Georg Cantor

"The mathematician's greatest discovery is often the question itself."

"I believe in the power of ideas to transform civilization."

"The infinite is not the enemy of understanding; it is its ultimate goal."

"The fear of infinity is a form of myopia that destroys the possibility of seeing the actual infinite, even though it in its highest form has created and sustains us."

"Mathematics is the only infinite human activity. It is conceivable that humanity could eventually know all of physics or biology, but humanity cannot possibly know all of mathematics, even in principle."

"In mathematics the art of asking the right question is more valuable than solving the problem."

"A set is a Many that allows itself to be thought of as a One."

"The essence of mathematics lies in its freedom."

"One cannot be deeply responsive to the world without being saddened very often."

"I realize that in the eyes of many I am nothing more than a dreamer, but I cannot help believing that mathematics reveals eternal truths."

"The transfinite numbers are just as much the subject of our knowledge as the finite numbers; we can come to know them, to understand them, and to work with them."

"By the aid of the Infinite I have been able to contemplate the Finite in a new light."

"God had spoken to me, and I have obeyed in creating the theory of sets."

"The actual infinite was always an embarrassment to philosophers and mathematicians alike."

"A collection into a whole of definite, distinct objects of our perception or our thought."

"Mathematics alone is pure truth, everything else in the universe is an approximation."

"We have the right and even the duty to investigate new domains of mathematics without fear."

"The deeper we penetrate the theory of sets, the more we realize it is not a theory at all, but rather a new language."

"I have always passionately defended my theory of sets from those who would reject it out of ignorance."

"In the realm of the infinite, contradiction often births truth."

"My work is necessary for the future, even if my contemporaries do not yet understand it."

"The beauty of mathematics lies not in what we prove, but in what we dare to imagine."

"Set theory is the foundation upon which all modern mathematics must rest."

"To deny the infinite is to deny the very ground of mathematical possibility."

"I find myself compelled by an internal force to pursue these truths, regardless of the world's reception."

"The continuum hypothesis represents one of the deepest mysteries of the infinite."

"In solitude, I have discovered more about infinity than in all the academic halls combined."

"Each cardinal number is a world unto itself, complete and eternal."

"The finite mind cannot truly comprehend infinity, yet we may know it exists."

"God's omniscience encompasses even the infinite realm of transfinite numbers."