Frases de Richard Dedekind

Richard Dedekind foto
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Richard Dedekind

Data de nascimento: 6. Outubro 1831
Data de falecimento: 12. Fevereiro 1916


Julius Wilhelm Richard Dedekind foi um matemático alemão.

Citações Richard Dedekind


„The way in which the irrational numbers are usually introduced is based directly upon the conception of extensive magnitudes—which itself is nowhere carefully defined—and explains number as the result of measuring such a magnitude by another of the same kind. Instead of this I demand that arithmetic shall be developed out of itself.“

— Richard Dedekind
pp.9-10 Footnote: The apparent advantage of the generality of this definition of number disappears as soon as we consider complex numbers. According to my view, on the other hand, the notion of the ratio between two numbers of the same kind can be clearly developed only after the introduction of irrational numbers.

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