Grothendieck's Rising Sea

This is a small server dedicated to Mathematics, Physics, Logic, Theoretical Computer Science, Analytic Philosophy, Formal Sciences, Natural Sciences, and similar topics.

Alexander Grothendieck was a groundbreaking mathematician whose work transformed algebraic geometry and modern mathematics. Grothendieck remains celebrated not only for his groundbreaking theories but also for his integrity, unique worldview, and philosophical approach to mathematics.

His writings and collected works continue to inspire mathematicians and students worldwide.

I can illustrate the second approach with the same image of a nut to be opened.

The first analogy that came to my mind is of immersing the nut in some softening liquid, and why not simply water? From time to time you rub so the liquid penetrates better, and otherwise you let time pass. The shell becomes more flexible through weeks and months – when the time is ripe, hand pressure is enough, the shell opens like a perfectly ripened avocado!

A different image came to me a few weeks ago.

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.