Dedekind admitted that he had no evidence.
However, several of his students became influential mathematicians, among them Richard Dedekind and Bernhard Riemann.
Weierstrass's method has been
completely set forth by SalvatorePincherle in 1880,[27] and Dedekind's has received additional prominence through the author's later work(1888)
and the endorsement by PaulTannery(1894).
Dedekind published his definition of the real numbers by"Dedekind
cuts" also in 1872 and in this paper Dedekind refers to Cantor's 1872 paper which Cantor had sent him.
Weierstrass's method has been completely
set forth by Salvatore Pincherle in 1880, and Dedekind's has received additional prominence through the author's later work(1888)
and the endorsement by Paul Tannery 1894.
Weierstrass, Cantor, and Heine base their theories on infinite series, while Dedekind founds his on the idea of a cut(Schnitt) in
the system of real numbers, separating all rational numbers into two groups having certain characteristic properties.
Weierstrass, Cantor, and Heine based their theories on infinite series, while Dedekind founded his on the idea of a cut(Schnitt) in
the system of real numbers, separating all rational numbers into two groups having certain characteristic properties.