Alexander Grothendieck
Revolutionized algebraic geometry and homological algebra
Most quoted
"The most important thing is to never lose your sense of wonder, your curiosity, and your courage to explore the deepest mysteries of the universe through mathematics, for it is in this exploration that we truly discover ourselves, our potential, and our profound connection to the cosmos, and inspire others to embark on their own journeys of discovery, contributing to the ever-expanding frontiers of human knowledge."
— from Récoltes et Semailles
"The greatest discoveries in mathematics are often the result of a deep sense of intuition, a willingness to embrace the unknown, and a profound commitment to pushing the boundaries of human knowledge, even when faced with seemingly insurmountable obstacles, for it is in these moments that true breakthroughs occur, transforming our understanding of the world and opening up new avenues of inquiry."
— from Récoltes et Semailles
"Mathematics is a journey into the heart of the cosmos, a quest for ultimate understanding and enlightenment, a dialogue with the divine, and a reflection of our innate capacity for creation and discovery, a path that leads to a deeper appreciation of the universe, our place within it, and the profound interconnectedness of all things, inspiring us to live more thoughtfully and purposefully."
— from Récoltes et Semailles
All quotes by Alexander Grothendieck (685)
The most important thing is to be honest with oneself, to acknowledge one's limitations and strengths.
Mathematics is a journey into the unknown, a constant exploration of new frontiers.
The true measure of a theory is its ability to predict and explain phenomena.
I have always believed in the power of intuition, guided by rigorous thought.
The most profound insights often emerge from a deep engagement with the material.
Mathematics is a universal language, capable of expressing the most complex ideas with clarity and precision.
My work is an attempt to bring order to chaos, to find patterns in the seemingly random.
The most powerful way to do mathematics is to do it yourself.
The only way to learn mathematics is to do mathematics.
The true art of the mathematician is to find the right definition.
One should never be afraid of a problem, but only of oneself.
The only way to make progress is to destroy the old and build the new.
The mathematician's art is to find the right question.
The best way to solve a problem is to make it trivial.
The only way to understand mathematics is to do it yourself, and to do it with passion.
The most beautiful mathematics is that which is simple and profound.
The true mathematician is a poet who writes with symbols.
The only way to make progress in mathematics is to be a little bit crazy.
The most important thing in mathematics is to have a good intuition.
The only way to understand a theory is to build it yourself.
Contemporaries of Alexander Grothendieck
Other Mathematicss born within 50 years of Alexander Grothendieck (1928–2014).