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# Dedekind

[dey-di-kind; German dey-duh-kint] /ˈdeɪ dɪ kɪnd; German ˈdeɪ də kɪnt/
noun
1.
Julius Wilhelm Richard
[jool-yuh s wil-helm rich-erd;; German yoo-lee-oo s vil-helm rikh-ahrt] /ˈdʒul yəs ˈwɪl hɛlm ˈrɪtʃ ərd;; German ˈyu liˌʊs ˈvɪl hɛlm ˈrɪx ɑrt/ (Show IPA),
1831–1916, German mathematician.
Dictionary.com Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2017.
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Examples from the Web for Dedekind
Historical Examples
• These works of G. Cantor and Dedekind were of the greatest importance in the progress of the subject.

• Dedekind and Peano have worked out such ordinal theories of the number concept.

• An open series is continuous if it is compact and possesses the Dedekind property.

• Thus the definitions of compactness and of the Dedekind property can be at once transferred to a closed series.

• The last axiom of order is that there exists at least one straight line for which the point order possesses the Dedekind property.

• It follows from axioms 1-12 by projection that the Dedekind property is true for all lines.

• The Dedekind property holds for the order of the points on any straight line.

British Dictionary definitions for Dedekind

## Dedekind

/German ˈdedəˌkɪnt/
noun
1.
(Julius Wilhelm) Richard (ˈjuːlɪʊs ˈvɪlhɛlm ˈrixɑːt). 1831–1916, German mathematician, who devised a way (the Dedekind cut) of according irrational and rational numbers the same status
Collins English Dictionary - Complete & Unabridged 2012 Digital Edition
Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012
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