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 mathematical community is a very conservative one. It is very difficult to introduce new ideas.
The greatest obstacle to discovery is not ignorance, but the illusion of knowledge.
I have never been interested in solving problems. I have always been interested in understanding things.
The mathematical enterprise is a collective one, and it is only through collaboration that we can make progress.
The true beauty of mathematics lies in its universality.
The most profound ideas in mathematics are often the simplest ones.
Mathematics is a language, and like any language, it can be used to express both truth and falsehood.
The role of the mathematician is not to prove theorems, but to create concepts.
The history of mathematics is a history of ideas, not of individuals.
The most important thing for a mathematician is to be able to ask the right questions.
The purpose of mathematics is not to solve problems, but to understand the world.
The mathematical world is a world of ideas, and it is only through ideas that we can make progress.
The most important thing in mathematics is to be able to see the big picture.
The mathematical community is too focused on results and not enough on understanding.
The true value of mathematics is not in its applications, but in its beauty.
The most important thing in mathematics is to be able to think for oneself.
The mathematical world is a world of infinite possibilities.
The most important thing in mathematics is to be able to communicate one's ideas clearly.
The mathematical community is too competitive and not collaborative enough.
The true measure of a mathematician is not the number of theorems they prove, but the depth of their understanding.
Contemporaries of Alexander Grothendieck
Other Mathematicss born within 50 years of Alexander Grothendieck (1928–2014).