[HN Gopher] The Relativity of Wrong (1989)
       ___________________________________________________________________
        
       The Relativity of Wrong (1989)
        
       Author : tate
       Score  : 117 points
       Date   : 2023-09-12 13:45 UTC (9 hours ago)
        
 (HTM) web link (hermiene.net)
 (TXT) w3m dump (hermiene.net)
        
       | PrimeMcFly wrote:
       | It's amazing the amount of people who dismiss current findings by
       | claiming we were wrong in the past, so nothing can be trusted.
        
         | alexvitkov wrote:
         | I'm dumb and ignorant, therefore we all are.
        
           | irrational wrote:
           | Well, yes, but some more than others.
        
         | scns wrote:
         | Well. For me, Immanuel Kants' (1724-1804) "Ding an sich" (The
         | thing in itself) lays the groundwork for modern science. My
         | translation would be: "Since our senses are so easily fooled,
         | we will never grasp the thing in itself." IMAO a reasonable
         | scientist says: "We can only say what is least likely wrong."
         | Can you win elections with sentences like these?
        
         | somat wrote:
         | It is an over reaction, but it is true. in both fields.
         | 
         | Scientific: scientific knowledge on a subject is never solved.
         | it merely approaches the solution. it was wrong in the past, it
         | is less wrong today, but still wrong.
         | 
         | Cultural: The cultural truths of today were wrong in the past
         | and will be wrong in the future.
         | 
         | I think the correct take away is not so much "nothing can be
         | trusted" as it is "trust, but verify"
        
           | feoren wrote:
           | There is no parallel between scientific knowledge and
           | whatever you're calling "cultural truths". To the extent that
           | there is lasting progress in culture, it is through art,
           | music, and literature, not through "truth". Truth is the
           | realm of science alone. Yadda-yadda genital mutilation: that
           | is not culture, it's ignorant cruelty, and science can indeed
           | show that, by showing that it causes health problems, causes
           | pain even in babies, brings none of the claimed benefits,
           | etc. Most of the old-hat cultural-relativism arguments come
           | down to plain-old scientific ignorance, just as if there were
           | cultures out there that still believed the Earth is flat.
           | Those are not "cultural truths", they are scientific
           | ignorance.
           | 
           | > "trust, but verify"
           | 
           | We're talking about the collective knowledge and
           | understanding of all of humanity. How are you going to verify
           | for yourself the value of the Planck constant and the exact
           | curvature of the Earth and the exact age of the Universe? Are
           | you going to build your own $50-billion particle accelerator
           | to verify the existence and strength of the Higgs field?
           | Through decades of study you may get to the point where you
           | can indeed verify _one_ of the millions of foundational
           | truths that we build further knowledge upon.
           | 
           | "Trust, but verify" doesn't belong here. You should not
           | "trust", nor can you possibly "verify". It's more like
           | "understand". These truths must fit together cohesively, or
           | if they don't, it should be glaring unsolved problem (e.g.
           | gravity vs. quantum mechanics). Test new ideas against the
           | rest of the theory to relentlessly look for contradictions or
           | poor fits. Develop your mental model. You never need to
           | really "trust"; everything has a wrongness error-bar around
           | it. The wrongness error-bar of the shape of the Earth is very
           | small; it includes subtle corrections due to slight
           | variations in the gravitational field and the pull of other
           | bodies, but it does not include a flat Earth.
        
             | karaterobot wrote:
             | > that is not culture, it's ignorant cruelty
             | 
             | Being ignorant and cruel does not make something separate
             | from culture. Many things in culture are ignorant and
             | cruel. Being demonstrably unhealthy and without benefit is
             | also tangential to being part of culture. Even science is
             | not separate from culture: science has a culture, with its
             | own biases, as has been shown many times.
             | 
             | > Truth is the realm of science alone.
             | 
             | That's interesting. Mathematicians might say truth is the
             | realm of mathematics alone. Philosophers might say they
             | claim it, or nobody does. I think you just have to define
             | what you mean by truth (is it eternal and unchanging?), and
             | once you do that, you open the doors to a lot of other
             | reasonable claimants. This is not an argument for
             | relativism, this is me saying there are different kinds of
             | truth, not that there is no such thing as truth, or that
             | there is no such thing as falsity.
        
               | feoren wrote:
               | [dead]
        
             | nemo wrote:
             | >Truth is the realm of science alone.
             | 
             | This statement isn't a scientifically based statement nor
             | could it be one since science can't measure the truth-value
             | of epistemological claims - your claim can't be true by
             | your own standard.
        
               | feoren wrote:
               | HN comments are small and my comments are limited by the
               | amount of procrastination my day is able to endure.
               | "Truth is the realm of science alone" is a lot of things
               | significantly abbreviated into a pithy and over-
               | simplified HN comment. You could levy the same criticism
               | at almost everything anyone ever says on an internet
               | forum, including "scientifically based statement"
               | (whatever that means) and "science can't measure the
               | truth-value of epistemological claims".
               | 
               | I'm asserting that the only _useful_ definition of the
               | word  "truth", and the core of the definition that almost
               | everyone is actually grasping at when they talk about
               | "truth", is the particular kind of truth that science
               | seeks, and any other definition of "truth" inevitably
               | leads to statements that would be "true" under that
               | definition but clearly nonsensical. Basically if you want
               | "truth" to act "truthy" in all the ways we expect "truth"
               | to behave, then your definition of "truth" is exactly the
               | one that is sought by science and nothing else (here I am
               | including mathematics as a branch of science, even though
               | it's probably better to think of it the other way
               | around).
               | 
               | Here's my definition of truth: the body of statements
               | which are self-consistent with some set of pre-selected
               | axioms. A false statement is one which is inconsistent
               | with those axioms. Plenty of statements are neither (e.g.
               | "this statement is false").
               | 
               | You claim this is not a "scientifically based statement",
               | but really it's just a definition, plus an assertion that
               | other definitions are not useful. The latter is actually
               | falsifiable: show me a useful definition of "truth" that
               | doesn't reduce to this definition. Of course I haven't
               | given you the exact criteria for doing this nor evidence
               | that my assertion is correct, but this is an HN comment;
               | what do you really expect?
               | 
               | > science can't measure the truth-value of
               | epistemological claims
               | 
               | I don't see why that should be true. I can claim to have
               | certain knowledge and science can test me on those
               | claims. If your definition of "epistemological claims"
               | only includes those philosophy-ejaculate sentences that
               | cannot be tested by science, then your definition is
               | useless and boring.
        
         | Workaccount2 wrote:
         | [flagged]
        
         | ilyt wrote:
         | I think people just yearn for certainties and unchangeable
         | anchors in reality, which is why the beliefs that something is
         | designed made by one constant being or force of nature are so
         | prevalent.
         | 
         | "You told me this is reality and now it changed, why I should
         | believe in it again?"
         | 
         | Schools don't get into people's heads how science works enough,
         | and how it is less "discovering the truth" and more "narrowing
         | the uncertainty on how stuff works"
        
           | LeifCarrotson wrote:
           | Absolutely!
           | 
           | > _" You told me this is reality and now it changed, why I
           | should believe in it again?"_
           | 
           | Because that's not what "belief" ought to mean. When you were
           | told that scientific thing in the past, you should have been
           | told that it was believed to be that way using this flawed
           | collection of evidence, analyzed and synthesized by imperfect
           | intelligences, which should have lead to that postulate about
           | reality holding an asterisk with whatever degree of
           | confidence it deserved.
           | 
           | If that uncertainty is something you can't accept, maybe
           | science (and reality) is not for you. Try mathematics
           | instead.
        
       | rom1v wrote:
       | On a related note, sometimes someone may be wrong because he
       | knows more about the subject (but not enough).
       | 
       | A canonical example could be about the "leap year" rules.
       | 
       | For context, the Earth makes a full rotation around the Sun in
       | about 365.2425 days, so we use leap years to compensate:
       | 
       | - add 1 day every 4 years (365 + 1/4 = 365.25)
       | 
       | - but not every 100 years (365.25 - 1/100 = 365.24)
       | 
       | - but add a day anyway every 400 years (365.24 + 1/400 =
       | 365.2425)
       | 
       | Suppose most people only know the first part (1 additional day
       | every 4 years). If we ask "is 2000 a leap year?", they would
       | answer "Of course, 2000 is a multiple of 4". And they would get
       | the correct result.
       | 
       | Now, suppose someone started to study the "subject" (here, there
       | is nothing to study, this is a trivial example for illustration),
       | and is aware of the second rule (but not the third one). He would
       | say "Ahah, no, 2000 is not a leap year, because it is a multiple
       | of 100". But he would get the wrong answer.
       | 
       | My impression is that this kind of mistakes happens often while
       | learning a subject: by studying, we encounter exceptions or
       | surprising facts, that we may apply too broadly (to the point we
       | make absurd claims, but that appear absurd for the wrong
       | reasons).
        
         | fossuser wrote:
         | This can come up in other interesting ways.
         | 
         | There are human behaviors that appear to be entirely selected
         | for (and then kept around via culture) [0].
         | 
         | In this case a population may do something like have pregnant
         | women avoid eating sharks which are otherwise a normal part of
         | their diet. They don't know why they don't eat the sharks, they
         | just don't. It turns out the sharks contain something that
         | causes birth defects. Commonly people think someone must have
         | realized this and then that original knowledge was forgotten,
         | but it's quite likely it was never known and the behavior was
         | entirely selected (pregnant women that didn't eat the sharks
         | more successfully reproduced).
         | 
         | When you press the women to answer why they don't know, if
         | forced to answer they make something up (it'll give my baby
         | shark skin).
         | 
         | You could imagine someone thinking that's stupid and then
         | eating the sharks and getting a baby with birth defects.
         | 
         | I think this explains a lot about why superstitious belief is
         | so common in humans and animals.
         | 
         | Reason is obviously selectively advantageous, but a little
         | reason incorrectly or over confidently applied can also be
         | harmful, most people are bad at individual reasoning (endless
         | conspiracy theories) and are often better off with consensus.
         | 
         | For every contrarian that unlocks massive value by being
         | contrarian _and_ correct there are ten cranks that just hold
         | false beliefs that potentially harm themselves and others.
         | 
         | [0]: https://slatestarcodex.com/2019/06/04/book-review-the-
         | secret...
        
         | sopooneo wrote:
         | This follows a pattern I've noticed where an expert's approach
         | may seem similar to a pure novice's. With only the intermediate
         | practitioner seeming to follow any rules.
        
           | ajuc wrote:
           | This is so common there's a meme template :)
           | 
           | https://pbs.twimg.com/media/FffvEX5UAAAysZC?format=jpg&name=.
           | ..
        
           | cfiggers wrote:
           | First you learn the conventional wisdom.
           | 
           | Then, you learn that the conventional wisdom is wrong.
           | 
           | Finally, you learn that you didn't actually learn the
           | conventional wisdom the first time around, typically by
           | rediscovering it yourself.
        
         | ndsipa_pomu wrote:
         | A simpler example may be that a person with one clock knows the
         | time, but a person with two clocks is never quite sure.
        
           | mrob wrote:
           | It's a popular phrase, but it doesn't make sense if you think
           | about it. The person with two clocks can average the time of
           | both of them and get a result they can be more confident in
           | than the person with only one.
        
             | ndsipa_pomu wrote:
             | That only works if both clocks are wrong in opposite
             | directions and so confidence wouldn't be appropriate.
             | Taking the average might work if you've got a whole bunch
             | of clocks and they show a distribution such as a bell curve
             | - that's what's required to become more confident than the
             | single clock owner.
        
               | mrob wrote:
               | I'm assuming the error of every clock has the same
               | probability distribution. I think this is a reasonable
               | assumption, because the phrase only mentions the number
               | of clocks. In this case, the more clocks you average the
               | lower your expected error.
        
               | ndsipa_pomu wrote:
               | But with just two clocks, the distribution isn't evident.
               | They could both be running fast and thus the average
               | would be worse than the clock showing the earlier time.
               | You'd have no way of knowing without consulting more
               | clocks.
               | 
               | Also, with clocks you should be measuring the rate at
               | which they measure time. Typically clocks can run fast or
               | slow which means that the time shown is a function of how
               | long they've been running since they were last correct.
        
               | mrob wrote:
               | It's possible for the person with the single clock to get
               | lucky and have a more accurate time than the average, but
               | the original quote says "knows the time". Using the
               | traditional definition of knowledge as "justified true
               | belief", somebody with a lucky clock does not truly know
               | the time. Their belief is true, but not justified. It's
               | really the person with multiple clocks who has more
               | accurate knowledge of the time. The more clocks they
               | average the more justification they have for their
               | belief.
        
               | ndsipa_pomu wrote:
               | The single clock owner doesn't have to be especially
               | lucky. Imagine if they had a clock that was two minutes
               | fast and the dual clock owner had one that was merely a
               | minute fast and the other was ten minutes slow. The
               | average would be less accurate, despite owning the most
               | accurate clock. Two clocks just don't work for
               | statistical analysis (three clocks are unlikely to help
               | either).
               | 
               | Also, the single clock owner is justified in believing
               | that they have the correct time as there's nothing to
               | suggest that they could be wrong. Two clocks introduces
               | doubt where there was none before.
               | 
               | Rather than using "justified" true belief, humans tend to
               | go for the easier option and would be more likely to go
               | to the person with just one clock, until they find
               | someone with enough clocks and clout to point out the
               | likely correct time.
        
           | watwut wrote:
           | I have many clocks and typically I am sure about the time. I
           | keep them in sync or know which one is off.
        
             | dang wrote:
             | Sorry for the offtopicness but could you please email
             | hn@ycombinator.com?
             | 
             | I don't mean to pester you but there's an important issue
             | with your account that we need you to know about.
        
             | ndsipa_pomu wrote:
             | How do you keep them in sync? I bet you're using an
             | established time source.
        
               | AnimalMuppet wrote:
               | Walk around with a wristwatch. Even if the watch isn't
               | synced to something authoritative, you can still use it
               | to get all the clocks the same as each other (and the
               | watch).
        
               | ndsipa_pomu wrote:
               | What if the watch runs fast - how do you synchronise the
               | other clocks to an untrustworthy watch? For extra points,
               | assume that the clocks are all in different rooms so you
               | can only see one at a time and it takes an unknown number
               | of seconds to go from one room to another.
        
               | AnimalMuppet wrote:
               | The easy answer is that the watch doesn't run _that_
               | fast. If it runs, say, 10 seconds fast a day (which is a
               | lot), then if walking from one room to the other takes a
               | minute, the watch is off by... 0.007 seconds. I 'm not
               | going to be setting the clock that accurately.
               | 
               | But if the clock just runs _consistently_ fast (and if I
               | know how fast it runs), then I can use the watch to
               | measure how long it took to walk from one clock to the
               | other, and from that I can compute the correct time to
               | set the second clock to.
        
               | ndsipa_pomu wrote:
               | How could you know how fast it runs without comparing to
               | an accurate time source? Maybe it's running slow and you
               | don't even realise it.
        
               | AnimalMuppet wrote:
               | Well, I can compare it to all the clocks.
               | 
               | But, you know, if I have no accurate source of time, why
               | do I bother having a watch and N clocks?
        
               | ndsipa_pomu wrote:
               | You're a clock collector?
        
         | EGreg wrote:
         | Far more broadly, think of logic as just a low-dimensional
         | approximation of something complex.
         | 
         | Humans deal with logic and are taught "i before e except after
         | c" etc. But even with describing human languages that may be
         | inadequate.
         | 
         | What AI does is it essentially makes a model by which you can
         | search a latent space quickly -- both to clasify input and to
         | generate output.
         | 
         | You can throw the recorded motions of the planets and stars at
         | it and it might find physical laws that have 80 variables while
         | humans want to deal only with simplified versions like Kepler's
         | laws of motion.
         | 
         | In the vacuum of space those laws may be enough but when it
         | comes to the complexity of chemistry, biology, genetics,
         | politica, etc. the AI might have way better model that we can
         | never understand. Like for dietary recommendations. Would
         | people follow them?
         | 
         | And what if they are wrong in some other ways? Like how humans
         | beat AlphaGo through its blind spot or how you can fool face
         | recognition by wearing a hoodie etc.
        
         | [deleted]
        
         | hsod wrote:
         | I think this is pretty much what the term "midwit" refers to
        
         | karaterobot wrote:
         | The bimodal variation of this is the famous (?) quote about the
         | U.S. civil war, which goes something like: in elementary
         | school, you learn the Civil War was about slavery. In high
         | school, you learn it was about economics. In college, you learn
         | it was actually about slavery.
        
         | yllautcaj wrote:
         | "A little knowledge is a dangerous thing."
        
           | robgibbons wrote:
           | From "A Little Learning," by Alexander Pope
           | 
           | A little learning is a dangerous thing; Drink deep, or taste
           | not the Pierian spring: There shallow draughts intoxicate the
           | brain, And drinking largely sobers us again.
        
         | ilyt wrote:
         | In IT we call those people "power users", the absolute bane of
         | tech support.
        
           | gorlilla wrote:
           | In power-user-land we call IT glorified gatekeepers.
           | 
           | Neither would be entirely accurate and not every of either is
           | always one of either and either can be both at the same or
           | different times..
        
         | banannaise wrote:
         | The true expert realizes what question is being asked, and
         | grabs a calendar.
         | 
         | Two people, equally knowledgeable and given the same problem,
         | will not necessarily come up with the same solution. Leap years
         | are not a mathematical fact; they are an engineering solution
         | to a mathematical challenge. An expert looking at orbits is
         | unlikely to decide that we must specifically add an extra day
         | to February; you only know that we use this solution by
         | deriving it from calendars.
        
         | behnamoh wrote:
         | Also applies to creativity.
         | 
         | - Knowledge = little ==> little creativity to add something new
         | 
         | - Knowledge = mid ==> great creativity
         | 
         | - Knowledge = high ==> little creativity to add something new
        
           | onemoresoop wrote:
           | Could you please expand on this?
        
             | The_Colonel wrote:
             | State of the art is that X is impossible. An expert knows
             | that, and therefore does not pursue it.
             | 
             | A non-expert doesn't know X is impossible, pursues it and
             | solves it.
             | 
             | I don't have any specific example, though.
        
               | anon____ wrote:
               | There's a famous story that's a good example here, I
               | think: George Dantzig solved two open problems in
               | statistical theory, which he had mistaken for homework
               | after arriving late to a lecture at university.
               | 
               | https://en.wikipedia.org/wiki/George_Dantzig
               | 
               | > In 1939, a misunderstanding brought about surprising
               | results. Near the beginning of a class, Professor Neyman
               | wrote two problems on the blackboard. Dantzig arrived
               | late and assumed that they were a homework assignment.
               | According to Dantzig, they "seemed to be a little harder
               | than usual", but a few days later he handed in completed
               | solutions for both problems, still believing that they
               | were an assignment that was overdue. Six weeks later, an
               | excited Neyman eagerly told him that the "homework"
               | problems he had solved were two of the most famous
               | unsolved problems in statistics. He had prepared one of
               | Dantzig's solutions for publication in a mathematical
               | journal. This story began to spread and was used as a
               | motivational lesson demonstrating the power of positive
               | thinking. Over time, some facts were altered, but the
               | basic story persisted in the form of an urban legend and
               | as an introductory scene in the movie Good Will Hunting.
        
               | abridges6523 wrote:
               | Love that story.
        
               | onemoresoop wrote:
               | I think I get it. Applying lateral or novel thinking to a
               | problem unfamiliar...
        
           | ilyt wrote:
           | I feel like that's mostly anecdotal. Nobody remembers the
           | "mid knowledge people that did nothing interesting"
        
       | nuancebydefault wrote:
       | (0) is a great book that explains very neatly why even long
       | disproved models of physics were right, only less right then
       | newer models.
       | 
       | (0) https://en.wikipedia.org/wiki/Reality_Is_Not_What_It_Seems
        
       | bell-cot wrote:
       | I get the sense that Dr. Asimov was too little of a "people
       | person" to usefully discuss the all-too-common human urge to tell
       | others that _you_ are right, and _they_ are wrong. Or positive
       | ways to handle that urge.
       | 
       | OTOH, he may have been quite aware that "read more Asimov, and be
       | more smug about being right more often" was a major motive for
       | people buying his non-fiction writing.
        
         | mcstafford wrote:
         | > Those people who think they know everything are a great
         | annoyance to those of us who do. -- Isaac Asimov
         | 
         | Useful discussion is an interesting scope for someone with the
         | broad, in-depth knowledge of a vast array of subjects he
         | demonstrates in the linked essay.
        
         | the_af wrote:
         | Asimov was a people person though. He wasn't a nerd in the
         | typical sense; he went to parties, conventions, meetings,
         | mingled with people, belonged to multiple clubs, etc.
         | 
         | From Wikipedia:
         | 
         | > _" Asimov was an able public speaker and was regularly hired
         | to give talks about science. He was a frequent participant at
         | science fiction conventions, where he was friendly and
         | approachable. He patiently answered tens of thousands of
         | questions and other mail with postcards and was pleased to give
         | autographs."_
         | 
         | I think that, in driving home a valid point, this essay gives
         | the wrong impression of Asimov as someone who would scold his
         | readers.
        
           | jaclaz wrote:
           | This:
           | 
           | http://www.asimovonline.com/oldsite/future_of_humanity.html
           | 
           | is a transcript of a 1974 talk/lecture that shows how fun and
           | modest he was, while still delivering a lot of interesting
           | points to ponder.
        
       | davinci123 wrote:
       | Every VC and founder needs to read this post - there are no
       | absolute rights or wrongs. So, whatever worked for Google will
       | not work for Instacart.. whatever thesis of investing worked in
       | the last decade will not work in the next decade.. Start from
       | first principles!
        
       | htoowintshein wrote:
       | [flagged]
        
       | mcguire wrote:
       | " _Virtually all that we know today, however, would remain
       | untouched and when I say I am glad that I live in a century when
       | the Universe is essentially understood, I think I am justified._
       | "
       | 
       | I think most people at most times would have agreed with that.
       | 
       | But the difference would be in the meaning of "the Universe"; the
       | "basic rules of gravity" would hardly be the important part to
       | most peoples at most times.
       | 
       | Oh, and...
       | 
       | " _I received a letter from a reader the other day. It was
       | handwritten in crabbed penmanship so that it was very difficult
       | to read....however low on the social scale..._ "
       | 
       | Nice.
       | 
       | "*I received a letter from a reader the other day. It was
       | handwritten in crabbed penmanship so that it was very difficult
       | to read.
        
       | htoowintshein wrote:
       | [flagged]
        
       | hirundo wrote:
       | Socrates then, by a series of ignorant-sounding questions, forced
       | the others into such a melange of self-contradictions that they
       | would finally break down and admit they didn't know what they
       | were talking about.            It is the mark of the marvelous
       | toleration of the Athenians that they let this continue for
       | decades and that it wasn't till Socrates turned seventy that they
       | broke down and forced him to drink poison.
       | 
       | It's seldom pleasant to be (accurately) instructed in your own
       | ignorance, particularly by someone pretending not to know
       | anything. Asimov's theory that Socrates' death was a result of
       | his habit of patronizing everyone rather than the actual charges
       | is plausible.
        
         | tacitusarc wrote:
         | There can be a balance here. Often I'll have a viewpoint and
         | when I hear a different one, I won't immediately say I
         | disagree. Instead I'll ask questions to discover where the gap
         | in our understanding lies. Then, it may be helpful to share
         | that I have additional knowledge (I'd I do), or to learn
         | something I was missing, or to recognize we value different
         | things and move on. Immediate disagreement is often far less
         | productive.
        
           | sopooneo wrote:
           | Methods for coming to understanding between parties acting in
           | good faith really fascinates me. One thing I've noticed is
           | the fundamental crux often lies with some assumption each
           | party finds so fundamental that they wouldn't bother to state
           | it, and don't even necessary realize they hold the view *.
           | 
           | As a gross example, my wife told me the other day of a buyer
           | of some CraigsList item that called to say she couldn't find
           | our address. They went back and forth each getting more and
           | more flummoxed by the other's statement of what streets were
           | where. Finally it was discovered that the caller was in
           | Cambridge, Ontario, having misnavigated CraigsList, while we
           | were in Cambridge, MA.
           | 
           | It is mistakes so fundamental as these that are hard to
           | discover. One help I've often found is to bring in a fresh
           | third party.
           | 
           | * _Saying to "state your assumptions" seems futile to me.
           | There are too many. The sun will rise, time will continue to
           | tick by at the same rate, your friend didn't change his name
           | yesterday, Coke still sells soft drinks._
        
           | ndsipa_pomu wrote:
           | As a counterpoint, people acting in bad faith can continue
           | asking questions. It's usually known as "sealioning"
           | 
           | https://wondermark.com/c/1k62/
        
         | the_af wrote:
         | Also, in internet arguments, there's nothing more infuriating
         | than the other person appointing themselves as some kind of
         | modern-day Socrates and "teaching" you.
        
           | PrimeMcFly wrote:
           | Forgive me, if I may be so kind as to ask, but what makes you
           | think such people are trying to "teach" you?
        
             | paulluuk wrote:
             | Hm, that's an interesting question. What makes you want to
             | ask this?
        
         | mlsu wrote:
         | Like many people, I took a college course that talked all about
         | Socrates and we read the Apologia and stuff.
         | 
         | I had assumed that it was basically all fiction. That there was
         | some guy who kept being annoying by asking questions, so much
         | so that he was put to death, it's just a little too cute to be
         | historical fact.
         | 
         | And that all of us discussing this stuff as if it actually
         | happened is actually just an exercise in reiterating the
         | truthiness of the underlying idea; that if we said it was
         | fiction at the start, we'd be doing lit analysis, rather than
         | philosophy.
         | 
         | Right?
        
           | rck wrote:
           | No, there's pretty good evidence that Socrates did exist,
           | though there is debate about what he actually believed and
           | taught, since in Plato's later dialogues the character of
           | Socrates typically was advancing Plato's position. See here:
           | https://en.m.wikipedia.org/wiki/Socratic_problem
        
             | mlsu wrote:
             | I don't necessarily mean that Socrates is a totally
             | fictional character. Just that basically everything we know
             | about his "character" is made up.
             | 
             | Like, he did exist, but the Socrates that we know doesn't
             | talk like that, didn't have those ideas, wasn't that
             | clever, didn't do any of the stuff described, wasn't put to
             | death in such a fashion, etc. Those were all just made up
             | as a way for Plato to forward his ideas; because in those
             | days you couldn't just dryly talk about ideas, you needed
             | to have characters and a story and so on.
        
               | olddustytrail wrote:
               | If you're going to assume that, then why not assume that
               | Plato was equally made up and just a story?
        
       | beebmam wrote:
       | Asimov is such a poignant writer, I can't help but smile when I
       | read him.
        
         | uranusjr wrote:
         | I'm glad he decided to invent an English Literature
         | correspondent to pick on, and also the 1990s was a better
         | society than one that votes to poison a disliked person.
        
           | zafka wrote:
           | It is also funny that he gave this character the name of one
           | of his editors, who he actually disassociated from when said
           | editor started going a bit off the rails.
        
       | [deleted]
        
       | neerajk wrote:
       | New life goal: "There is very little that is new to me; I wish my
       | corresponders would realize this."
       | 
       | Second life goal: To have corresponders
        
         | the_af wrote:
         | Asimov had a humorous style of writing. Of course when he wrote
         | "there is very little that is new to me" he was aware of how
         | arrogant that sounded; he's playing this for laughs. He could
         | also be quite self-deprecating.
        
         | [deleted]
        
       | avgcorrection wrote:
       | I guess all models are wrong but some of them are useful. And
       | more useful than others--
       | 
       | > In the first sentence, he told me he was majoring in English
       | Literature, but felt he needed to teach me science. (I sighed a
       | bit, for I knew very few English Lit majors who are equipped to
       | teach me science, but I am very aware of the vast state of my
       | ignorance and I am prepared to learn as much as I can from
       | anyone, however low on the social scale, so I read on.)
       | 
       | I couldn't imagine writing the parenthetical.
        
       | adasdasdas wrote:
       | The real response to the guy is, "so what". Who cares if we used
       | to be wrong, that's how empiricism works, we posit falsifiable
       | claims until they're proven wrong.
        
       | dang wrote:
       | Related:
       | 
       |  _The Relativity of Wrong (1989)_ -
       | https://news.ycombinator.com/item?id=29811788 - Jan 2022 (5
       | comments)
       | 
       |  _The Relativity of Wrong (1989)_ -
       | https://news.ycombinator.com/item?id=24055125 - Aug 2020 (2
       | comments)
       | 
       |  _The Relativity of Wrong (1989)_ -
       | https://news.ycombinator.com/item?id=17818069 - Aug 2018 (11
       | comments)
       | 
       |  _The Relativity of Wrong (1989)_ -
       | https://news.ycombinator.com/item?id=13082585 - Dec 2016 (16
       | comments)
       | 
       |  _The Relativity of Wrong by Isaac Asimov (1989)_ -
       | https://news.ycombinator.com/item?id=11654774 - May 2016 (60
       | comments)
       | 
       |  _Isaac Asimov: The Relativity of Wrong (1989)_ -
       | https://news.ycombinator.com/item?id=9629797 - May 2015 (138
       | comments)
       | 
       |  _Isaac Asimov - The Relativity of Wrong (1989)_ -
       | https://news.ycombinator.com/item?id=1147968 - Feb 2010 (32
       | comments)
        
       | foldr wrote:
       | Funny, if you like this particular variety of snark. But there's
       | a huge bait and switch in the argument. The English major doubts
       | that we have "finally got the basis of the Universe straight" (in
       | Asimov's words). But Asmimov's primary example of the "relativity
       | of wrong" is the shape of the Earth, which is a particular fact
       | about a particular object. Being charitable, almost no-one (not
       | even the kind of English Lit majors that HN loves to hate!)
       | doubts that we can learn facts about the shape and size of
       | particular objects. It doesn't necessarily follow from this that
       | we should be optimistic about the fundamental correctness of our
       | best theories in the physical sciences. As the English Lit major
       | was no doubt aware, there were plenty of people at the turn of
       | the 20th century who thought that physics was basically finished
       | and that there was nothing left to do except add more decimal
       | places to the results.
        
         | moefh wrote:
         | I don't think that's quite right. Another example given by
         | Asimov is Newton's equations, which are obviously not facts
         | about a particular object. We still today accept them as right
         | (in the right contexts), teach them in universities, and use
         | them when they're useful.
         | 
         | I think Asimov's point is that if someone in Newton's time said
         | "I'm glad to live in a time when we finally understand
         | everything there is to know about the motion of cannon balls",
         | they'd be justified: even though technically there were
         | relativistic corrections to be made, they're pretty much
         | irrelevant for the stated purposes (understanding how
         | cannonballs move). And so in the same way he thinks he's
         | justified in saying that in the 20th century we finally
         | understood the basics of the Universe, even though we still
         | don't know (in his words):
         | 
         | > the nature of the big bang and the creation of the Universe,
         | the properties at the center of black holes, some subtle points
         | about the evolution of galaxies and supernovas, and so on
        
           | foldr wrote:
           | I don't think the cannon ball example quite works because
           | 18th century fluid dynamics wasn't up to the job. (People
           | weren't firing cannon balls in a vacuum.)
           | 
           | Apart from that, I take your point, but I don't find Asimov's
           | attempt to argue that Einstein's theory is just a minor
           | correction to Newton's very convincing. If this were really
           | the case it would make it a bit of a mystery why Einstein was
           | a big deal. The two theories make very similar predictions in
           | a wide range of circumstances, but they're very different
           | conceptually. Asimov is similarly breezy about quantum
           | mechanics, but physicists at the time didn't seem to see
           | quantum mechanics as just a very minor adjustment to
           | classical physics.
        
             | XorNot wrote:
             | Except you don't need fluid dynamics for cannon ball
             | trajectory over sufficiently short distances, or with the
             | constraints on barrel quality and reproducibility of the
             | time.
             | 
             | The same is true of quantum mechanics: physicists were
             | excited about it, but it went going to make existing
             | experimental results and predictions incorrect in context.
             | 
             | The Bohr model of the atom is completely "wrong" but it's
             | still useful enough to foundational in understanding
             | nuclear magnetic resonance analysis.
        
               | foldr wrote:
               | Yes, scientific progress tends to be empirically
               | conservative. But people outside science (like the Eng
               | Lit major) are often less interested in specific
               | predictions than in the overall picture of reality
               | painted by our current best scientific theories. This
               | picture does change quite radically from time to time.
               | The history of different models of the atom (going back
               | to the radically incorrect 'plum pudding' model) is a
               | good example. To point this out is not to attack science.
               | Indeed, science would be far less interesting and
               | exciting if its entire history was nothing but a sequence
               | of small and incremental refinements.
        
         | mistermann wrote:
         | Very much agree...and furthermore:
         | 
         | > It doesn't necessarily follow from this that we should be
         | optimistic about the fundamental correctness of our best
         | theories in the physical sciences.
         | 
         | The disagreement was over _the universe_ , so my first question
         | is: does "the universe" include humans, or not (and: _who
         | decides the fact of the matter_ )? Because all one has to do is
         | watch the news to realize we certainly don't have _everything_
         | fully figured out....I often wonder if our (from my vantage
         | point anyways) belief that we  "pretty much"[1] do may
         | exacerbate this.
         | 
         | [1] Colloquial language, figures of speech, etc are a fantastic
         | _and endless_ source of delusion, that typically cannot be
         | realized.
        
       | LucasLanglois wrote:
       | Interestingly, this highlights that despite popular belief, the
       | scientific process is not about being right or wrong but rather
       | what's powerful.
       | 
       | A theory is promoted because it is powerful in explaining
       | observations and providing tools for humanity until it is
       | improved by the next one. You can build a gun with gravitation
       | but you need relativity for a rocket.
        
         | pixl97 wrote:
         | > the scientific process is not about being right or wrong but
         | rather what's powerful.
         | 
         | Ugh, this is something that bothers me all to hell and back
         | about the non-scientific minded.
         | 
         | "Your science was wrong about (this minute detail), therefore
         | whatever completely made up bullshit I thought up without any
         | supporting evidence is totally valid"
        
         | feoren wrote:
         | All models are wrong; some models are useful.
        
         | jgeada wrote:
         | Quoting from the article "Newton's theory of gravitation, while
         | incomplete over vast distances and enormous speeds, is
         | perfectly suitable for the Solar System. Halley's Comet appears
         | punctually as Newton's theory of gravitation and laws of motion
         | predict. All of rocketry is based on Newton, and Voyager II
         | reached Uranus within a second of the predicted time. None of
         | these things were outlawed by relativity."
         | 
         | We need relativity to correct the atomic clocks on GPS
         | satellites so as to maintain positional accuracy to a few feet,
         | but getting the satellites up there needed only Newtonian
         | mechanics.
        
       | justrealist wrote:
       | The impressive thing about Asimov -- incidental to the quality of
       | the writing -- is he probably sat down and blasted that out in an
       | hour top-to-bottom with no edits. Volumetrically one of the most
       | impressive authors in history.
        
         | iainmerrick wrote:
         | There's a funny story in one of his essays where he's talking
         | to Heinlein about this strange habit other writers have of
         | endlessly redrafting.
         | 
         | "I just write down the first draft, read it through from start
         | to finish and write up the second draft, and that's it," Asimov
         | says.
         | 
         | "What's the second draft for?" Heinlein says.
        
           | the_af wrote:
           | This seems in contrast to Borges, who was never done with
           | corrections and redrafting, going as far as to buy back an
           | edition of a book already in print so that he could make
           | additional corrections (or so the story goes...).
           | 
           | Anyway, I'm a fan of Asimov.
        
             | mikhailfranco wrote:
             | I'm a fan of Borges.
        
             | lainga wrote:
             | One supposes Borges was able to arrive at the final copy by
             | alternately holding up the first and second drafts in any
             | predefined pattern he wanted...
        
             | knodi123 wrote:
             | see also: George Lucas "fixing" the star wars movies and
             | making the originals impossible to find.
        
               | olddustytrail wrote:
               | Have you ever seen the first draft of Star Wars? It's
               | pretty bad.
        
         | jimmaswell wrote:
         | It made the point in the first few paragraphs and the rest was
         | a long winded beating of a dead horse. It could have done with
         | more editing.
        
           | kr0bat wrote:
           | Going from discussing the curvature of the Earth to the
           | finite speed of light wasn't to dunk on the student, it was
           | to demonstrate the increasing relative correctness of our
           | universal theories.
        
             | jimmaswell wrote:
             | I suppose I would've been more engaged if I didn't already
             | know all of these historical anecdotes. As it is I quickly
             | began skimming.
        
           | irrational wrote:
           | Not me. I'd like a lot more. Particularly I'd like this part
           | fleshed out:
           | 
           | > This particular thesis was addressed to me a quarter of a
           | century ago by John Campbell, who specialized in irritating
           | me.
           | 
           | I only know of Campbell from "A Hero With a Thousand Faces".
           | I'd love to read more about how Campbell specialized in
           | irritating Asimov.
        
             | arkadyark wrote:
             | You might be thinking of Joseph Campbell, not John Campbell
             | (https://en.wikipedia.org/wiki/John_W._Campbell)
        
               | irrational wrote:
               | Thank you for clarifying my mistake!
        
             | nemo wrote:
             | The author of "A Hero With a Thousand Faces" is Joseph
             | Campbell. I think he might be talking about John W.
             | Campbell who was a fellow sci-fi author.
        
               | irrational wrote:
               | Thank you for clarifying my mistake!
        
             | the_af wrote:
             | > _I'd love to read more about how Campbell specialized in
             | irritating Asimov_
             | 
             | Campbell (John, not Joseph; you got the wrong Campbell)
             | specialized in irritating lots of people.
             | 
             | First, he was one of Scientology's early advocates
             | (Dianetics, actually), and all kinds of pseudoscientific
             | ideas. Even other scifi authors thought this weird.
             | 
             | His pseudoscientific ideas obviously clashed with Asimov's
             | atheist and rational mindset about the world.
             | 
             | Campbell also bought into bizarre scifi/racist/supremacist
             | theories which were not well received by his fellow
             | authors. He was very pushy and meddlesome as an editor --
             | that alone wasn't unusual in scifi & pulp magazines of the
             | time -- but he was also obsessed about specific and weird
             | directions that he insisted most stories he published must
             | follow.
             | 
             | For example, Philip K. Dick didn't really like Campbell's
             | insistence that most scifi stories must feature telepaths,
             | and also that telepaths must be benevolent and superior and
             | take over humanity. PKD thought this reminded him too much
             | of Nazi "master race" theories, and didn't like Campbell as
             | a result.
             | 
             | The one good thing in Campbell's record: he wrote "Who Goes
             | There", the original story then turned into the "Thing"
             | movies. The story is quite good, too!
        
               | irrational wrote:
               | Thank you for clarifying my mistake!
        
         | mcguire wrote:
         | This is a very common thing in writers from the 1920s to the
         | 60s---they made their living selling articles to magazines that
         | paid a fraction of a cent per word. If they wanted to eat, they
         | had to hammer something out as fast as physically possible.
        
         | [deleted]
        
       | fnovd wrote:
       | As much as I enjoy Asimov, I have to say that he is wrong. The
       | gap between what we know and what is true might have decreased
       | immensely, but it is still infinite. Any quantifiable increase is
       | 0 in relation to infinity. Asimov's counter-argument that we are
       | quantifiably less wrong than we were in the past simply does not
       | overcome this core issue. If there is an infinite amount of
       | knowledge separating what we know from what is true, then we can
       | learn an infinite amount of things and still have an infinite
       | amount of things left to learn.
       | 
       | To feel justified in thinking the universe is "essentially"
       | understood is to be OK with one's concept of the "essential
       | nature" of the universe to be inherently divergent from a future
       | concept, which according to Asimov's own argument is going to be
       | more correct than our own.
       | 
       | To me, it reads as a bitterness towards mortality, a sort of sour
       | grapes: the insights we will have about the universe at some
       | future time must not be very interesting compared to what we know
       | now, because I won't be around to know them.
       | 
       | edit: I guess I shouldn't be surprised that Asimov's perspective
       | is shared here. It's very easy to understand the essential nature
       | of the universe when you define the universe as the parts you
       | understand.
       | 
       | I don't think human beings in 1000 years will look at our current
       | understanding as special in any way. As transformative as our era
       | is, it will be dwarfed by the scale of transformation in future
       | eras. It's just the most transformative era _so far_. That 's
       | temporal bias, nothing more.
        
         | ndsipa_pomu wrote:
         | I think your use of infinity isn't particularly helpful here as
         | it leads to the contradiction that knowing more doesn't lessen
         | the knowledge gap, whereas it does appear to do so.
         | 
         | Maybe, a better interpretation would be that as we learn and
         | understand more, we approach the limits of knowledge. Now it
         | may take an infinite amount of knowledge to actually reach the
         | limits of knowledge (c.f. an infinite series can approach a
         | finite value, but takes forever to get there), but it can still
         | be shown that we are getting nearer.
         | 
         | The other aspect is that as we understand more, we appreciate
         | that there's even more to understand, but that can be thought
         | of as our precision increasing and looking at the available
         | knowledge in greater detail.
        
           | fnovd wrote:
           | There is no contradiction because there is no limit of
           | knowledge.
           | 
           | The limit of y = e^x is infinity. You can keep increasing x
           | and y will increase exponentially. So you plot the function,
           | let's say with the x axis going up to 10 and the y axis going
           | up to e^10. The graph shows very clearly that, while there
           | was progress before, we have even _more_ progress _now_.
           | Exponentially more, even! What came before is dwarfed by what
           | we have now; if you look at the range of y for x values 9-10
           | you can see how little of a difference all those others
           | values (1-8) had between one another, compared to the changes
           | we have now. The rate of change is so high that we 're
           | basically in an era of semi-complete knowledge. We must be at
           | some kind of inflection point, this is truly a unique era of
           | understanding.
           | 
           | Then you repeat. Set the x axis to 100, and the y axis up to
           | e^100. Oh wait, it's the same graph. That's because it's
           | always the same graph. It's scale-invariant. The slope at
           | every point is always whatever y is.
           | 
           | We're always at right at the limit of explaining the
           | "essential nature" of the universe because the "essential
           | nature" of the universe can only be (to us) what we can
           | understand it to be. We chose e^10 as the limit of the y-axis
           | in our first exercise because that's all the knowledge we
           | knew about. We chose e^100 as the limit of the y-axis in our
           | second exercise because that, too, was all the knowledge we
           | knew about. Choosing these random values as the limits of our
           | function (i.e. the limit of the "essential nature of the
           | universe") leaks information into the visualization that will
           | always paint a picture showing that we're at the most
           | transformative time there ever was.
           | 
           | When we do it that way, we will always come to the same
           | _wrong_ conclusion. We will always dwarf what came before and
           | be dwarfed by what comes after. To think that we're actually
           | living in an inflection point is hubris, it's wishful
           | thinking, it's the sour grapes of mortality.
        
             | ndsipa_pomu wrote:
             | > There is no contradiction because there is no limit of
             | knowledge.
             | 
             | I don't think we know enough to be able to state that
             | definitively. It's feasible that the universe behaves
             | mathematically (it seems to so far) and thus possible to
             | gain a thorough understanding of the underlying principles,
             | if not the specific facts (c.f. with understanding how to
             | produce integers yet not "knowing" all the integers).
             | 
             | Even if the universe doesn't have underlying rules to be
             | discovered, there's still a limit to number of
             | configurations available to particles etc. within our
             | visible universe. Although that number might appear to be
             | infinite to us, it's actually drastically closer to zero
             | than to infinity.
             | 
             | So, if there is indeed some finite limit, then using y =
             | e^x would be the wrong function as that doesn't approach a
             | finite value.
        
               | fnovd wrote:
               | This leads to a more fundamental question: What is the
               | universe?
               | 
               | Is the optimal move in an a given chess board considered
               | knowledge? If so, can't we create entirely new sets of
               | knowledge from the emergent properties of an arbitrary
               | set of rules called a "game"? If we can create an
               | infinite set of arbitrary combinations of rules and
               | states (games), then knowledge should be infinite. Maybe
               | not all knowledge is scientifically applicable, but we
               | have learned a great deal about science and engineering
               | from studying chess. In fact, we are starting to learn
               | more about _learning_ as a process and not as some
               | magical thing that human beings can do, just from
               | studying the best way to make decisions in this totally-
               | contrived and scientifically-useless game.
               | 
               | Taking this a step further, let's look at the animal
               | kingdom. If learning about the intricacies of the mating
               | habits of birds can help an arbitrary bird increase its
               | impact on the future gene pool, is that knowledge not
               | worth something to the bird? To bird society? Are the
               | things we learn about ourselves knowledge? They certainly
               | have utility. Is there any limit to what we can learn
               | about ourselves, about the stochastic process of life? Is
               | life not part of the universe?
               | 
               | Is computer science even knowledge? It seems if we're
               | more directly concerned with the physical nature of the
               | universe, we ought not to care about what the system of a
               | computer actually does; we only need to care about what
               | it is, about its physical structure. Except, that's not
               | actually how we pursue knowledge or science at all.
               | 
               | In my view, Asimov's sentiment can be reduced to a
               | complete tautology: we're at the point where we know
               | almost everything there is to know about the things we
               | think we can know.
        
               | ndsipa_pomu wrote:
               | There aren't an infinite number of chess positions, moves
               | or even games, so that's not a good example. It's
               | possible to come up with a number game that could have
               | infinite possibilities, but that doesn't mean that the
               | universe could even contain some of the options within
               | our visibility. Our current state of knowledge about the
               | universe strongly suggests that there's a finite limit to
               | the available knowledge (I.e. between the Planck scale
               | and the visible horizon due to the speed of light).
               | 
               | A googolplex looks to be the first number we've found
               | that is too big to be contained in our universe.
        
               | fnovd wrote:
               | You're right--chess is a decidedly finite game. Even so,
               | we have not "solved" this simple, finite game--not even
               | close! If we're not close to solving such a trivial game,
               | how can we be close to the limit of the knowledge of the
               | universe?
               | 
               | A googolplex is "too big to be contained" in our universe
               | yet here we are talking about it. We can perform
               | operations on this number, compare it to other numbers,
               | and even come up with mathematical proofs showing that
               | it's too big to exist. There are an infinite amount of
               | numbers larger than a googolplex and we could have an
               | infinite amount of conversations about them. The material
               | limit of the universe does not limit our ability to
               | create information, to learn things.
               | 
               | There isn't enough space in the universe for an infinite
               | series, either, yet we can (and do) still use them, we
               | reason about them, we learn from them. We can even reduce
               | some infinite series to a finite number. The material
               | bounds of the universe are not a limit of knowledge.
        
               | ndsipa_pomu wrote:
               | I think you're mistaking the map for the territory. A
               | googolplex is a representation of a number, but not the
               | number itself, although it's simple enough that we can
               | get away with using the representation as it's obvious
               | what the form of the number would be. However a number
               | such as tree(3) is unimaginably bigger, but more
               | crucially, we don't know anything about the form of the
               | number beyond its size and we can't sensibly use it in
               | calculations.
               | 
               | Now both of those numbers are finite and we could try to
               | figure out how many numbers we could "describe" such as
               | tree(3), but that would be limited by the number of
               | symbols (i.e numbers, operators, letters and words) that
               | could be used (i.e we would have less than a googolplex
               | different numbers that could be represented using maths,
               | language and thought). That's still going to be a finite
               | number.
        
         | jgeada wrote:
         | I think you missed the entire point of the essay. You should
         | actually read it.
         | 
         | Science is incremental, revolutions in science mostly just
         | adjust the edges of our knowledge, at more and more extreme
         | corner cases (extreme high energies, extreme high/low
         | temperatures, etc). No, we absolutely don't know it all, but as
         | always, new knowledge and theories will only affect those
         | edges, and refine the predictions for the nth+1 decimal place.
         | 
         | By and by, the science that directly affects our daily lives
         | has remained stable and most progress has been in the
         | engineering to put all this knowledge to practical and
         | efficient use.
        
           | mistermann wrote:
           | I like how in English one can make it appear if one is
           | skilfully and logically dismissing an argument without
           | actually even trying to. I don't presume that this was your
           | intent, but the phenomenon is quite interesting and I quite
           | confidently believe _dangerous_ (in that it contributes to
           | some degree to inaccurate models in the minds of those who
           | ingest such text, and those models are what drive action,
           | much of which is harmful...which is easy to see in {choose
           | your outgroup}, but far less easy to see in one 's ingroup).
        
         | glitchc wrote:
         | Well, we can start by asserting that we do not know everything.
         | We can assert this from the contra positive: If we did know
         | everything, then we would have an acceptable solution to all of
         | our problems. Since we do not, it stands to reason that we
         | don't know everything.
         | 
         | Once we accept that the assertion is valid, then it raises the
         | likelihood that our understanding of the world is incomplete in
         | some way. And furthermore is incomplete to different degrees
         | along multiple dimensions of knowledge. Whether incomplete or
         | wrong is a word choice, it doesn't change what's missing. So
         | with each new discovery, our understanding improves, our
         | wrongness decreases.
        
         | kubanczyk wrote:
         | > The gap between what we know and what is true might have
         | decreased immensely, but it is still infinite.
         | 
         | The other two commenters have taken different approaches to
         | infinity, but it seems that your argument doesn't hold even for
         | a plain-as-in-real-numbers infinity.
         | 
         | Being satisfied with finite knowledge gains, I have no hope to
         | achieve 1% of infinity (or any other fraction of infinity).
         | 
         | The universe is infinite in size, another assumption. If I'd
         | fly on vacation to Tenerife, a quantifiable shift of my
         | position by mere thousands of miles would be "zero in relation
         | to infinity". Yet, it's not unimportant for my rest. Talking
         | about infinity doesn't automatically cancel all the finite
         | measurements and bring them to zero.
        
         | cnity wrote:
         | One way to see Asimov's "infinity of wrongness" is perhaps as a
         | fractal. You could view the bulbs in the mandelbrot as being a
         | kind of knowledge, and the "main bulb" occupying the majority
         | of the area belonging to the set as the set of truths known
         | about our universe. The mandelbrot set is infinite in
         | complexity, however its area is finite and bounded!
         | 
         | Or as ironing out the wrinkles on a great big t-shirt, where
         | each wrinkle is sub-wrinkled with smaller wrinkles and so on.
         | We've "ironed out" the biggest wrinkles, there are infinitely
         | more but they are much smaller. We're perhaps over half-way
         | ironed, in a quantitative sense.
        
           | fnovd wrote:
           | I disagree fundamentally. You may as well ask me to imagine
           | Earth as a disc, with multiple rotating spotlights shining
           | down on it and a giant ice wall around the edges. I
           | understand what the image is trying to convey, I simply do
           | not agree that this is the shape of the thing I experience.
        
         | nathan_compton wrote:
         | One might plausibly assert that while the particulars of the
         | universe may be infinite, the fundamental rules which govern
         | the universe are finite and thus at least in principle entirely
         | knowable. While I don't think the 20th century makes an air
         | tight case for the latter, I think it isn't an unreasonable
         | conclusion to draw from 20th Century Physics either.
        
           | ndsipa_pomu wrote:
           | It's surprising that we find ourselves in a universe which
           | does appear to obey certain laws. There's a whole bunch of
           | assumptions made to help us understand how things work and it
           | turns out they're mostly correct. i.e. It's more astounding
           | that we CAN understand the universe and how well maths can
           | act as a model/language to understand it.
        
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