It looks like you're new here. If you want to get involved, click one of these buttons!

- All Categories 2.2K
- Applied Category Theory Course 344
- Applied Category Theory Seminar 1
- Exercises 149
- Discussion Groups 48
- How to Use MathJax 15
- Chat 475
- Azimuth Code Project 108
- News and Information 145
- Azimuth Blog 148
- Azimuth Forum 29
- Azimuth Project 190
- - Strategy 109
- - Conventions and Policies 21
- - Questions 43
- Azimuth Wiki 708
- - Latest Changes 700
- - - Action 14
- - - Biodiversity 8
- - - Books 2
- - - Carbon 9
- - - Computational methods 38
- - - Climate 53
- - - Earth science 23
- - - Ecology 43
- - - Energy 29
- - - Experiments 30
- - - Geoengineering 0
- - - Mathematical methods 69
- - - Meta 9
- - - Methodology 16
- - - Natural resources 7
- - - Oceans 4
- - - Organizations 34
- - - People 6
- - - Publishing 4
- - - Reports 3
- - - Software 20
- - - Statistical methods 2
- - - Sustainability 4
- - - Things to do 2
- - - Visualisation 1
- General 39

Options

In *Récoltes et Semailles*, Alexander Grothendieck wrote:

Since then I’ve had the chance in the world of mathematics that bid me welcome, to meet quite a number of people, both among my “elders” and among young people in my general age group who were more brilliant, much more ‘gifted’ than I was. I admired the facility with which they picked up, as if at play, new ideas, juggling them as if familiar with them from the cradle–while for myself I felt clumsy, even oafish, wandering painfully up an arduous track, like a dumb ox faced with an amorphous mountain of things I had to learn (so I was assured) things I felt incapable of understanding the essentials or following through to the end. Indeed, there was little about me that identified the kind of bright student who wins at prestigious competitions or assimilates almost by sleight of hand, the most forbidding subjects.

In fact, most of these comrades whom I gauged to be more brilliant than me have gone on to become distinguished mathematicians. Still from the perspective or thirty or thirty five years, I can state that their imprint upon the mathematics of our time has not been very profound. They’ve all done things, often beautiful things, in a context that was already set out before them, which they had no inclination to disturb. Without being aware of it, they’ve remained prisoners of those invisible and despotic circles which delimit the universe of a certain milieu in a given era. To have broken these bounds they would have to rediscover in themselves that capability which was their birthright, as it was mine: The capacity to be alone.

## Comments

Grothendieck was rather modest fellow it would seem---hard to believe since I consider him a true genius. What I found particularly striking is the influence of J.-P. Serre on his development. Grothendieck was an eagle soaring far above the frogs.

`Grothendieck was rather modest fellow it would seem---hard to believe since I consider him a true genius. What I found particularly striking is the influence of J.-P. Serre on his development. Grothendieck was an eagle soaring far above the frogs.`

@John..thanks.. very interesting and, somehow, it makes me remember of this one attributed to A.Einstein:

"I think 99 times and find nothing. I stop thinking, swim in silence, and the truth come to me"

Best

`@John..thanks.. very interesting and, somehow, it makes me remember of this one attributed to A.Einstein: "I think 99 times and find nothing. I stop thinking, swim in silence, and the truth come to me" Best`

Walter wrote:

I don't think so; just honest. Later in the same book he writes:

And all this is true, just like the "modest" remarks I quoted earlier!

`Walter wrote: > Grothendieck was rather modest fellow it would seem. I don't think so; just honest. Later in the same book he writes: > In terms of its quantity, my work during these productive years found its concrete expression in more than 12,000 published pages in the form of articles, monographs or seminars, and by hundreds, if not thousands of original concepts which have become part of the common patrimony of mathematics, even to the very names which I gave them when they were propounded. > In the history of mathematics I believe myself to be the person who has introduced the greatest number of new ideas into our science, and at the same time, the one who has therefore been led to invent the greatest number of terms to express these ideas accurately, and in as suggestive a manner as possible. And all this is true, just like the "modest" remarks I quoted earlier!`

A paper of Colin McLarty starts with other thought of Grothendiek (also in

recoltesi think) that helps to start explaining what's to love in the theme this course derives from:`A paper of Colin McLarty starts with other thought of Grothendiek (also in _recoltes_ i think) that helps to start explaining what's to love in the theme this course derives from: > At a time when mathematical fashion despises generality (seen as gratuitous “generalities”, i.e. vacuities) I affirm the principle force in all my work has been the quest for the “general.” In truth I prefer to accent “unity” rather than “generality.” But for me these are two aspects of one quest. Unity represents the profound aspect, and generality the superficial aspect.`

Nice quote, Jesus! Grothendieck's thoughts are fun to read. They set a good example to

tryto follow. Not so easy in practice!`Nice quote, Jesus! Grothendieck's thoughts are fun to read. They set a good example to _try_ to follow. Not so easy in practice!`

This reminds me of several things Jaynes writes about in

Probability Theorysuch as:`This reminds me of several things Jaynes writes about in _[Probability Theory](https://bayes.wustl.edu/)_ such as: > ... to make progress in a new area it is necessary to develop a healthy disrespect for tradition and authority, which have retarded progress throughout the 20th century.`