Alexander Grothendieck

Mathematics French 1928 – 2014 685 quotes

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 only thing that is eternal in mathematics is change.

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The secret of my productivity is that I never hurry.

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A great mathematician is one who knows how to ask the right questions.

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The source of all great mathematics is the special case, the concrete example. It is frequent in mathematics that every instance of a concept of seemingly great generality is in essence equivalent to a small, concrete special case.

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I do not believe in the absolute truth of mathematics, but in its internal consistency and beauty.

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