Source: The Number-System of Algebra, (1890), p. 86; Reported in Moritz (1914, 282)
“Just as negative and fractional rational numbers are formed by a new creation, and as the laws of operating with these numbers must and can be reduced to the laws of operating with positive integers, so we must endeavor completely to define irrational numbers by means of the rational numbers alone. The question only remains how to do this.”
p, 125
Stetigkeit und irrationale Zahlen (1872)
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Richard Dedekind 13
German mathematician 1831–1916Related quotes
Source: Mathematics and the Physical World (1959), p. 51.
Source: Group Theory in the Bedroom (2008), Chapter 11, Identity Crisis, p. 206 (See also: George Cantor)
Source: Mathematical Thought from Ancient to Modern Times (1972), pp. 252-253.
However, negative numbers gained acceptance slowly.
Source: Mathematical Thought from Ancient to Modern Times (1972), p. 185.
100 Years of Mathematics: a Personal Viewpoint (1981)
Source: Mathematical Thought from Ancient to Modern Times (1972), p. 192.
Vol. I: Arithmetical Algebra Preface, p. iv
A Treatise on Algebra (1842)
The Triumph of Numbers: How Counting Shaped Modern Life (2005)