Hilbert, David

Mathematician-Philosopher German 1862 – 1943

Developed formalism and program in mathematical foundations.

372 quotes

"Order is Heaven's first law, and mathematics proves it."
"To solve a great problem, one must first understand what the problem is."
Wisdom
"Geometry will draw the soul toward truth and create the spirit of philosophy."
Philosophy
"The principle of relativity has nothing to do with relativity of truth."
Truth
"One should never lose sight of the physical world while exploring abstraction."
"A beautiful theorem is one that reveals hidden connections."
Beauty
"Mathematics demands rigor above all things."
Truth
"The language of mathematics is universal."
Peace
"Problem solving is the heart of intellectual courage."
Courage
"What we cannot understand, we cannot control."
Knowledge
"The mathematician's patterns, like the painter's or the poet's, must be beautiful."
Art
"Invention in mathematics is the discovery of the already existing."
Creativity
"Every great advance has come from making the impossible seem inevitable."
Inspiration
"The foundation of mathematics is logic, the foundation of life is friendship."
Friendship
"To understand music, one must understand mathematics."
Music
"Nature does not hurry, yet everything is accomplished through patience."
Patience
"The contemplation of mathematical truth elevates the human soul."
Faith
"A problem well-stated is half-solved."
Wisdom
"Mathematics is the language in which God has written the world."
Faith
"Perseverance is the bridge between difficulty and success."
Perseverance
"The beauty of mathematics lies in its necessity."
Beauty
"To be a mathematician is to be a servant of truth."
Truth
"In mathematics, there are no authorities, only arguments."
Freedom
"The infinite diversity of mathematics reflects the infinite diversity of reality."
Nature
"One cannot achieve mastery without first achieving humility."
"Dreams without rigor become delusions; rigor without dreams becomes sterility."
Dreams
"The history of mathematics is the history of human thought itself."
History
"Where there is mathematics, there is order and beauty."
Beauty
"To teach is to learn twice."
Education
"The power of imagination exceeds the power of reason."
Imagination