructing Numbers To get to the reals is a major step. B.3.1 takes the classical route of Dedekindcuts. B.3.10 is the critical thm that distinguishes relas from rationals. http://math.la.asu.edu/~kawski/classes/mat300/construct.html | |
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