114 points by vinnyvichy 43 days ago | 16 comments
superb-owl 43 days ago
I've been working on translating and summarizing some of Grothendieck's esoteric writing from his later years. It's...pretty bananas. But some fascinating stuff--clearly brilliant and a little crazy.

https://github.com/superb-owl/grothendieck

hiAndrewQuinn 42 days ago
I've been looking for ages for someone trying to translate his _Reaping and Sowing_ era. Thank you for your service!
vcdimension 43 days ago
When I click on any of the pdf's it says: Error rendering embedded code, Invalid PDF
vinnyvichy 42 days ago
You might want to update your browser or reader.. it works for me.
boriselec 43 days ago
Reaping and Sowing is an interesting book. About math rivalry, his mathematical journey, and, yes, "Dreamer" which sends us dreams.
graemep 43 days ago
This is something I have noticed and that frustrates me a great deal. Science is treated as received wisdom handed down by the authorities.

I have made great efforts to avoid that in my children's education. A hint for people in the UK - look at science GCSEs other than the usual physics, chemistry biology trio. My daughter did astronomy and it was far better as it had a lot of explanation of historical cosmology and what the evidence has been for various theories.

strikelaserclaw 43 days ago
this makes sense as schools mostly exist just to create an educated workforce to can run the machine. Even science is big business these days, just keep cranking out papers of dubious value and reproducibility
woodpanel 42 days ago
> Science as handed down by authorities

A certain pandemic recently showcased this to the world as it was told to „follow the science“ and never mind who was leading it.

graemep 42 days ago
I think what the pandemic showed was that you can "follow the science" and do whatever you want, because when scientists disagree you pick the one who says what you want. The same for lots of things - UK drug policy (which involved things like firing a scientific advisor for giving the wrong advice), what to do about global warming, etc.

The whole idea of science as handed down by authority also helps people like creationists and conspiracy theorists because if its just a matter of authority then you can choose a different authority.

42 days ago
wffurr 43 days ago
This would have been a lot better with a “steelman” version of the “scientism credo” rather than the exaggerated form presented. I found it pretty alienating to try to read this, even though I probably agree with the thesis on the whole.
jkingsbery 43 days ago
Yes, the case would be stronger with specific examples. However, I did not find it alienating, as examples of these 6 myths readily come to mind. We see people appeal to expertise all the time, rather than using their expertise to explain. There are lots of examples of people trying to "solve" economics problems rather than, as Thomas Sowell puts it, realizing that there are no solutions but only trade-offs.
BalinKing 43 days ago
As I understood the essay, Grothendieck's argument is precisely that the exaggerated form is what many believe. So I'm not sure a steelman would make sense here, given that his point is to argue against a specific set of widespread beliefs.
42 days ago
empath75 43 days ago
The steel-man version of "scientism" wouldn't be scientism, it would just be a straight-forward explanation of the scientific method and empiricism that acknowledges its limits.
nbulka 42 days ago
A steel man version of scientism by definition has to be scientism, and I imagine that looks like strict determinisn/reductionism. I imagine it would go along the lines of "we acknowledge that our theories invoke notions of probability and since don't have a better solution we should assert them as universal truths."
nbulka 43 days ago
That would be interesting! I'd love for someone to tackle that.
bazoom42 43 days ago
If you want to argue something is a religion, you need to define “religion”. Often it is defined vaguely enough that anything can be called a religion. But if the word can be applied to everything it is meningless.
skissane 42 days ago
> If you want to argue something is a religion, you need to define “religion”.

Wittgenstein famously argued that the word "game" cannot be given an intensional definition – you cannot produce a list of features that all games have and which only games have. For, he argued, "game" is not a category defined in terms of singular essence, rather it is a collection of things which all have a lot in common but there is no one thing which they all have in common. Like members of a family, which all resemble each other, but all in different ways – hence he called this family resemblance (Familienähnlichkeit in German).

Well, I would say the exact same thing is true of "religion" – just like "game", the word can't be defined, because there is no one thing all "religions" have in common.

But, our inability to clearly define "game" doesn't make the concept useless, and isn't an inherent obstacle to using the concept. Well, the same is true of "religion".

If you are going to call something a "religion" which isn't widely considered to be one, you need to identify which particular features you think it shares with those phenomena which are widely considered to be "religions". And I think Grothendieck has done that here.

jessriedel 43 days ago
This is not an essay about whether science "is" a religion, or how "religiony" it is.

He's just arguing that the way science is treated by the general public has many specific negative features, and that many of these are held in common with religion. And he's quite clear about what those aspects here.

bazoom42 42 days ago
He literally calls science a religion and scientist high priests. He doesn’t just draw parallels and analogies.
jessriedel 40 days ago
It's poetic language, and arguably unnecessarily inflammatory, but it's not the main thesis of the essay. Specifically: If you identified a key distinction between religion and scientism that we all agreed was "required" by any good definition of religion but wasn't found in scientism (say, an afterlife, or a story for why bad things happen to good people), that wouldn't much affect the validity of the essay.
bazoom42 39 days ago
If you remove the analogy to religion I don’t see how any substance remains. For example the essay present subject experts as problematic through the analogy to high priests. But if you remove this analogy it is just common sense that someone who have studied a subject knows more than someone who hasn’t.

I mean a carpenter knows more about carpentry than a random person - how is that controversial or problematic? But lets call carpenters high priests thereby implying carpentry expertise is somehow suspect. If you try to lecture a seasoned carpenter about carpentry they would probably also call you an idiot in more or less polite words. I guess that just proves how carpenters are like high priests jaleously guarding their status?

The whole essay is just riddled with falacies and strawmen. For example the fact that someone have tried to study war scientifically apparently means this makes war acceptable. How does that follow? Never mind this completely ignores the history of war and justifications of war which is much older than science.

A criticims of scientism and its derived pseudo-religions like nlp, scientology, transhumanism, the singularity, simulation etc would be very welcome, but the analysis need to be coherent, otherwise it is no better.

jessriedel 37 days ago
I strongly disagree with your reading of this essay.
hprotagonist 42 days ago
Derrida gave the most succinct definition i’ve heard, in i believe The gift of death : “religion is responsibility, or it is nothing at all.”

been chewing on that one for a while now.

Terr_ 43 days ago
There's also an overlooked distinction between a religion versus a religious belief.

For example, "the sun is an egg of the great pillbug that created the universe" is a religious belief, but it would be quite a stretch to call it a religion.

I think the distinction is particularly important because it underlies how a lot of people talk past each other when it comes to atheism, since "zero gods have ever existed" is also a religious belief without being a religion.

bazoom42 42 days ago
I agree religion is much more than beliefs. Rituals, community, traditions etc is at least as signifiant as beliefs.

But by what criteria is “zero gods exist” a religious belief compared to say “phlogiston does not exist”?

Terr_ 42 days ago
Well, flip it around, by what criteria was the positive "phlogiston exists" a religious belief to start with?

For almost any positive statement about religious topics or implications, the negated version remains also about religious topics or implications.

"Bread doesn't exist" is still a belief about the concept of bread.

bazoom42 40 days ago
So if some religion claims sunspots does not exist, it would make the existence of sunspots a religious belief?
nbulka 43 days ago
something that makes metaphysical claims. Like the age of the universe, and a universal telos or lack thereof.
bazoom42 42 days ago
That just moves the problem to the definition of “metaphysical”. If a scientific theory is falsifiable, by what definition can it be considered metaphysical?
nbulka 42 days ago
when a theory makes claims about events that fall outside of the physical system they become metaphysical:

age of the universe, creator or not, teleology, interpretations of probability, primacy of logic (are we allowing for the law of excluding middle or not)

Science doesn't do these things but scientism does.

bazoom42 42 days ago
Cosmology certainly have theories about the age of the universe.
vinnyvichy 43 days ago
Translated by JS Bell of the Inequalities fame
da-bacon 43 days ago
Edited

Wait this is a different John Bell (https://publish.uwo.ca/~jbell/) than the Bell Inequalities (https://en.wikipedia.org/wiki/John_Stewart_Bell). But strangely that John Bell has also worked on quantum foundations (looks like quantum logic and contextuality).

vinnyvichy 43 days ago
Oops my bad!! Thanks for the point-out! My rampant pareidolia must have filled in the 'S'.

(Not a defence, I was just recently thinking about the Bell Ineqs in terms of the Grothendieck Ineqs and this popped up in my feed)

alan-crowe 43 days ago
Grothendieck starts by asserting that the experimental-deductive method has been spectacularly successful for four hundred years. His article never gets round to revisiting this. He never notices the bi-modal quality of the successes. Some truly spectacular successes, quite a lot of knowledge that hints weakly, and a rather empty middle ground.

Think about gyroscopes. Newton invents classical mechanics, with no specific rules for rotating objects. You get a top mathematician, Euler, to work out the implications for rotating objects. The implications are weird and implausible. But it turns out that they are spot on. People invent gyroscopes and exploit the truly spectacular success of the experimental-deductive method.

Another example could be James Clerk-Maxwell building on the work of Faraday and Ampere to come up with Maxwell's Equations. The equations predict electro-magnetic radiation, so Hertz goes looking and, yes, it is really there!

I want a name for this kind of truly spectacular success. I'll build on the gyroscope example and call it Gyro-gnosis.

But think instead of Hook's law. Spring force is proportional to extension. Kind of. It is useful enough if you don't pull too hard on your spring, but it is not fundamental. Or think of animal testing in medicine. There is some theory. All life on Earth today is based on DNA. We know the branching of the tree of life; mice are mammals, so mouse research should link up with human health, sometimes, a little bit. But theory and experiment combine to give us hints rather than wisdom.

I want a name for this kind of weak knowledge that so often leads to disappointment. Stealing the T from Theory, taking the whole of hint, and the end of wisdom, I'm going to write Thintdom.

By page six, Grothendieck is on to his manifesto "Fighting Scientism". We are certainly in trouble, due to thintdom being granted the prestige of gyrognosis. But if you want to push back, you have to drive a wedge between thintdom and gyrognosis. Since gyrognosis is truly spectacularly successful, fighting against it is just banging your head against a brick wall. One needs to separate out the weaker forms of knowledge so that one can criticize thintdom without its proponent being able to use gyrognosis as a shield. If you let thintdom and gyrognosis be joined together as empiricism, your criticism cannot be made to stick because the parts of empiricism that work well, work far to well to be criticized.

It is now commonplace to notice the depth of the technology stack, from applications, down through compilers, assemblers, the block diagram level of hardware, the register level, the logic gate level, the transistor level, circuits with parasitic inductance and capacitance, doping and migration, statistical effects,... When you build up the way, some of the lower level features are preserved, such as conservation of momentum. And some of the lower level features help with understanding the higher levels. But medicine offers a clear warning that Nature's stack is too deep. Four hundred years of "success" have taught us what that leads to. Sometimes you get gyrognosis. Sometimes you get thintdom.

By the end of his piece Grothendieck is pining his hopes on "inner class contradiction" within the scientific caste. Maybe. I think the most promising starting point is to push back against linguist poverty. We have only one word, empiricism for, err, empiricism, so the four hundred year old empirical lesson that the successes of empiricism are bimodal goes unnoticed.

nuc1e0n 42 days ago
All life contains DNA only if you consider anything that lacks it to not be alive. There are viruses which only contain RNA for example. DNA-less organisms are an active topic of research.
lapinot 40 days ago
For a bit more background on Grothendieck's position on science, I've recently translated Grothendieck's talk on science at CERN, which was quite hard to find at some point: https://github.com/Lapin0t/grothendieck-cern/.
vinnyvichy 40 days ago
Hey, thank you for your service! you should post this to the front page as its own article!

>I think that agriculture, stockbreeding, decentralized energy production, medicine of a certain kind, very different from the medicine that prevails today, will come to the fore.

>In general, people see two extreme alternatives and see no middle ground between the two. If the person I'm talking to has chosen a certain alternative and I have a vision that lies beyond the one they considers good, they'll immediately accuse me of having chosen the opposite extreme alternative, because they can't see the middle ground.

OliverJones 43 days ago
In my time as a biochem undergrad and grad student, I had to memorize and regurgitate the Krebs cycle no less than four times. None of those romps through it addressed the question of how TF did those scientists figure it out.

There's the science of Karl Popper, where no statement can be considered scientific unless it is possible to devise an experiment to disprove it. And there's the science of education, where we memorize and regurgitate stuff.

Those two are stunningly different from each other. Yet, it's not possible to get to the mysterious work of actually doing Popper-level science without memorizing what went before. The critiques of this paper still ring true half a century on. I wish more students of science from primary school on up would pester their teachers and each other with the question, "how do you know?"

jessriedel 43 days ago
I sort of agree, but compared to just learning the Krebs cycle it takes orders of magnitude more time to understand either (a) the actual historical discovery/justification or (b) a modern streamlined justification that would allow one in principle to reconstruct it. It's already very challenging to teach biology students as much as they need to know without justifications. For them to be able to justify all they know would dramatically reduce how much they could be taught. And indeed, the desire by teachers that their students should know the justifications has often led to the actual history being so grossly compressed and caricaturized that it's downright misleading -- worse than not knowing.

It seems the best we can hope for is to mostly just learn the known facts and, separately, the abstract way in which scientific theories are justified, augmented by a close analysis and understanding of a few case studies. Even that if of course rarely achieved in education.

Incidentally, folks in this thread may be interested in "Proofs and Refutations" by Imre Lakatos, where it's shown how this same issue is (surprisingly) found to exist almost as badly in academic mathematics, despite math being thought of as one of the few places where the experts learn how to the edifice is built from the ground up.

nyc111 42 days ago
I like the word scientism, but what he describes is really academic scholasticism. Maybe we should call it neo-scholasticism. The practioners of this profession is the same old "learned doctors." They make their living by selling (in this field "selling" means "teaching") the knowledge they have hidden in a proprietary language. Academic education is a ponzi scheme. You are forced to pass formal exams in order to gain the right to enter the next level of exams. When there are no more exams to take you are given a piece of paper and thrown out of the system. This is an exaggerated and pessimistic view but it has some truth in it.
Barrin92 42 days ago
this is a modern and popular take because we live in very egalitarian times but inherent to scholasticism is one simple observation, that to work with knowledge you have to have an adequate capacity in the mind of the person handling the knowledge, that is to say, knowledge in some sense is just like anything else. Knowledge needs to be tended to.

We wouldn't call a maintainer of watches, guns, flowers or any other artifact a neo-something-ist when one points out that it requires great skill to handle the respective artifacts in a way that does them justice, but when it comes to knowledge very quickly people are accused of being elitist, gatekeepers or worst of all, academics.

Proprietary language is treated like a conspiracy, not like a natural development in any domain where people invest a lot of time to build specialized knowledge, on the grounds that apparently someone who hasn't invested any time can't understand what's going on. The decline of scholasticism is honestly one of the single worst things in our age and responsible for most modern grifting.

nyc111 42 days ago
Thanks, enlightening comment. You are right.
romwell 43 days ago
I have been really hoping that these myths would not be as prevalent today as they are.

Personally, I've been greatly influenced by Feynman's great autobiography Surely you must be joking, Mr. Feynman![1].

In it, the Noble-prize winning Scientist conveys a worldview that has none of the scientism derided by Grothendieck in this essay. It is a vaccine against scientism, if you may - and a triumph of curiosity, common and uncommon sense.

Feynman also coined[2] the description of physics (which I use to describe mathematics as well), that annihilates the high-priest narrative of "reason" as the driving force:

Physics is like sex: sure, it may give some practical results, but that's not why we do it

In the end, we do things because they feel good and because they feel right.

Mathematics more so than anything else; we are guided by a sense of beauty and what's interesting. It's an art of story-telling and surprise.

Much of science is motivated by emotion and little else: the curiosity to untangle the patterns of how things work, drive to be the first to solve the mystery, the mission of doing the right thing.

Without those, science doesn't science. Feynman gave one straightforward example: the military wasn't telling some of the lower-ranking researchers of the Manhattan project what they were working on, and why. They were lagging behind. Once they were told, at Feynman's insistence, that they were a part of a project to build a bomb that would end the war, they exceeded all expectations.

Because with that, their work gained a purpose, and gave hope.

In the end, how we feel about things is everything. Scientists are just those people who feel good when they find out how things work, just like engineers are those people who feel good when they make things work (or make things that work).

[1] https://en.wikipedia.org/wiki/Surely_You%27re_Joking,_Mr._Fe...!

[2] Disputed, but it's definitely in his character: https://en.wikiquote.org/wiki/Richard_Feynman

ants_everywhere 43 days ago
This is a pretty confused piece of writing and totally falls apart on myth 4:

> Only the opinion of the experts in a given field has any bearing on any question in this field.

This has nothing to do with science and is really a point about the division of labor/economics.

The rejection of experts has been a hallmark of scientific and mathematical thinking since ancient times, most famously in Socrates. But the thread continues throughout all of human history.

I like Grothendieck's work a lot, and I know he had unconventional politics. But this reads like one of the many Marx-influenced attempts from that period to discredit the idea of truth.

lapinot 40 days ago
> This has nothing to do with science and is really a point about the division of labor/economics.

This is not a critic of the idea science, ie some kind of pursuit of knowledge using any reasonable means. It is a critic of the modern institution that academic science currently is. As such, yes, some critics are in fact more generally applicable than just for science (as you say, division of labor). But these are particularly visible in science and have specific consequences in this context.

fraggle_ 43 days ago
It falls apart since the beginning: the science definition given does not match the real world process of building scientific knowledge.
casey2 42 days ago
Maybe the 70s were different, I confess I'm not that old. But in my experience you would be hard pressed to find a person, scientists, technologist or nah that agrees totally with any of the myths presented, so eh.

I bet it's fun to pretend like your the little guy fighting against dogma, but try to remember we still live in a world where the majority of people still worship some flavor of desert cult leader from 2000 to 200 years ago. So crying about science being bad too just feels a bit tone deaf

bazoom42 42 days ago
Yeah it seems like a huge strawman. I’m sure somebody somewhere prays to Albert Einstein but I doubt it is commonplace.
zvolsky 43 days ago
A more measured take on the relationship between science and religion: https://philosophy.stackexchange.com/a/29763
gwbas1c 43 days ago
Science can only prove what can be observed, because the scientific method relies on observation.

There are some things that we can make very accurate guesses on: IE, evolution. No one observed evolution over millennia, yet there is an abundance of observable evidence that makes the theory of evolution generally accepted as fact.

But there are things that we can not observe, and can only make educated guesses at. Today that's multiverse theory. In the past, it was the theory of relativity.

---

My point is that to call science a religion (Scienceism) is to fundamentally misunderstand the limits of observation, and the purpose of religion. Science will never tell us why we're here, is there a god, does it love us, is the human soul immortal, do all dogs go to heaven, ect. At best it can only explain religion from anthropomorphic principles.

And that's okay.

The problem comes when scientists think that observed fact (or generally accepted fact) negates religion, or when religious people think science is a replacement for religion.

reify 43 days ago
[flagged]
dang 43 days ago
Please don't do this here.
nbulka 43 days ago
Can you BELIEVE people once thought the beginning of everything was 6,000 years ago? Thank goodness every sane person is unequivocally certain that it was actually 14 billion years now!
Koshkin 43 days ago
Well, the difference is that "6000" is not science, while "14 billion" is. And no, there is no need to "believe in science" (although many indeed do); the idea that "scientific fact" (let alone a hypothesis) is something that is "unequivocally certain" is certainly wrong.
nbulka 43 days ago
6,000 was the guess of technology 200 years ago. They had their reasons. Today 14 billion is the technology of our time. We have our reasons. My point is that technological progression seems to support the idea that 14 billion will seem like a silly number 200 years from now, in a similar way.
edflsafoiewq 42 days ago
If it does, then 200 years from now I think there will still be holdouts for 6000 years, but there probably won't be any for 14 billion.
nuc1e0n 42 days ago
Who can say? But based on my experience of human nature I think there will be.
nbulka 42 days ago
For sure. And that underscores the probabilities that are either are true.
bmacho 43 days ago
Funny thing that this a misconception (popularized by Hawking). The Big Bang is not "the beginning of everything" (as Hawking used to say), just an event in the past, that we are fairly certain that it happened, and when it happened.
nbulka 43 days ago
Certain?
swayvil 43 days ago
I see your point. It implies that the way we see and think is bound to this mass of people that we are in the midst of. Like a pebble in the midst of an avalanche.

How could you unbind yourself? For better seeing etc.

nbulka 42 days ago
I think a healthy dose of skepticism is warranted for claims like the age of the universe. The closer the measurements are to a human magnitude, the more likely they are to hold up to future science.