It's an assertion that rests only on the assumption that the brain adheres to known physics or if it relies on unknown physics that the computational effects of those differences can be simulated or the physical effect replicated.
It'd take a truly extraordinary find that'd upend both physics and areas of logic for that assertion to be false.
Or more succinctly, all the known laws of physics effect things in a way that can be simulated by sufficiently complex computation. The idea that there's something going on in a wet, warm l, mushy brain that has a macroscopic effect, and yet isn't accounted for by the currently known physics or bonkers.
Explain yourself. There is not a understood natural phenomenon which we could not capture in math. If you argue behavior of the brain cannot be modeled using a complex math program you are claiming the brain is qualitative different then any mechanism known to man since the dawn of time.
The physics that gives rise to the brain is pretty much known. We can model all the protons, electrons and photons incredibly accurately. It's an extraordinary claim you say the brain doesn't function according to these known mechanisms.
Yes, it does, because if the brain adheres to known physics it means the brain has the same limits on computability as any other universal turing machine, and while replicating the process can still be difficult, it can't be impossible.
The idea that there is no fundamental law of physics that should prevent us ...
Maybe ... someday. But right now, we don't even fully understand the physics that makes a human brain work. Every time someone starts investigating, they uncover new complexity.
It also never gets into whether the brain is an exception to our laws of physics; if it is not, then it's trivially computable because the laws of physics are. If you're going to argue the brain is not a computer, you need to give plausible reasons for thinking the laws of physics are incomplete (which is what Penrose does, for example).
Any quantum randomness in the brain can be simulated because we know how to generate quantum randomness, then just feed that into a deterministic physics emulator.
Honestly, yours sounds more like a religious claim that the other.
It seems less a religious claim to assert that the human brain is mechanistic, and simply operates using physics to perform complex operations than to assert that there is something “unknowable”, or “outside of physics” that would prevent us from being able to build a similar machine.
If there were 0 examples in the universe, I think your point would be a good one. But, given there is 1 example, I think it stands to reason that there could be more.
I could accept an argument that one might expect it to be hideously complicated, and not something we’ll be able to accomplish for a long time.
But the claim that there’s an information theoretic reason that would absolutely prevent it, would seem to make the claim that there is something metaphysical about the operation of the brain, which seems like a quasi religious claim to me.
Ok there's no conclusive proof yet as no one has been able to do it yet, but as far as I know no one actually debates this anymore. It would be incredibly surprising, to say the least, if the brain turned out to work completely outside the known laws of physics.
So because solving a problem might require something that might be outside the constraints of physics, I'm implying that solving that problem requires violating physics? That doesn't make sense.
Also, correct me if I'm wrong, but are you implying that a neuron/synapse-level scan might not be sufficient?
Is this some kind of new-age philosophy? Show me the part of the brain that doesn't work based on physical properties. If you can't, then we have to agree that the brain is just operating on mathematics.
Computers can do math too. QED: your argument makes no sense.
The brain is a biological machine, it follows the laws of physics. There isn't any part of known physics that prevents us from simulating any number of atoms using a suitibly powerful computer.
A small aside, even simulating a small collection of quantum particles fully is enormously taxing with current computers and adding more particles increases complexity beyond just a linear increase. But this is a mathematical exercise.
Now, it's possible that the human brain depends on some law of physics that is not computable (possible to simulate on a computer), but given the level of study that had gone into neurons, along with the temperature of the brain vs the energy ranges we've examined with colliders, it seems super unlikely.
If it helps, Turing machines with n-dimensional tapes have been proven equivalent to the basic Turing machine.
I'm a dualist but for the sake of argument, one approach is to claim that however the brain functions, it should be explainable by physics, and if physics is computable, then it should in principle be simulable by a Turing Machine.
How those bits go to human cognition is not a matter of physics. It is just a matter of neuroscience. There isn’t any room for exotic physics in the functioning of these bits and their interactions.
You're making the same mistake again. You're equating complexity to impossibility/improbability. They are not causally related.
We know that brains work. You and I having are having this disconnected conversation using an incredibly deep stack of technological infrastructure, all created with human brains over decades and centuries. Brains are physical things, not metaphysical. The physics of the universe we live in allow matter to interact in particular ways that let brains exist.
The physics that lets brains exist is the same physics that describe relativity. We have 100+ years of thousands upon thousands of experiments and acquisition of data that backs up relativity. Its very unlikely to go anywhere.
I'll agree that the physical structure of an adult brain (not just human) is very complex. Its not mind boggling though. Much of the brain is just repeated neural structures. There are what, a few trillion connections? In 1950 that was a mind boggling huge amount of data. Now? That amount of data fits into a thumb drive with room to spare.
The tricky part up to now, and a couple years into the future, is building the right tools to pick it all apart. Its just like the solar panel problem. Low efficiencies, high cost. Same with Moore's Law and cpu's. But we have, if not the highly refined eventual versions, but the basic and functional tools to brute force through figuring out the its & bits of the brain. Actually, a lot of the work is already done. Neuro chemistry, effects of different neurotransmitters, effects of various drugs on the brain, FMRI, etc and etc.
Don't forget that Obama recently announced a brain initiative. Its the along the same line as the human genome project in the 1990's. Detractors said that it would take hundreds of years to finish with technology in the early 90's. Was done under budget and on time within 10 years. By 2020, just 7 short years away, everything computer-related is going to have doubled a little over 3 more times.
With all of this in place, the subsystems of the brain are complicated but not insurmountably. Even without initially having a sound mathematical description of how the brain works, we are/will have enough data to brute force a detailed simulation. If that's the route we have to go, then the mathematics will come later. Indeed, this is how much of the relationship between engineering and science/math has been for thousands of years. People were using arches in buildings long, long before understanding the math behind weight distribution.
In terms of energy, we can easily calculate how much energy it takes to simulate a brain. Let me put some numbers together. I was born 1/30/1980. I am 12,149 days old. Lets say that on average, it has taken 2200 calories a day for me to survive from birth to the current moment. Roughly, it has taken 26,727,800 calories for my body and brain to survive and prosper. To keep this simple, I won't even try to calculate the energy spent on everything else like clean water, electricity, transportation, entertainment, etc. In general terms, since I live on Earth with you and billions of others, its not an insurmountable amount of energy since we're all here. Plus, I'm a big guy so its safe to say it takes less calories to raise a human-class sentience to adulthood.
So, lets sum up your arguments and my counters:
1) Uploading (understanding) a brain is too complex:
-> There's already a large understanding of the biochemistry and mathematics behind brain function. Its not a mystical black box. Given current and in-development tools, combined with massive data storage and analysis systems, picking apart all the bits of the brain will be done in a few years.
2) Too much energy:
-> We're already well on the way to reverse engineering the brain. The energy required to finish the task is marginal. To simulate a brain, we already grow billions of real brains for less calories than it takes for a fat guy in San Francisco to write everything you've been reading. Convert those thermal calories to heat in the world's most efficient sterling engine, and that's one thing you can use to power your simulated brain. I dare say that it will cost less power to run a sentient AI than it does to support my love of bacon.
3) We'll find a way around relativity before understanding the brain:
-> Brains exist. So does relativity. The physics of the universe support reverse engineering brains. They don't experimentally support breaking relativity at the moment. However, I too am hopeful that some loophole or something is discovered that lets relativity be less of a barrier than it appears. However, given practical real-world data, that isn't likely any time soon.
4) Physics is difficult to simulate:
-> I didn't hit on this point explicitly above, but yes and no. Yes in that creating a simulation of universe from particles on up is daunting. Even with today's and near-future doubling growth, doing massive particle simulations will be very hard. No, in that you don't have to simulate every atom in a brain to understand how it works. You create mathematical models detailing how the tiny little structural bits of the brain work (neurotransmitters for example) and perform calculations based at that. Still a large computational problem, but one that is already with our grasp as of this minute and only easier to do going into the future. So basically, you don't actually have to simulate physics. You just have to simulate the mathematical interactions of the subsystems that make up the brain to get comparable results.
5) Germans
-> That's the great thing about solar power. Its everywhere. During the day in most parts of the world, even when its overcast, you still get enough sunlight hitting the ground to provide lots and lots of power. Sure, you'll get more in the desert on the equator, but that's the maximum and not minimum useful amount. People that make the statement you did have the argument backwards. You have to ask, "What is the minimal amount of solar energy we can collect to be useful and economical?"
Man, this took a lot longer to write than I thought it would.
as if this were obvious but... If you accept the possibility of random events (something deeply related to Quantum Mechanics)... There can be lots of non-computable things out there in our minds...
> Physics can't deal with the brain. No equation can be written.
There are many many many physics simulations out there that cannot be "written with an equation". Climate Modelling, for example. You cannot write a single equation to model all that. You need a big complex piece of software, made of many equations, a lot of hardware, and a lot of processing time. Any of those was simply inconceivable mere decades ago.
It's possible that it's as you say, and the brain is inscrutable if we attack the problem from the physics point of view alone.
I think that you may be right. With what we have now. But decades from now? I'm not so sure.
As far as I understand, the prevailing opinion is that the brain is a physical object and that its operation does not involve currently-unknown laws of physics (because we have a good understanding of what happens at the scale of an entire atom or above).
A Turing machine can run a simulation based on such physical laws to any desired level of precision (which is enough, because as mentioned in TFA, processes in the brain aren't individually very precise). This is true because of the nature of these laws, which are mostly just asking you to integrate differential equations. If you accept this, then it should follow that a Turing machine can in fact simulate a brain: just run a physics sim on a brain's initial state.
(I do realize that this is far outside the realm of what's doable today, but it seems to provide a solid justification for why it's conceptually possible).
Well, there are plenty of quantum effects required for cells to function (everything is just biophysics and biochemistry after all), but those are irrelevant at the scale of the brain as a whole. The properties we care about (especially in this context) are emergent.
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