Euclid

Mathematician Greek -325 – -265

Systematized geometry in Elements, foundational to mathematics.

382 quotes

"A figure that cannot be drawn perfectly need not be doubted."
Courage
"Mathematics reveals that apparent chaos contains hidden order."
Nature
"Those who master geometry master the logic of creation."
Power
"To claim certainty without proof is to claim divinity without warrant."
"The parallel lines that never meet teach us about the limits of our knowledge."
Philosophy
"In proportional relations, we find the music of the spheres."
Beauty
"Every axiom is a faith we place in reason itself."
Faith
"The demonstration is mightier than the declaration."
Motivation
"To understand one perfect proof is to glimpse perfection itself."
Inspiration
"Geometry without application is meditation; application without geometry is ignorance."
Wisdom
"The infinite series approaching a limit teaches patience and hope."
Hope
"What is proven remains proven regardless of who proved it."
Truth
"The logical chain is only as strong as its weakest link."
Strength
"In the realm of mathematics, all are equal before the proof."
Justice
"To construct with certainty is to construct with freedom."
Freedom
"The axioms are not discovered; they are chosen; yet their consequences are discovered."
Philosophy
"Mathematics is the art of saying nothing about nothing and proving it matters."
Creativity
"The more perfect the system, the more it reveals about reality."
Knowledge
"In the angles of the world, we read the intentions of nature."
Nature
"To teach geometry is to teach how to think."
Education
"The proof that stands cannot be moved by doubt."
Courage
"All mathematical truths were always true; we merely unveil them."
Wisdom
"The student who questions the axioms questions the very foundation of understanding."
Philosophy
"In strict definition lies the power to think clearly."
Inspiration
"The infinite is not a number; it is an idea that numbers approach forever."
Imagination
"Where definitions end, philosophy begins."
Philosophy
"A theorem without elegance is a truth without grace."
Beauty
"The most profound discoveries are those that seem obvious afterward."
Wisdom
"To accept an axiom is to accept a boundary of understanding."
Knowledge
"Mathematics does not forgive carelessness; neither should life."