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 in mathematics is to be able to see the connections between different ideas.
The mathematical world is a world of constant discovery.
The most important thing in mathematics is to be able to inspire others.
The mathematical community is too focused on specialization and not enough on generalization.
The true purpose of mathematics is to expand the human mind.
The most important thing in mathematics is to be able to challenge conventional wisdom.
The mathematical world is a world of endless wonder.
The most important thing in mathematics is to be able to see the underlying structure of things.
The mathematical community is too hierarchical and not egalitarian enough.
The true power of mathematics lies in its ability to reveal hidden truths.
The most important thing in mathematics is to be able to think critically.
The mathematical world is a world of profound beauty.
The most important thing in mathematics is to be able to create new knowledge.
The mathematical community is too insular and not open enough to new ideas.
The true spirit of mathematics is one of exploration and discovery.
The most important thing in mathematics is to be able to see the world in a new way.
The mathematical world is a world of endless fascination.
The introduction of the cipher 0 or the group concept was general nonsense too, and mathematics was more or less stagnating for thousands of years because nobody was around to take such childish steps...
It is by the constant striving to rectify their own errors that researchers, alone or in groups, develop new understanding.
The unknown thing to be known appeared to me as some stretch of earth or hard marl, resisting penetration... the sea advances insensibly in silence, nothing seems to happen, nothing moves, the water is so far off you hardly hear it... yet it finally surrounds the resistant substance.
Contemporaries of Alexander Grothendieck
Other Mathematicss born within 50 years of Alexander Grothendieck (1928–2014).