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)
The infinite is a testament to the boundless capacity of the human mind.
The pursuit of knowledge is a noble endeavor.
Mathematics reveals the hidden order of the world.
The human mind is capable of creating its own reality.
The beauty of a mathematical proof lies in its elegance and rigor.
The infinite is a concept that challenges our intuition and expands our understanding.
The purpose of mathematics is to understand the world, not just to describe it.
Truth in mathematics is not discovered, but constructed.
The human intellect is a powerful tool for unraveling the mysteries of existence.
The aesthetic appeal of mathematics is a reflection of its inherent harmony.
The infinite is a concept that transcends our finite experience.
The pursuit of mathematical knowledge is a spiritual journey.
Mathematics provides a framework for understanding the fundamental nature of reality.
The human capacity for abstraction is what sets us apart.
The beauty of mathematics is universal and timeless.
The infinite is a concept that expands the horizons of our thought.
The meaning of life can be found in the pursuit of knowledge and understanding.
Mathematics is a testament to the power of human reason.
The elegance of a mathematical solution is a form of artistic expression.
The infinite is a concept that allows us to glimpse the vastness of existence.
Contemporaries of Richard Dedekind
Other Mathematicss born within 50 years of Richard Dedekind (1831–1916).