Richard Dedekind
A German mathematician who made important contributions to abstract algebra, particularly in algebraic number theory.
Most quoted
"If all points of the straight line fall into two classes such that every point of the first class lies to the left of every point of the second class, then there exists one and only one point which produces this division of all points into two classes, this severing of the straight line into two portions."
— from Stetigkeit und irrationale Zahlen, 1872
"The continuity of the domain of real numbers is the property that if all its elements are divided into two classes, such that every element of the first class is less than every element of the second class, then there exists one and only one number which produces this division."
— from Stetigkeit und irrationale Zahlen, 1872
"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."
— from Stetigkeit und irrationale Zahlen, 1872
All quotes by Richard Dedekind (399)
I find great satisfaction in solving difficult problems.
The concept of a cut is fundamental to understanding the real numbers.
I believe in the power of abstraction.
Mathematics is an art form.
I am always learning, always growing.
The pursuit of truth is my ultimate goal.
I am grateful for the opportunity to contribute to mathematics.
The integers are the foundation of all numbers.
I find solace in the order of mathematics.
My work is a reflection of my passion.
I encourage my students to think critically.
The development of mathematics is an ongoing process.
I am a firm believer in the power of logic.
I find inspiration in the natural world.
My greatest satisfaction comes from seeing my ideas understood and applied.
Mathematics is a universal language.
I am dedicated to the advancement of knowledge.
The irrational numbers are just as real as the rational numbers.
I believe in the importance of rigorous proofs.
I am content with my life's work.
Contemporaries of Richard Dedekind
Other Mathematicss born within 50 years of Richard Dedekind (1831–1916).