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A road map of Dedekind’s Theorem 66

Richard Dedekind’s theorem 66 states that there exists an infinite set. Its proof invokes such apparently nonmathematical notions as the “thought-world” and the self. This article discusses the content and context of Dedekind’s<...

Philosophy, History and Philosophy of science and technology

  • 2018
  • Jimp
  • Link
Result

Dedekind’s logicism

A detailed argument is provided for the thesis that Dedekind was a logicist about arithmetic. The rules of inference employed in Dedekind's construction of arithmetic are, by his lights, all purely logical in character, and the defi...

Philosophy, History and Philosophy of science and technology

  • 2017
  • Jimp
  • Link
Result

Tilting Modules over Small Dedekind Domains

Tilting Modules over Small Dedekind Domains...

BA - Obecná matematika

  • 2002
  • Jx
Result

Continuum, Name, and Paradox

The article deals with Cantor's argument for the non-denumerability of reals somewhat in the spirit of Lakatos' logic of mathematical discovery. At the outset Cantor's proof is compared with some other famous proofs such as Dedekind's recurs...

AA - Filosofie a náboženství

  • 2010
  • Jx
  • Link
Result

Theory of real numbers - from Eudoxus to Dedekind

In this article, the basic ideas of Eudoxus' proportionalities and relationship between quantities are explained and they are compared with the underlying ideas of Dedekind's cuts. Some quotations (excerpts) from Dedekind's and Lips...

BA - Obecná matematika

  • 2013
  • D
Result

The Axisymmetric Limit of the Post-Newtonian Dedekind Ellipsoids

We discuss a generalization to the post-Newtonian approximation for the Dedekind ellipsoids studied by Chandrasekhar and Elbert (1974, 1978). In particular, the axisymmetric case is investigated....

BE - Teoretická fyzika

  • 2010
  • D
Result

On weakly-cut stable maps

We study mappings between posets which can be naturally extended to a weakly complete lattice homomorphism (i.e. preserving non-empty meets and joins) between the coresponding Dedekind-MacNeille completions....

BA - Obecná matematika

  • 2010
  • Jx
Result

A GENERALIZED FAMILY OF POST-NEWTONIAN DEDEKIND ELLIPSOIDS

We derive a family of post-Newtonian (PN) Dedekind ellipsoids to first order. The sequence of the Newtonian Dedekind ellipsoids allows for an axially symmetric limit taken by Chandrasekhar & Elbert to find the PN Dedekind e...

BE - Teoretická fyzika

  • 2013
  • Jx
  • Link
Result

About Functions

Basic themes of document: mathematics; functions; Galilei; Leibniz; Newton; Euler; Dedekind; Lobačevskij...

Pure mathematics

  • 2017
  • Jost
Result

The lattice of quasivarietes of modules over a Dedekind ring

In 1995 D. V. Belkin described the lattice of quasivarieties of modules over principal ideal domains. The following paper provides a description of the lattice of subquasivarieties of the variety of modules over a given Dedekind ring. It als...

Pure mathematics

  • 2019
  • JSC
  • Link
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