The unbearable slowness of being: Why do we live at 10 bits/s?
cell.com
cell.com
When you look at a Rubik's cube, you don't just pick out specific positions of colored squares relative to each other. You also pick up the fact that it's a Rubik's cube and not a bird or a series of binary digits or English text. If an orange cat lunged at your Rubik's cube while you were studying it, you wouldn't process it as "face 3 has 4 red squares on the first row, then an orange diagonal with sharp claws", you'd process it as "fast moving sharp clawed orange cat attacking cube". Which implies that every time you loom at the cube you also notice that it's still a cube and not any of the millions of other objects you can recognize, adding many more bits of information.
Similarly, when you're typing English text, you're not just encoding information from your brain into English text, you're also deciding that this is the most relevant activity to keep doing at the moment, instead of doing math or going out for a walk. Not to mention the precise mechanical control of your muscles to achieve the requisite movements, which we're having significant trouble programming into a robot.
Since it costs $35.95 to read the article, probably not. Seriously, paywalling of scientific research is obviously wrong.
Agreed!
Here you go: https://arxiv.org/abs/2408.10234
This is a frustrating article.
How? The argument remains exactly the same and we're just discussed counterexamples to the statements of people who obviously don't get it.
And that's while also moving my hands in extremely complex ways to perform the task, looking around my office, listening for threats / wife, observing the breeze from my fan, twiddling my toes on the balance board I don't use...
It's clickbait/ragebait. Well done to the title writer.
Yes, but in order to measure its bitrate accurately you need to tell us whether that compression is gzip, zlib, zip or 7zip. They don't all produce the same results.
If we are going to be utterly ridiculous about this conversation, let's at least be complete.
Ok, but how to count bits for your example with piano? It has 80 keys or so, isn't it? Should we take log2(80)=6.32...? Of if you are working with only part of the keyboard, maybe we should take log2(7)? How many bits per seconds of processing it takes to keep my hand on a keyboard in a right way that was shown by a tutor? How to measure it? Does my experience with a guitar makes it easier? How many bits easier?
Look at a backhoe. It has a few levers and a couple pedals. EXTREMELY simple interface. Each lever and pedal is basically 1 bit for engage/disengage, but the operator has to process orders of magnitude more sensory info to operate it properly. You could use an arduino to control a backhoe, but you'd need quite a powerful computer to know what to tell the arduino to do. This shouldn't surprise anyone. Knowing how to use the tool well is always far more complicated than simply knowing how the tool operates.
It's 1 bit (discriminate red vs. green) but I doubt many here can manage 100 ms, which is what it would take to implement 10 of those decisions per second.
And is 100ms (I struggled to get below 180ms, myself) only the time needed to process, or does that include IO latency?
If it includes IO latency, then is there a buffer?
I guess someone with two boxes handy could set them up next to each other and run two copies of this test to see if their reaction time holds up or if it lengthens?
EDIT: mine suffers greatly on dual wield: 225 -> 320 ms
I meant walking, chewing gum, dribbling a basketball, and avoiding traffic.
Driving stick is a good example, as shifting gears requires conscious thought at first and becomes mostly automated with experience.
Now take someone navigating a social situation with three simultaneous participants, actively listening, coordinating body language, interjecting, responding to questions... and you have a human being operating at a "bitrate" of information that is so many orders of magnitude removed from this bullshit psychometry task as to prompt the question: "what the actual are they talking about".
It's used in theories to explain why you can hear your name in a short sentence in a crowded room and then know what the sentence is. Including one or two words before your name. While if your name wasn't said, no attention is diverted to that sound and the "buffer" contents get dropped without retrieving the information.
EDIT: see appendix A.3 Perception
Then consider something more complex like drawing, you draw way way way more than 10 bits a second.
EDIT: not the expanded bit rate, the optimally compressed bit rate, if that makes sense?
EDIT2: typing at 90 wpm is 1,5 wps, or <10 bps according to Shannon (~1 bit per letter, 5 letters per word)
That’s kind of a cop out - at what point do very quick conscious decisions become “automatic.”
People can type way faster than 90 WPM, we talk about bitrate of the hardware here its the same even if you haven't practiced typing. And typing is still not what our consciousness is made to do, we have way higher bitrate than that when doing more native tasks such as running in the woods. You can't run in the woods without consciously thinking about each step and deciding where to put your foot next to not hurt your ankle and not collide with trees, that has a massive bitrate.
Before you say it does not require decisions - you can have friendly fire on.
IO is the problem not processing power.
I come in around 250 ms on the latency, which means that to get up to 10 bps I'd need to actually be able to discriminate between 6 choices each time.
To get up to 100 bps?
If that sounds ridiculous to you, you are beginning to get it. Every single brain cell works on electric potential (a continous value). Not a single one of them can be said to be in the "zero" or "one" state (a discrete value).
If you send an analog signal over a wire and the receiver on the other end can distinguish between 1024 different voltages reliably, then you sent 10 bits of information. Even though you sent neither a 0 nor a 1, but an analog voltage.
It's about the "information" as an abstract concept, not about how that information is encoded as data sent over some medium. I can send you the same thing thousands of times. I would have sent you lots of data, but 1000 copies of the same thing still only contains as much information as a single copy does.
> Why does the brain need billions of neurons to process 10 bits/s?
Maybe the article is being intentionally disingenuous here? The brain is definitely not processing 10 bits/s, maybe a small part of it is.
I'd also say that you can make very complicated problems with only 10 bits of input (e.g. calculating busy-beaver of N), so "processing X bits" where X is a small value is no guarantee that this should be doable with a low amount of processing anyway.
Nobody would say that the database can only process 10 bits per second. The query just happened to ask for a very simplified answer.
Still, I get the feeling that the apparent bit rate of the conscious output is not the right metric to be measuring. There are so many ways in which the bit rate you're measuring could have been bottle-necked by factors outside of the mind, such as the speed at which you can move your tongue to articulate language, or a cultural expectation that prefers compact answers over chain-of-thought babbles. The mind also leaks a lot of information, both consciously and unconsciously, through side channels such as facial expression, gestures, and even variations in the rate of output itself.
My theory is that consciousness is super complicated and brain has barely enough juice to crank out any of it.
Conscious field of vision is about 2% of total field of vision and we observe the world by constantly swiping it with this 2%. This way we reuse both neural circuitry of our brains and also training data that would otherwise necessarily be spread across larger size of neural network if our conscious field of vision was larger.
So it short, conscious output is so small because we are dumb and short lived.
I also wouldn't say that there's a lot of information in the side channels. Properly compressed it's probably less than engaged conscious output.
I know the kind you mean though, reducing external factors(like air), so you can isolate gravity as a force unrelated to density by finding out in a vacuum a feather and a metal ball fall with the same speed.
(As for the paper I have not yet made up my mind.)
Reductionism is setting everything but one thing aside and trying to figure out that one thing. Bringing in the second thing in only after you fail and trying again.
Calling actions/thoughts that follow a concrete list of logical rules/algorithms "animal mode" is deeply anti-human.
deeply anti-human
What's wrong with that, just look at us going, globally. Any pro-human thoughts, really? Never understood this clinging to the horribly limited nature of humanity only because it has some relatively nice pockets (which usually correlate with deep thought and negatively with the lack thereof).
If we use your example, which is that of identifying an object, we may simply ask the entropy of what the distribution of possible objects-to-be-identified is at t=0, prior to any analysis. Saying we can resolve 10 bits of this entropy per second is equivalent to saying that we can identify one object from a uniform distribution of 1024 per second. Let's suppose this is a low estimate by several orders of magnitude, and that it's really one from a billion objects instead that you can identify per second. Then this would still only be about 30 bits/sec.
None of this changes the main thesis of the paper, which is that this is much lower than the 10⁹ bits/sec our sensory systems transmit.
Sure, some parts of the brain don't receive all that detail, but that's necessary for abstraction. If you pumped all the sensory data everywhere, the brain would get overwhelmed for no reason.
Take color: suppose the average person has 16 baseline colors memorized, and then a few variations of each: each one can be bright or dark, saturated or pastel. That would be about 6 bits for color. If you have an eye for color or you're an artist you may have some additional degrees of freedom. Hell, a computer using RGB can only represent 24 bits worth of color, maximum. I am going to suggest this stuff gets cognized less than 10 bits worth for the average person; let's just say 10.
Now, of course, people can memorize more than one color. If colors are independently distributed uniformly at random, then processing N colors requires 10N bits. But of course they aren't, so the entropy is less. But again, let's just say they were. So how many color combinations can you process per second? I would say it's a bit of a challenge to memorize a set of 10 arbitrary drawn colors shown for a second. Most people couldn't continuously do that at a rate of 10 colors per second. That would be 100 bits/sec of info.
The point is that you really don't perceive all that much. You show the average person a Rubik's cube, there is no way they're going to remember the exact pattern of colors that they saw, unless the cube were solved or something. They will perceive it as "multicolored" and that's about it.
Adding behavior, texture, etc doesn't change this picture. None of this stuff is even close to 10^9 bits of entropy, which would be 2^1,000,000,000 different equally likely possibilities.
How many bits of actual decision is going on here, as compared to the period of time that decision applies to?
For example, if a person decided once per second whether or not to go for a walk, that could be 1 bit per second. But if that person is constantly transitioning back and forth between walking and not-walking, we could consider their behavior pathological. Instead, for most people, the information density of these decisions is quite low, i.e. the per-second decision bits are very compressible.
Personally, I only decide whether to go for a walk (or not) _at most_ once every few minutes. Even if we add in bits for "where" and "precisely when" and "how long", I think we're still at just a small fraction of 1 bit per second.
Consciously. Subconsciously much more is going on.
When I'm reading, that's roughly 2000 bits/second, but I am engaging it with model-making systems that can completely enrapture me.
I/O is not the same as computation; conscious computation is not the same as all computation.
A bit dumb, but maybe relevant comparison might be asking why can an Apple Watch stay on for a single day only on a charge, while Garmin can do 2 weeks/a month? Because one is a general purpose computer, while the other is an embedded software that can only ever do that few things it is preprogrammed to do.
Is about having a ton of mini specific "computers" vs. the very generic conscience.
For example all the balancing, background hearing, hungry, thirsty , and so on are very specific zones in the brain. While our conscient mind is doing...well, whatever we like in a very generic way, basically keeping the joy of living on.
Personally, I only decide whether to go for a walk (or not) _at most_ once every few minutes.
Just because usually the decision is 'keep the current course' that doesn't mean no decision has been made.And yet, if I walked into your office and shouted your name, you would have less than a second of reaction time, indicating that you are processing all sound around you and deciding whether to get up and talk to someone pretty much continuously.
Also not so conscious context like „I am writing a reply on HN not on Reddit - making obvious silly pun about cats is not going to make upvotes - making quasi intellectual comment about subconscious processing should earn me some”.
But stuff I am good at? I don’t see it at all. A terminal? I never have any truly tangible conscious recollection of serious coding.
It might be the same for people good at Rubik’s Cube.
Look, I like the sentence. I like it so much I might steal it. But, that said I think analogising what the brain does to "general purpose computer" is a bit awry because we can invent algorithms, and given a process we can implement algorithms but I still tend to think there is something ineffable about thought/cognition which is NOT general purpose computation. It's a heuristic. I dunno what I think.
Deeper in our brain is reasoning about causality. But even that is more of an input to our reactions and emotions than it is as a consciously accessible function, and it too is often wrong.
As you said, it's a heuristic. We certainly can't solve the halting problem with brain magic.
That said, with enough willpower why couldn't you implement a universal Turing machine in your brain? I think you would need external memory (a tape) but that's not a problem.
Meaning that while you are solving the rubik‘s cube, your brain has the capacity of switching into one of 2^10=1024 possible next states, which might fire nerve impulses for the body and also come with a new set of 1024 next states?
When focusing on the cube about 20 or 30 of the next states could be related to the cube, while the rest is concerned with bodily sensations, other thoughts etc.
What if learning something well meant that less states need to be reserved for the task/cube at hand because the decision tree going forward has become more efficiently packed, so more states are open for something else.
That might be correct but as far as I know the brain has circuits that fire periodically with a certain frequency (what brain waves are about). If such frequencies steer some kind of gate than you do have a kind of digital logic with 1 being where the brain waves cross the zero line.
What makes you think that this is the case? If someone touches you from behind do you immediately fall over dead from sensory overload? Do you react as if you where punched in the gut? Do you look over your shoulder to check who it is? Or do you fail to notice it until they break a bone? There is a significant amount of inputs where the reactions are not just zero or one but happen on a scale, your digital 1 or zero is more likely to be a 1.0 or 0.0 of a numeric type with unknown bit depth, lets go with 80bit since x87 is just the worst and completely blows the 10bit claim.
My point was not that reactions/feelings etc are switched by a signal being 1 or 0, just that sort-of-digital signals (line "on" or "off") are possible within the brain.
My idea about the instruction-set I was talking about earlier was not that it immediately switches behaviours on or off, but that it selects the next, slightly different or deeper "brain circuits / loops" to get activated and shift the whole apparatus towards finally acting out a certain behaviour.
But, as you point out, that is all unfounded speculation.
If you received 10 bits once a second describing all of that, good luck, you probably won't survive the next 15 minutes.
This is an extrinsic definition of "information" which is task relative, and has little to do with any intrinsic processing rate (if such a thing can even be defined for the imagination).
The question of why does biological hardware capable of very high "intrinsic rates" deliver problem solving at "very low extrinsic rates" seems quite trivial. Its even a non-sequitur to compare them: properties of the parts are not properties of wholes. "Why does a gas move at 1 m/s, when its molecules move at 1000s m/s..."
All the 'intrinsic processing' of intelligence is concerned with deploying a very large array of cognitive skills (imagination, coordination, planning, etc.) that are fully general. Any given task has requires all of those top be in operation, and so we expect a much slower rate of 'extrinsic information processing'.
Consider how foolish the paper is to compare the intrinsic processing of a wifi network with the extrinsic task-specific processing of a human: it is likewise the case that if we set a computer the challenge of coordinating the solution of a task (eg., involving several LLMs) across a network, it's task-specific performance would drop off a cliff -- having a much slower 'solution rate' than 10bit/second.
These 'task-specific bits' represent a vast amount of processing work to solve a problem. And are at least as much to do with the problem, than the system solving it.
It seems to me all this paper does is define tasks in a highly abstract way that imposes a uniform cost to process '1 bit of task information'. Do the same for computers, and you'd likewise find tiny bitrates. The rate at which a problem is solved is 'one part of that problem per second' for a suitable definiton of 'part'
Ie, the amount of input and processing required to produce the "right" 10 bits might be far larger than 10 bits. Another obvious example is chess. The amount of bits conveyed by each move is small but, if you want to make the right move, you should probably put some deeper thought into it.
Humans are essentially organisms that collect and filter information, boil it down to a condensed soup of understanding, and emit a light sprinkle of carefully chosen bits intended to reshape the future towards their desires.
Or another way of saying it is, the answer was right there all along, the hard part was filtering all the non-answer out.
For example: lighting strucks a tree, a fire starts. Man is scared but that night is very cold and near the tree is warmer. This happens a few times, und a branch falls and it is collected , incidentally is thrown on another pile of wood , starts burning -> idea of fire is formulated and since them man keeps warm.
Or: man finds shiny things in a river bed, collects them, one day the whole shack burns from lighting, and discovers that the shiny thigs are now in a different shape -> metal working is born.
Seems like this 10 number comes out of the kind of research where the objective isn’t to find the truth, but to come up with an answer that is headline grabbing. It’s the scientific equivalent of clickbait.
Too bad people fall for it.
I'm glad you thought about it too, but to assume that the authors are just silly and don't understand the problem space is really not a good contribution to conversation.
The parent comment is harshly criticizing (fairly, in my view) a paper, and not the authors. Smart people can write foolish things (ask me how I know). It’s good, actually, to call out foolishness, especially in a concrete way as the parent comment does. We do ourselves no favors by being unkind to each other. But we also do ourselves no favors by being unnecessarily kind to bad work. It’s important to keep perspective.
"It seems to me all this paper does is define tasks in a highly abstract way that imposes a uniform cost to process '1 bit of task information'."
The paper uses this number and acknowledges that it is not the only possible measure, and explains why they use this number and how it was derived. It is just the start of the paper, not "all this paper does." The paper primarily focuses on counterarguments to this number to then address the primary question of the relationship between the inner and outer brain.
A few questions it poses: does the superior colliculus contribute to a bottom-up "saliency map" to ultimately direct the attentional bottleneck in cognition? Why does the brain use the same neural circuitry for both rapid/parallel sensory processing and slow/serial cognition? This is not even how other parts of the body work (e.g., type I and II muscle fibers). Perhaps the associated routing machinery between input and output accounts for the billions of neurons? Maybe, like the visual cortex, the prefrontal cortex has a fine-grained organization of thousands of small modules each dedicated to a specific microtask?
We do ourselves the most favors by reading research with some skepticism, and asking questions. We do ourselves no favors by writing comments after only reading an abstract (please, tell me if I'm wrong). I only point out that discounting research so blithely does nothing for improving research. This was a perspective paper - an author asking questions to better understand a possible issue and guide research. And maybe the commenter is right, maybe this is the wrong focus, but I do not believe it was truly considered.
It's nothing more than saying: we know that wires have electrons, and are made of metal, and can support a transfer rate of 1Gbp/s -- and we know that an LLM takes 1 min to answer "Yes" to a postgraduate physics question -- so how/why does the current in the wire at 10^9 bit/s second, support this 1bit/min mechanism?
It's extremely wrong-headed. So much so the paper even makes the absurd claim that Musk's neurallink need not have any high bandwith capabilities because a "telephone" (to quote) would be sufficient.
This is like saying an internet-connected server, hosting an LLM, need not have a high bandwidth RAM, because it only needs to transmit 1bit/s to answer the "yes" question.
In my view there isn't much worthwhile to say under this framing of the problem -- it's a pseudoscientific framing --- as is quite a lot of 'research' that employs 'information' in this way, a red flag for the production of pseudoscience by computer scientists.
Their implied premise is: "computer science is the be-all and end-all of analysis, and of what one needs to know, and so reality must be as we conceive it". Thus they employ an abuse of abstraction to "prove" this fact: reduce everything down to its most abstract level, so that one speaks in "bits" and then equivocate in semantically-weighty ways between these "bits", and pretend not to be doing so. This ends with pythagorean levels of mysticism.
But, I will counter your comparison regarding LLMs and the transfer rate of wires. We, humans, have wired up the LLM ourselves. Evolution wired our body/brain and we do not know all of the filters and connections that exist in the transfer and processing of data. There is so much about the body we do not know. With LLMs, we've created every part so it doesn't really compare.
And to say that fields of science should not consider the knowledge gleaned from other fields is preposterous. I read about a new discovery in Math almost every few months in which a person from a different field brought in different techniques and looked at a problem from a new angle. Maybe this framing of the problem is silly in the end, or maybe it is just what someone needs to read somewhere to spark an idea. It doesn't hurt to think about it.
Maybe this is just a perception thing. Sure, you can only really keep up one stream of thought, visualization or inner dialogue (whatever you want to call it) at a time, but perhaps that's because we learn all our lives that direct communication is a one-channel, linear thing--speaking and listening focused on one topic at a time. Our brain does plenty of thinking in the background that leads to "a-ha!" moments even when the direct focus of our thoughts isn't on that topic. What if the mind could maintain multiple threads of thoughts at once, but our language coerces our thought patterns into being linear and non-concurrent?
We routinely communicate with multiple people at once and also communicate with the same persons in multiple threads of conversations.
Of cause this means that we switch between those tasks and do not really do them in parallel. At most we listen to one person, answer a second via speech, a third via text while thinking about what to respond to a fourth
We just switch our focus of attention quite fast
Buddhist scholars insist that while we can have multiple threads of attention in our awareness, like strings with pearls of experience/thoughts we can only actually hold one little pearl of information from that stream in our attention at a time, and that we flit between them quite rapidly.
Personally, I sort of agree, but I notice that there seems to be a time-compression thing happening where the pearl delivered to attention can contain a compressed summary of continuous perception. This seems to work for 2 things at once in awareness. When you start monitoring 3+ streams, there are gaps. And even maintaining the 2 streams continuously is exhausting so the mind tends to relax a little and leave gaps on a normal basis, but it seems like it can monitor dual feeds when its particularly important.
My understanding is that neuroscience largely seems to agree with the above.
(Actually, I'll note that the USUAL mode of being doesn't even monitor one stream continuously. A lot of the weird effects (and deeply interesting ones!) they talk about in meditative arts seem to pop up when you progress to being able to hold truly continuous attention.)
That said, your understanding is largely supported by our current understanding of consciousness, attention, and perception. The attention mechanism doesn't handle parallel processing well—but can operate "multi-threaded", where it juggles several foci at once (with some obvious cost to switching between them). But I think its a mistake to assume that decision making has to be done within this attention context. While we may only be aware of a single thread at any given time, the brain is doing a lot of parallel processing. We can only focus our attention on a single cognitive task, but that doesn't mean we're not actively performing many others.
"Cognitive science" vs "neuroscience" as a concept is just how we decided to slice the problem up for academia.
Next time, maybe cut the first paragraph ;)
We may be not a single mind, but a bunch of minds. It just happens that the mind that “you” are reads this and has written the above comment, cause it’s of that kind (just like “all biological beings in this thread happen to be humans” type of a filter). Other minds can live completely different lives, just inside the same skull. And share emotions and thoughts with you sometimes from their prison.
This “aware” part is pretty mysterious, because the physical mind could operate without it perfectly. But for some reason, the space containing a mind experiences this awareness thing.
It's one of the core things missing from our current AI path. Even if the LLMs reach 100% parity on human computational power, we humans are still acting as the ghost-in-the-machine, mediating and directing said computation.
If the latter, why do you think it can not? It's a configuration of particles that will evolve by physical means (under materialism ofc). It shouldn't require anything special like any inanimate object doesn't require anything to continue physically existing, the only difference being just how less complex its reactions are. And even that is subjective and anthropecentric, cause laws of nature don't care more about us than e.g. about a rock, they just work.
LLMs can handle everything downstream from that beautifully. But until we have some way to hand them a conscious experience, they'll need direction from an entity that has one.
"... neurons that fire together wire together" (essentially)
Its the same thing with a game running on a computer. You can point to different systems for specific aspects of it. But you can't show me where, either in software or hardware, the experience of the game lives.
Does anyone else have this happen? I don't think my driving is suffering, but it's hard to really honestly say?
First, I don't think the "unconscious" part is a single process, but myriad processes, and I'd bet they wax and wane.
Second, the "conscious" part is the part that can reason about itself and think abstractly. I think it would be correct to say it's doing higher level computations. The important part is that this is more costly - it's not optimized because it has to be flexible, so it would make sense that it's resting as often as possible.
Looks like ARM got it right with its big.LITTLE architecture. :)
And they stay in the brain even when not used. You can ride a bike or play a piano years after stopping.
I had a workmate at a gamedev place I worked (so lots of deep technical challenges) who apparently regularly missed the motorway exit for work because he was thinking about what he was working on.
I guess the point is even if the distraction is 100% internal you should still do your best to pull yourself out and get your focus back on the road.
>Our brain does plenty of thinking in the background that leads to "a-ha!" moments even
That's not "in the background". That's the real you, your real mind. That's the foreground. But, if your brain malfunctions as many do, then the monologue shows up and crowds out everything. Sometimes it is apparently loud enough that it even prevents those "a-ha!" moments.
>but our language coerces our thought patterns into being linear and non-concurrent?
The language should just be discarded. What you want is an internal silence.
This seems to suggest that any bottleneck in conscious attention is not an inherent limitation of an animal brain but rather a consensus mechanism we've developed to keep our chain of experience coherent. If we get rid of the constraint that all of our external communication channels need to present the same narrative, we can seemingly process more information even when it requires being a conscious center of attention.
Heck, I can type way faster than 10 bits per second, even after gzipping the output.
And when I consider the amount of sensory information that I consciously process (not that comes in, but that I conceptually analyze), it's got to be way higher.
10 bits/s doesn't pass the smell test.
Going from APM and/or image wiggling to "bits per second" is .... hilariously reductive and I struggle to consider this response to be woefully incomplete at convincing this reader.
And yeah, my immediate response to reading the title was "where the hell are they getting that number", so I have gone and looked and am unsatisfied.
* when whole sentences or paragraphs are considered.
If someone types English for a minute at 120WPM then they’ll have produced about 600 bits of information.
Are you saying we should consider the rate in a smaller window of time? Or we should consider the rate when the typist is producing a series of unrelated English words that don’t form a coherent sentence?
Take for example a human typist working from a hand-written manuscript. An advanced typist produces 120 words per minute. If each word is taken as 5 characters, this typing speed corresponds to 10 keystrokes a second. How many bits of information does that represent? One is tempted to count the keys on the keyboard and take the logarithm to get the entropy per character, but that is a huge overestimate. Imagine that after reading the start of this paragraph you are asked what will be the next let…
English contains orderly internal structures that make the character stream highly predictable. In fact, the entropy of English is only ∼ 1 bit per character [1]. Expert typists rely on all this redundancy: if forced to type a random character sequence, their speed drops precipitously.
[1] Shannon CE. Prediction and Entropy of Printed English. Bell System Technical Journal. 1951;30(1):50-64.
Entropy is a measure of the source, not output.
Where did you get that number from? How would you represent a letter using 1 bit?
In short, you show someone an English text cut off at an arbitrary point and ask them to predict which letter comes next. Based on how successful they are, you can calculate the information content of the text. The result from this experiment was approximately one bit per letter.
Representing it is not the concern of the experiment. I don’t think anyone has a scheme that can do this. But it’s straightforward enough in theory. You create a compressor which contains a simulated human English speaker. At each point, ask the simulation to rank all the letters that might come next, in order. Emit the rank of the actual next letter into your compressed data. To decompress, run the same procedure, but apply the ranks you read from the data stream to the simulation’s predictions. If your simulation is deterministic, this will produce output matching the compressor’s input.
I.e., The string "I'v_" provides way more context than "con_" because you're much more likely to get I'm typing "I've" instead of "contraception"
That seems to disprove the idea that a letter is a bit.
Also the fact that there are more than two letters also indicate more than one bit, though I wouldn't want to even start to guess the encoding scheme of the brain
> Also the fact that there are more than two letters also indicate more than one bit
This seems to deny the possibility of data compression, which I hope you’d reconsider, given that this message has probably been compressed and decompressed several times before it gets to you.
Anyway, it should be easy to see that the number of bits per symbol isn’t tied to the number of symbols when there’s knowledge about the structure of the data. Start with the case where there are 256 symbols. That implies eight bits per symbol. Now take this comment, encode it as ASCII, and run it through gzip. The result is less than 8 bits per symbol.
For a contrived example, consider a case where a language has three symbols, A, B, and C. In this language, A appears with a frequency of 999,999,998 per billion. B and C each appear with a frequency of one in a billion. Now, take some text from this language and apply a basic run-length encoding to it. You’ll end up with something like 32 bits per billion letters on average (around 30 bits to encode a typical run length of approximately 1 billion, and 2 bits to encode which letter is in the run), which is way less than one bit per letter.
Yes the entropy of the next letter always depends on the context. One bit per letter is just an average for all kinds of contexts.
> Also the fact that there are more than two letters also indicate more than one bit
Our alphabet is simply not the most efficient way of encoding information. It takes about 5 bits to encode 26 letters, space, comma and period. Even simple algorithms like Huffman or LZ77 only require just 3 bits per letter. Current state-of-the-art algorithms compress the English Wikipedia using a mere 0.8 bits per character: https://www.mattmahoney.net/dc/text.html
If you substitute "token", for "letter", what you have described is exactly what a modern LLM does, out of the box. llama.cpp even has a setting, "show logits", which emits the probability of each token (sadly, only of the text it outputs, not the text it ingests - oh well).
I don't think anyone actually uses this as a text compressor for reasons of practicality. But it's no longer a theoretical thought experiment - it's possible today, on a laptop. Certainly you can experimentally verify Shannon's result, if you believe that LLMs are a sufficiently high fidelity model of English (you should - it takes multiple sentences before it's possible to sniff that text is LLM generated, a piece of information worth a single bit).
Oh look, Fabrice Bellard (who else?) already did it: https://bellard.org/ts_zip/ and you may note that indeed, it achieves a compression ratio of just north of 1 bit per byte, using a very small language model.
As an encyclopedia, it has an intentionally limited and factual way of describing things, which lacks a lot of important parts of language like poetry, allegory, metaphor, slang, regional dialects, and so on.
The fact that it can be compressed down so much probably just means it has a ton of repetition.
Ergo, 10 bits per second just doesn't hold up. It's an interesting coincidence that a reasonably fast typing speed hits that rate, but humans routinely operate on language at multiples of it.
> Quick, think of a thing... Now I’ll guess that thing by asking you yes/no questions.” The game ‘Twenty Questions’ has been popular for centuries1as a thinking challenge. If the questions are properly designed, each will reveal 1 bit of information about the mystery thing. If the guesser wins routinely, this suggests that the thinker can access about 220≈ 1 million possible items in the few seconds allotted. So the speed of thinking – with no constraints imposed – corresponds to 20 bits of information over a few seconds: a rate of 10 bits per second or less.
Meanwhile the machinery in understanding that it is a game, processing the audio input of the question, producing the output of the answer is all taken for granted.
Obscure medical terms (phlebotomy), names of uncommonly-known stars (Fomalhaut), obscure data structures (cache-oblivious lookahead arrays), mathematical constants (Feigenbaum's constants)... The list goes on and on!
The point I'm trying to make is that most people who play Twenty Questions aren't trying to maximize the number of bits per second in their answer. They're actually trying to play semi-cooperatively. The fun part of Twenty Questions is when the other person guesses your word with as few questions remaining as possible. Having them get all the way to 20 and then you tell them "no you were way off to guess toothache, it was actually temporomandibular joint dysfunction" makes you look rather unsporting!
Thus, since I think we can expect people who play Twenty Questions to actually try to choose a word they know the other person can guess within the space allowed, we can reasonably conclude that using the game as a way to establish some sort of rough constraint on the speed of thinking (in bits per second) is way off. In fact, I know from my own experience playing the game that I will think of and discard many words in a short time as I try to find one that will be in the sweet spot of challenge for the other person to guess.
No wonder they came up with such an obviously nonsensical answer in the end.
Every time I play this game, I can only think of one thing: https://t3.ftcdn.net/jpg/02/07/37/42/500_F_207374213_kNgoMel...
So I guess that means I can only think at 1 bit per second.
Have they not seen a football match? The brain controls 600 or so muscles in a rapid manner. That alone must be a lot of bits per second, certainly far better than computer controlled robots.
Re
>Why does the brain need billions of neurons to process 10 bits/s?
Tesla's FSD cars have a lot of processing power but still struggle not to drive into fire trucks. You probably need a lot.
This is... not a recipe for a successful discussion between people who have read the paper.
A plea to reason, that is probably not outside the posting guidelines, but is certainly in a gray area :-)
As to being in a "gray area", have you read the posting guidelines? ;-)
I'm pretty sure it says we shouldn't say things like "read the article" or "you haven't read the article, have you?" in our comments.
Anyway, I'm laughing at this community (myself included) and the fact that your innocent and well-intentioned comment needs to be said here. And it did and does, my friend!
It's a fascinating paper and something that I have been interested in since before [0] and ties in to a strand of work in my PhD research. Also see for example [1].
[0] Stevens, M. Sensory Ecology, Behaviour, and Evolution, OUP Oxford, 2013, ISBN 9780199601783, LCCN 2012554461
[1] Coupé, Christophe and Oh, Yoon Mi and Dediu, Dan and Pellegrino, François Different languages, similar encoding efficiency: Comparable information rates across the human communicative niche, American Association for the Advancement of Science (AAAS), 2019-09, Science Advances, volume 5, report/number 9, ISSN 2375-2548, doi:10.1126/sciadv.aaw2594
The article is not even wrong imo, it is non-sense. Eg when we speak we convey much more information than just with the words we say. We communicate "information" using intonation, changing the rate of the speech, body language etc. Statements like "10 bits per seconds" are ridiculous clickbaits, and cognitive scientists should study cognition in more ecologically valid settings if they want to make any sense.
This is why enlightenment cures you of your curiosity.
On a serious note, enlightenment only cures us of our selfish curiosity, i.e. any action which causes harm to others. The Way requires us to harmonize with universal compassion, so there is take and give (especially with regard to our required sustenance), but we definitely lose our propensity to experiment with our power at the expense of others. No, we are to increase our curiosity in how we can better help others, help being the cornerstone of compassion.
Our bodies' systems are biochemical wetware that will never be aptly described using a boolean basis. That is one of the primary problems of society's obsessions with classical notions of gender.
No one is male OR female. We are, every single one of us, a combination of male and female hormones. The more "male" a person is is the result of that balance favoring the male hormones; and vice versa. What humanity is now struggling with is that there are plenty of folks with lots of both or little of either and all kinds of combinations.
Of course, my not being a biochemist means my categorization of hormones into "male" and "female" is, itself, likely to be a poorly booleanized representation of their natures.
We are much more akin to Boltzmann's statistical mechanics description of reality, than to digital logic's boolean description.
What you go on to discuss is sex, and sexual dimorphism, which is a remarkably robust way of classification. The "classical" notions of gender (tbh, "classical" doesn't make much sense here) as sex based is fairly reasonable all things considered. Consider the arguments presented in this essay [0]. That, however, doesn't really mean much for how we should treaty people in public who desire to express their gender in different ways, which is, of course, respecting of their dignity and desires, in most cases.
Yeah, what I mean by classical would boil down to just genitalia, which doesn't really hold up in how we must respect the person and how they feel and choose to express themselves. Yes, so long as their expressions are not harming others, then we must respect their human right to choose who they are.
I've got to give a huge hat tip to Suzi (Eddie) Izzard, who -- beyond their being just a brilliant comic and generally good human being -- taught me and my fam about how the spectrum of human configuration is way more complex than just male and female.
Cheers, friend.
Like even things we talk about regularly like touch and space is vague in the details. Is it still touching if the repulsive force of electron to electron is keeping nucleus apart? Where is empty space begin and an atom end? Is it after the electron shell? Outside of it's repulsive force? Some hybrid value?
Yeah, those are great questions, for sure.
I can always be awestruckdumb by the understanding that we are all mostly space inhabited by fields, our littlest bits vibrating at mindblowing speeds.
Also remember that putting a topic under mathematical form or mere layman prose is also a spectral arbitrary categorization.
Even that is a very smooth view of humanity as if was all going through more or less the same mindset.
Rest assured that most of humanity don’t conceive their life experience according to a scientific measure of information units.
However, "bits" is just a quantity of information in a certain base. We could discuss it in "nits" if you prefer. The point is that information per se remains real even if the specific representation is based on some assumption of digital computing.
The rest of your comment is unfortunately out of scope of this article although it deserves some discussion on its own merit.
Is someone’s DNA consistent throughout their body? Y/N Does someone have any chromosomal anomalies? Y/N etc
Similarly it’s very possible for a girl to suffer from abnormally low testosterone levels which doesn’t fit with how the public thinks of it as a gendered hormone. During puberty it normally spikes in both girls and boys. From a range of (2.5 - 10) in prepubescents, the typical range in puberty for boys is much higher (100 - 970) vs (15 - 38) but that doesn’t make it a male hormone just a pathway used differently.
Take the number of distinct possible configurations a system can be in (accounting for statistical uncertainty/biases if needed), take the base 2 logarithm of that number, and you have the bits of information in the system. This can be applied to basically anything, biological or otherwise.
Sounds like the statistics in the papers from the social "sciences".
"There's lies, damned lies, and statistics." --Unknown
I don't think you're going to be able to count the "number of distinct possible configurations" of an even moderately complex living system.
Unless entropy is a damned lie. Which I'm not saying it isn't, but claiming such a thing is a pretty strong claim. Possibly one of the strongest claims you can make in physics (which is why it's associated with cranks).
I'd expect some perpetual motion machines after overturning such a principle.
But I do agree you need to be careful defining the scope of microstates and macro states.
Easy for an isolated system. Human body is 6000 billion cells, each of them has many possible configurations, most of them share and process informations. I respectfully doubt there’s much to do with bits outside of a tiny bit if flesh in a petri dish.
Take whatever that mind-bogglingly huge number is, take the logarithm base 2, there you go, that's how many bits you need.
I just don’t see how that makes a practical sense in the context of the article. Doing a full "scan" of a tiny biological material to study it, ok. Doing a full scan of "our body" as MrMcCall describe (and reject it)? I don’t think it’s possible in a near future. I totally agree with Asraelite in theory but don’t think that will be apply in reality.
All physical systems are described on a base-2 basis using bits, or shannon entropy.
nothing to do with digital logic in this context
and compressed down to about 10 bits per second
Sounds like digital compression from where I sit, friend.Are you using an information theory that is based upon something different from Shannon's?
It is more like the way it is used in information theory. The number of bits is log2 of the number of states that can be represented, and it doesn't have to be an integer. For example, with 10 bits of information, we can distinguish between 1024 different states, it can be 1024 colors for instance, or 1024 genders if you wish, it doesn't matter, the important part is that there are 1024 boxes to put things in, no matter what they are. Of course, it doesn't mean that only 1024 colors exist in the universe, there are an infinity of them, but with 10 bits, you can only distinguish between 1024 of them. If you want more, you need more bits, if you can do with less, you need less.
By the article results, it means your "inner brain" can process one color with 1024 nuances per second, or 2 independent colors with 16 nuances each per second. If the colors are not independent, it can process more, because, if, say, you know that the two color are highly contrasting, you don't have to allocate "boxes" for noncontrasting colors, may free some boxes for more nuances, so, you may, for instance, process two contrasting colors with 100 nuances each with these 10 bits.
(By male hormone I'm assuming you mean testosterone, and by female hormone I assume you mean oestrogen.) i in fact If being "more male" came from having more testosterone (and vice versa), then logically when children go through puberty and develop into adults, they would become "more" male or "more" female.
As adults become elderly and naturally produce less sex-associated hormones, they would become "less" male or female.
(Fetuses do not all begin in the womb as female, that's a common misunderstanding. We start off physically undifferentiated, and develop along a genetically predetermined pathway as we grow. Some animals use temperature or other environmental triggers to pick, humans use genes.)
Would that mean a male bodybuilder who injects testosterone is more male than a man that doesn't? His phenotype may become visibly more masculine, but that doesn't change his sex at all. Same for a female bodybuilder that injects testosterone - she may develop stereotypically male physical characteristics like large muscles and a deeper voice, but her sex is unaffected.
The causality is the other way: being male - or - female results in a physiology (adult testicles/ovaries) that produces sex associated hormones in larger or lesser degrees depending on the person (and in some cases very low amounts or not at all).
This makes sense if sex is a binary (with rare differences of sex development - detailed here https://www.theparadoxinstitute.com/read/sex-development-cha... ) that results in different levels of sex hormones in the body and resulting phenotype. So yes, everyone is male or female.
(I'm not referring to gender here - I'm talking only about sex)
If there's a spectrum then some men could be biologically "more male" than others and vice versa for women. I've not seen any evidence of this myself, but I'm happy to be proven wrong!
The GPU is capable of performing billions of operations per second, yet Cyberpunk barely runs at 60 fps. And there is no paradox at all.
By the way, the brain seems to perform better than a GPU at tasks like image recognition. Probably because it does even more operations per second than the GPU.
But humans can see objects they’ve never seen before and sometimes guess what they might be used for, which is sort of like object recognition but better. (Or sometimes I see an object I’m technically familiar with, like an old tool of my grandpa’s, and remembering what he used it for feels more like imagining… maybe it is).
https://www.science.org/content/article/human-speech-may-hav...
So I am just not sure why 10 bits/s of symbolic data processing is especially slow in the first place. We don’t have a relevant technological comparison because none of our technology actually processes data in that fashion.
Is it processing at a dozen bits per second, or hundreds of millions?
If the text the LLM generates is "that is true", can I consider that one bit of information?
I agree, they're artificially simplifying the framing of the question to generate a lower number than is sensible.
It's slow when compared to general computing system that we implemented in silicon substrate.
But this assumption doesn't translate linearly to the brain throughput and the perception of existence.
In my opinion the hypothesis is meaningless.
That is not to say the article is meaningless. Actually being able to measure brain information throughput is amazing. It's only that slowness isn't absolute.
Huh, no? No one is able to think about million items in a few seconds.
The 20q thinking process involves bringing an incomplete set of abstract categories and asking a question that divides these categories into two halves (binary search). You don't even start from scratch, using previous experience (cache) to reuse whatever worked best the last time.
Do you also doubt that you're actually living half a second in the past, with the brain compensating for this lag between initial perception and conscious reception of the indirect effects of it?
> Based on the research reviewed here regarding the rate of human cognition, we predict that Musk’s brain will communicate with the computer at about 10 bits/s. Instead of the bundle of Neuralink electrodes, Musk could just use a telephone, whose data rate has been designed to match human language, which in turn is matched to the speed of perception and cognition
Better questions would be, why are we so weak? Why are we defenseless? Why are we hairless? Why do we move so slow? Most other mammals our size are much better equipped for survival. Obviously other beings "perform better" in many ways. Yet our fleshy, weak, slow, gangly, shivery bodies are suited for thinking, for adapting, for communicating and collaborating. However unoptimal or "slow" these authors think our brains are, they are obviously perfectly capable for what they need to do, seeing as we dominate the entire planet.
In any system design, every decision tends to be a tradeoff. You can gain CPU power, but it will cost you energy, heat, and probably stability or longevity. You often do not know what a "feature" will do until you add it. So it's wiser to only add the features you need to accomplish your immediate goals.
If at some point in the future, our survival is existentially threatened by our lack of "processing power", our brains will adapt. Until then, leave well enough alone.
It had to be enough to let us survive, in the context of the challenges we faced through most of our evolution. We took a lot of shortcuts and trims there, that is why we have a system 1 and system 2 in place, with a lot of builtin cognitive biases because of that.
This sort of reasoning seems to be a symptom of inadequate communication/jargon/diction describing mental faculties. Many times during serious thought there's no discrete "number of thoughts" occuring at all: there's just a hazy mental process that resolves to some result and often many results. This reminds me of the "80% of people have no inner monologue!!!" bullshit that went around recently.
Inherent speed does not matter and is ill defined, it only matters relative to the environmental processes we have to react to. We’re already orders of magnitude faster than processes like geology and weather, so it is really only other animals where speed matters, and since we’re all using the same basic hardware, we’re on a relatively level playing field there (except for house flies it seems, lol). Time as we understand it may be as much as a cultural construct as anything else (see, for example Timeless physics). Some neurodivergent people, and people from very different cultures don’t experience anything like what most people in our culture refer to as time.
As for thinking about one thing at a time- I am absolutely certain this is false. Our subconscious operates massively parallel, and we only have one conscious thought at a time. But it had an interrupt system that lets it either act instantly itself in an emergency, and to bring things to consciousness when they are important. I’m sure everyone has had the experience of reacting quickly to an emergency with no conscious thought, or suddenly knowing the solution to a problem you hadn’t even been consciously thinking about.
If a general orders an army to go to war that's a few bits of text on a piece of paper, but obviously that bears no relation to the consequence of what that puts into motion in the real world. It's not like we spend most of our days speedcubing or writing and reading the dictionary. We aren't low level data processors even though that might happen unconsciously somewhere in the sensory system, but the conscious mind is a reasoning system.
Even in artificial systems is that visible, from Deepmind on Alpha Zero (https://deepmind.google/discover/blog/alphazero-shedding-new...)
"For each move, AlphaZero searches only a small fraction of the positions considered by traditional chess engines. In Chess, for example, it searches only 60 thousand positions per second in chess, compared to roughly 60 million for Stockfish."
Not too draw to many parallels between the human brain and these systems, but they do obviously share the similarity that higher order conceptual decision making compared to just data processing will result in lower rates of decision making at at least the top level. That's for me what you'd expect to happen, not a paradox.
> Cognitive psychology has mainly focused on structural and functional limitations of cognitive processes when facing multitasking requirements. Structural limitations assume strict serial processing for at least one processing stage, while functional limitations assume flexible, parallel processing only limited by the number of available resources. Human movement science, on the other hand, emphasizes the plasticity of cognition and training possibilities. As both approaches have provided ample empirical evidence for their views but have predominantly worked in isolation, this example clearly illustrates the need for a more integrative approach to multitasking. A challenge for the contemporary research on multitasking is to bring together the issues of structure, flexibility, and plasticity in human multitasking, offering a new integrative theoretical framework that accounts for this fundamental aspect of human behaviour.
From one of the papers cited by the above reference (Hommel 2020),
> A closer look reveals that the questions being asked in dual-task research are not particularly interesting or realistic, and the answers being given lack mechanistic detail. In fact, present theorizing can be considered mere empirical generalization, which has led to merely labeling processing bottlenecks rather than describing how they operate and how they actually produce the bottleneck.
So, while I applaud the authors on generating buzz and discussion, I think their promising work will benefit from more serious consideration of the underlying neurophysiology.
I'm sorry, I just can't take this article seriously. They make a fundamental mistake of encoding and assume that information is discretized into word-sized or action-sized chunks.
A good example is a seemingly discrete activity such as playing a musical instrument, like a guitar. A guitar has frets and strings, a seemingly small number of finite notes it can play. So it would seem a perfect candidate for discretization along the lines of the musical scale. But any guitar player or listener knows that a guitar is not a keyboard or midi synth:
1. The attack velocity and angle of the pick intones aggression and emotion, not just along a few prescribed lines like "an angry or sad or loud or quiet".
2. Timing idiosyncracies like being slightly before or after a beat, or speeding up or slowing down, or even arhythmic; the entire expression of a piece of music is changed by subtleties in phrasing.
3. Microbends. The analog nature of strings cannot be hidden entirely behind frets. Differences in the amount of pressure, how close to the fret the fingers are, and slight bending of the strings, intentional or unintentional, static or dynamic, change the pitch of the note.
4. Non-striking sounds like the amount of palming, pick scraping, tapping, and sympathetic vibrations.
Of course there are lots of other things. All of these things make the difference between a master guitar player, say Hendrix, and someone just playing the same notes.
And yes of course we can consider the encoding of the audio coming out of the guitar to be information--at a much higher bitrate, but what about the facial expressions, body language, etc? There are tons of channels coming off a musician, particularly live performances.
This entire article just misses these in picking a quantized encoding of information that of course has a low bitrate. In short, they are missing bazillions of channels, not the least of which is expression and timing.
To me it's like saying "I've summarised this book to 5 words, so why would you even need a few days to read it entirely?".
Summarizing other comments - calculating bandwidth in a task-specific way neglects metacognition: the Rubik’s cube solver can rapidly recover if someone shoves them when their blindfold is on; the memory champion can notice a pie being aimed at their face and duck. I think that there’s still something interesting around our inability to multitask conscious behaviors, but the overarching conclusion is flawed.
It’s like the science of the soul and one notable implication is dementia, when people become unable to function and recognize things, I wonder if that “inner observer” is still just as in-tact as it is on a huge dose of LSD?
Going on a limb here, but perhaps we shouldn’t modify biological composition of the human brain.
Reading a text isn't about matching symbols to words. It is about taking these words and putting them into a social context, potentially even doubting their content or imagining the inner world of the author. Obviously that is what the "inner" brain (which existence seems very dubious to me) has to do.
I see absolutely no paradox at all.
it does make them the citated paper problem, though.
the guesstimates are explained as guestimates, and used as illustration for possible upper limits.
There are no measurements here, I can guess the weight of an apple based on some prior (which my brain stores as some continuous distribution, not bits), but I am not measuring it.
It's incredibly tiring that bad science is sold as good science only because it comes from some fancy university. This paper is crap and should be treated as such.
and i think it's a mistake to simplify it all down to just one substrate or receptor
> In contrast, central processing appears to be strictly serial…
and then they proceed to give misinterpretated evidence of serialization because they’re making assumptions about lower level biochemical behavior based on higher level tissue performance. In fact, that tissue-level behavior isn’t correctly described either.
The whole paragraph is:
"In contrast, central processing appears to be strictly serial: When faced with two tasks in competition, individuals consistently encounter a “psychological refractory period” before being able to perform the second task broadbent_perception_1958, pashler_dual-task_1994. Even in tasks that do not require any motor output, such as thinking, we can pursue only one strand at a time."
Clearly they're not talking about "neuronal transmission", but tasks, and further more, they cite their sources.
I addressed the rest of that statement in my comment by noting that you can’t make the same assumptions about biochemical reactions and emergent behaviors of tissues.
Secondly, even from a neurophysiology perspective, their cited evidence is misinterpreted. Any basic dual N-back task proves their central thesis incorrect.
(20 Questions, from the intro) Trying to think of a thing for the game is not a search over a set of known things. Just saying the possibility set has size 2^N doesn't mean that choosing something in the set consists of processing the set. But even if that were the case, and if you do consider each of 2^N options, the consideration process itself is not trivial and probably varies wildly.
(English typing) Touch typists do not (only) simply convert an existing/known string to a sequence of hand actions by mapping character to action. There are whole words and sequences that become units/tokens from the standpoint of muscle memory and processing (this will be relevant to the rubik's cube topic as well). When i type, there's a sort of planning and queueing of actions, but also there's monitoring of actions that allows fast error correction with pressing delete a number of times or holding it and costly determining when the error has been reached, and resuming afterward. Of course the process likely varies from person to person, but there's such a host of other things going on that should count as part of the information processed in this simple behavior that the example and numbers used in the paper for it are utterly useless even as estimates.
(Rubik's cube blind speed solving) Again we see reference to the entire possibility space (from the perspective of possible configurations of the puzzle). But solvers do not identify the configuration they encounter with reference to the space, nor do they search the space for it. They look for patterns and ignore what they cannot use for the strategy they have practiced. The cuber often does not commit to memory the whole configuration, but will often convert it to a custom and bespoke mnemonic. It's just utter nonsense to refer to the number of possible configurations, it has nothing directly to do with what the human is doing.
If I memorize a 30 word passage, i have not "processed the set of possible 30 word passages".
<s> Could it be... there is a bit of a straw man argument here? About how much information it actually takes to input and output a complete sensorimotor task? I dare say! </s
The title appears to be accurate?
Pointing out positions in a 10cm x 10cm x 10cm cubic volume seems to possible significantly faster than 1/s.
The slower examples listed in the table all have some externalities like a motor/object manipulation feedback loop overhead (speed cubing) and or redundacy and are not optimized for pure information density, so I have no idea why they settled on that average, and not the optimum?
Object Recognition and Reading are already at ~50 bits.
But significant portions of that process are not done by the conscious brain, and some aren't done by the brain at all (reflex and peripheral nervous system). We don't consciously think about each of the 100 muscles we're switching on and off at rapid speed.