This is your brain *holds egg*, this is math *holds frying pan*, this is your brain as math *fries egg*. Any questions?

@want-diversecontent3887

6 жыл бұрын

MegaAwesomeNick How?

@adeshpoz1167

5 жыл бұрын

Actually Yes. When can we eat it? To be honest it sounds tasty and full of sensory blasts. 😃

There's a company called Numenta that is trying to reverse-engineer the brain. It turns out that almost every part of the cortex is structured almost identically to every other. The only difference (with a few exceptions) is that the different cortical regions get different inputs. Their theory is called Hierarchical Temporal Memory if anyone is interested, and the math behind it involves a lot of sparse binary vectors and combinatorics. Plus, from what I've heard, a lot of people at the Blue Brain project are starting to take it seriously.

@mastershooter64

Жыл бұрын

im very skeptical of that, what progress have they made in 4 years?

You are objectively one of the best youtubers on youtube, thank you for being with us.

2:57 "There are serious neuroscientific questions about the legitimacy or accuracy of this reconstructed brain. It's controversial" As a neuroscientist I have to say: Thank you for mentioning this! I am one of those who think it will do more to help us develop computers than it will do in understanding our brain. From a neuroscientific perspective I think it's a huge waste of money. Also: I know everything has to be simplified, but a directed graph would be much better and is also well described mathematically as far as I know. Then, adding different strengths/weights to the connections would be a giant leap in making it more realistic. At that point it would get close enough to reality to make not only the math interesting, but also the conclusions and their biological consequences for the brain!

@senri-

6 жыл бұрын

"Add different weights to the connections" This is basically what makes up most of the state of the art AI today: deep neural networks

@dragoncurveenthusiast

6 жыл бұрын

True. I'm quite excited about the learning abilities of those.

@simoncowell1029

6 жыл бұрын

The study discussed here does use directed graphs and directed simplicial complexes.

@bogda1917

6 жыл бұрын

Dragon Curve Enthusiast I am curious about the limitations of graph models in studies of the brain, including more sophisticated graph models you mention (weigthed directed graphs). Could you share some material (papers in neuroscience, books etc) that elaborate on that kind of critique? Thanks in advance.

@dragoncurveenthusiast

6 жыл бұрын

Henrique Felix I don't have any papers on this topic, I just spoke / wrote as a neuroscientist who knows a tiny bit about graph theory. My scientific work is in a completely different area of neuroscience. The only thing I know about the overlap of graph theory and neuroscience is from the book "Rhythms of the Brain" by György Buzsáki and a few talks on various meetings, seminars and conferences. I really liked the book, but it was written by a biologist / neuroscientist and thus it's not very mathy and it's not all about graph theory, so it's maybe not what you are looking for. One of the problems it approaches is how you can define connectivity rules that are the same for mouse and human brains. So, how brain size could be scaled up from mouse to human without making humans much much slower. Answer: scale free networks. In the meantime, the book has become quite old, it was published in 2005, so many things might be outdated already. I know Gyuri Buzsáki personally. He is a popstar in the field and one of my "scientific grandfathers" (i.e. he was a supervisor of my supervisor) en.wikipedia.org/wiki/Gy%C3%B6rgy_Buzs%C3%A1ki The book is freely available, so you can check it out without having to regret anything if it's not what you are looking for. I think you can probably at least get some references out of it, to get to something that is more useful to you. www.researchgate.net/profile/Gyorgy_Buzsaki/publication/223130267_Rhythms_of_The_Brain/links/00b4952bb0ae609ac9000000/Rhythms-of-The-Brain.pdf

Part 1? Oh boy, that's going to be an _infinite series_

@alihesham8167

3 жыл бұрын

countably infinte series

@toluadebesin8854

2 жыл бұрын

@@alihesham8167 😂😂 nice one bro

Im looking forward to this series. It's exciting!

so excited to watch the rest of these!

"your brain is physically 3 dimensional" Ok so she's going to use a 2 dimensional chart of some kinda to showcase connections or something "11 dimensions" (*ﾟﾛﾟ)

Perfect topic! Last weekend I heared about it. I am looking forward!

I heard about this high dimensional topology of the brain . . . somewhere. I'm glad to see a presentation of it here. - A brain has millions of myelin. They modulate nervous system electrical activity like resistors. Many are placed as one grows up(becomes conditioned). But, they also get placed on neurons while learning. I think of this as suggesting that the Brain is a kind of muscle. Use it or loose it.

a person studying about brains is just a brain trying to understand itself

@erawanpencil

4 ай бұрын

Well said. These videos could have been way more interesting if it took that perspective, since there is potentially way deeper math related to self-identities, symmetries, invariant information, etc. Instead we're just given a low-level computational/mechanistic take that's saddled with laughable assumptions and murky unexamined philosophy. Math ultimately is thought, no need to bring brains or quantified observables into it.

Nice work, good communication skills. Excellent subject matter!!!!!!

This is your brain. And this is your brain on math.

I have been having trouble learning topology. I am excited about the next video.

looking forward #2 and #3

Does anyone else find discussions of the brain to be really existentially disturbing? I think it has to do with the realization that what I perceive as "me" is merely a series of mathematically describable processes behaving deterministically, and "I" am not uniquely different from any inanimate object, except in terms of relative complexity.

@stevekiley6121

6 жыл бұрын

Not proved yet. Until we have made a computer model which passes the Turing test in every degree will that be suggested. Even then, will that model have achieved consciousness? Neoroscientists etc. have been doing this kind of thing for decades, and we still don't have a clue what consciousness is, or how it arises. Maybe we will find out how a memory is stored in the brain (well, not just saying that a certain part of the brain changes, but how that corresponds to a particular memory) in the not too distant future, but I remain sceptical.

@yannickdufil9739

6 жыл бұрын

Neuroscientists have failed to identifies what consciousness is because it is not their goal or purpose. They just look at the brain and try to explain how it works. In fact the concept of consciousness is a problem of philosopher and they even fail at giving a correct definition of it. We, as humans being, intuitively "know" what consciousness is but can't quite define it. Therefore IMHO it is just an other illusion.

@iIO_OIi

6 жыл бұрын

AFastidiousCuber, I don't find anything disturbing about that, I don't know why it would be disturbing either because it doesn't change anything, here we are, it should perhaps be considered a miracle too by some philosophies, though for me that's just ordinary.

@stevekiley6121

6 жыл бұрын

Yannick Dufil. If consciousness is just an illusion, then what could possibly be real? Everything you've experienced in your life has come in through your senses, and been interpreted through your consciousness. To assume there is a world outside of this is just a leap of faith (though I don't deny it could be true). If you could think of an experiment which proves there is a "real" world out there, than I should be interested.

@njack1994

6 жыл бұрын

I can pretty concisely prove there is not an experiment. Every piece of information eventually can be reduced down to sensory perception. We can not perceive reality because sensory data is analogwhich tell us nothing to differentiate from or learn from. We merely interrupt what reality can be in relation to something else which does not make it true, just relatively stable with minimal variance.

More like this please.

11 dimensions? Next thing you know she will use string theory...

@unvergebeneid

6 жыл бұрын

Yeah, might thought exactly: also 11 dimensions? Coincidence? Very much so!

@SuviTuuliAllan

6 жыл бұрын

We are in the universe and the universe is within us. Also boo boo blah blah bleep bloop. kzread.info/dash/bejne/rKp-26-mp5W6mNo.html

@renerpho

6 жыл бұрын

Sorry to disappoint you, but it's got nothing to do with string theory. journal.frontiersin.org/article/10.3389/fncom.2017.00048/full

@nateunderwood7819

6 жыл бұрын

I dont think that the 11D structure of the brain and string theory are unrelated, its probably somthing quantum that gives us conciousness

@dexterrity

6 жыл бұрын

Nate if you don't think string theory and this are related, please I would love to hear your reasoning as to why "something quantum" does. Do you even know what quantum means?

The intro of this video has too much power

This video helped me develop some new ideas!

i have a good idea for a vid. you add numbered balls to a box. for each number, you remove the factors of that number, except for one and its self if a factor of a number has been removed already then you are to put it back into the box what would the sequence look like for the number of balls in the box

I remember hearing about the Blur Brain Project on the documentary series 'The Brain with David Eagleman' a year or two ago. It was pretty interesting. Looking forward to the next two videos!

@daphne4983

4 жыл бұрын

Blur lol

11-dimensional triangles. I love this

Man I miss this series

Noice. Respect for mentioning the controversy of the blue brain even if brief

Digital reconstruction of the human brain? K-KURISU?!

@indianjitsingh9784

6 жыл бұрын

... I get it. S.E.R.N. TUTURUUU EL PSY CONGROO (Too much)

I, from 4:56, have a renewed sense of ability in my math skills!

Woah. You cosmology enthusiasts need to calm down. Our brain is still inside the good ol' 3+1D spacetime, not a higher dimensional objects physically. It's just that we used higher dimensional abstract shapes in order to visualize brain connections in a better and tidier way.

@pitthepig

6 жыл бұрын

Edward Knave well, cosmology is a perfectly valid science. People talking nonsense are more in the field of pseudocience.

@EdwardNavu

6 жыл бұрын

pitthepig Thus, I used the term "cosmology enthusiasts" instead of "cosmologists". Any cosmologists won't mess these things up. And I don't want pseudoscientists getting in our way, just like you don't want that to happen.

@nateunderwood7819

6 жыл бұрын

Note if we have to use 11D structures to visulalize the brain, then it is a perfectly valid, albiet not Ocam's razored conclusion that maybe they do exist in 11 dimensions. Unless we can perfectly create a copy of a brain we cant rule out that possibility, just as we cant rule out that the world was made 5 mins ago and everything just happened to exist like it is

@EdwardNavu

6 жыл бұрын

Nate Underwood You have a good point. My emphasis after your amendment would be that our brain would still sit in the spacetime just like any objects in our universe, and brains are not necessarily higher dimensional than other physically objects.

Isn't there an issue in seeing a neuron as a point or a binary "on and off" switch? The neuron itself is quite complex, I'd say, and the operation needs to be defined in a much more rigorous way, each particular neuron might seem insignificant in a rat or a human, but in an insect or simpler life forms, neurons seem to be something much more complex as they are fewer in number but yet are able to give rise to some form of "life" (for instance the "Caenorhabditis elegans" which has 300 neurons). My point here is, the issue should not necessarily be "mapping", similarly to how understanding anatomy does not give one understanding of how it is that muscles can operate for instance, understanding neurons will not necessarily give us information about the operation of the neuron or neurons. Anatomy gave us a map of body parts. Mapping neurons will simply give us a map of neurons for all i know. Is this unreasonable skepticism?

@hellopleychess3190

Жыл бұрын

you're watching a simple video but not a super-scientific project

1:11 Hair warp!

Can I just say how absolutelu STUNNING the host is? Drop dead gorgeous and also extremely intelligent. 🙌👩🏼

I wanna see someone color graph the brain.

Another comment goes by unnoticed... Also, did you notice how she sped up close to the end of the main speech? :)

@hdwe1756

6 жыл бұрын

Agent Fire Yep! She normally speaks quite a bit slower - maybe she didn't want to make it too long as there are three parts?

Her body language says she is an Italian mobster...

2:38 that rat seems the FullMetal-Alchemist chimera. It's creepy.

What if the intensity of a signal between two neurons leads to two different response? Would we have to subdivise the vertices of the vertices complex into vertices?

Look, I'm not very good at drawing; Painting and sculpting are hard, but the one thing I am good at? Art.

I've never thought I will ever hear "Algebraic Topology" in a KZread video.

@ewthmatth

5 жыл бұрын

Why not? KZread has PhD level lectures on all kinds of subjects.

I miss her superb videos so much

In even one simplicial complex, there are a surprising number of simplices.

your brain ON math

Not sure if it is as comfortable to record the comment responses outside, but the audio actually seems a lot better that way.

By just using nodes and edges they are only modeling the neuron-to-neuron connections. Aren't they missing other vital connections such as gates (axon-to-axon, axon-to-dendrite)?

In regard to your answer for having a finite amount of time, it is very puzzling to me because you need a finite amount of time but you divide it infinitely which is basically the same as have infinite amount of time right ?

By neural networks you mean the same ones used in machine learning? (In this case more complex of course)

Still some engagement, even after 3 years! :-)

0+0+0.. infinite times, by taking partial sums and drawing the result from some sums seems like a problem similar to the '2^54 +1+1+1... (2^54 times) = 2^54' from 'Why Computers are Bad at Algebra | Infinite Series'. we even tried to annotate it as funny round-up errors.

Why don't they put a node between each set of two nodes which would represent that synapse between the two neurons, and give each edge on either side of that middle node multiple properties which represent the various neurotransmitters and the affinity of the various receptors to bind with them? Does that kind of thing exist in graph theory?

this is IT!

2:24 oh boy, the philosophy-of-mind-laden ethical concerns

2:26 that's my laptop!!!

When you say average path length, you don;t mean in euclidean distance, as it doesm't matter where you draw the points as long as you specify which are connected to which. By "path length", you mean path length measured in units of transitions from one vertex to the next? (i.e. the distance from any two vertices is 1, no matter how many pixels they are away on the screen, so to speak.) Or in other words, you are measuring the "number of jumps" from node A to node B, right?

Seeing the notification just brightened my day! Thanks for the videos! 😁

@15october91

6 жыл бұрын

legendariersgaming same here my friend, same here.

so what she's saying is that only the exact definition will fit your idea image and that just a portion of that image could possibly lead to a totally different one. It's the infinite mirroring effect.

Could Local vs. Global have parrallels with General Relativity and Quantum Theories?

It's like a better looking spacetime.

1:48 this man has six fingers.

[06:11] no-Zeno's paradox says in-effect you can count the number of moves a Tortoise makes before the Hare catches it or passes, which it does in finite time so it must have a final answer-we say "infinity" but (1/∞) = 0+ ≠ 0- ≠ 0 'til countable is beyond-infinity....

@rkpetry

6 жыл бұрын

As for neurosciences, I took an ee-course in bio-sigs recently but didn't find much during the semester, on the subject of functions implemented in spike-train... few articles since (and it's been 'since' since early-1900's)....

I read the title as "Your Brian on Meth".

Does anyone know what the intro music is?

That's it? We haven't gone anywhere yet....

I have to disagree with 0*infty being undefined. Because it can be either defined or undefined relative to axioms. So for instance in hyperreal number systems you would say any Cardinal times 0 is 0, but an infinitesimal multiplied by a transfinite number would be a lot harder to define, in some cases impossible.

Excellent video. 👍 At least I could mark, 2:46 There is roughly 31,000 neurons, and Eight (8) million connections, or edges. Is that cover already what in the brain is?

@hellopleychess3190

2 жыл бұрын

31 000 neurons? are you sure man wtf?

Comment to the reply to the comment about infinite sums of zero. You can also do uncountable sums of zero, and it's still zero. There you define the sum to be the supremum over finite subsets of the terms. You can define such a sum for any non-negative collections of terms.

I'm confused. Are we going to do artificial neural nets? I'm asking cause I asked for tensors and ANNs when you asked for future topics.

@hdwe1756

6 жыл бұрын

Paramdeep Singh obheroi I don't think so - just talking about analysing models of real neural networks.

Except any biologist knows that a neuron is much more than a point. A single neuron in itself is a powerful processing unit utilizing quantum-mechanical processes (because it relays information on much smaller molecular scales) and a complicated concert of chemical, electrical, magnetic and optical signaling. Theres much more in there than action potentials.

Maybe it was too much detail to include, but I'm missing the importance of neuron behaviour in this talk. Things like neurons that fire together, strengthen their connection and neurons that don't fire together, disconnect over time. The network itself is not static. I'm curious about the higher dimencions. It seems unnecesary to go there.

I wonder if their model can handle the same calculations, but compared to the same brain on a hallucinogenic drug with all of the additional interneuronal synapse connections.

So now we’re building brains in vats? I thought we were the brains in vats.

6:44 I'll be sure to "subcribe". (Sorry, couldn't help it ;D)

Honestly this is much more of a computer science video than anything else.

@AlexKnauth

6 жыл бұрын

A lot of people would consider theoretical computer science to be pure math. We do a lot of stuff on paper for it, we write mathematical proofs, we use theorems and lemmas, we describe them in terms of mathematical models like set theory... I would call those things math.

@ralphinoful

6 жыл бұрын

This is as pure as pure math gets. Remember, computer science was born out of pure math.

@hdwe1756

6 жыл бұрын

They're both awesome - who cares which one?

@cogwheel42

6 жыл бұрын

"Computer Science" should really be called "Computer Math", and should be distinguished from "programming" and (even more so) "software development" ... Most of computer science is very math-y and takes a lot of effort to connect with real-world software development.

@duggydo

6 жыл бұрын

Probably because most of the math videos are chocked full of errors.

Hi there. In the neurons graph the neurons looked all the same implying that they bahve the same way. Be carefull there. Some do transmit information 1:1 some others need a certain threshold to transmit signals. They behave like a theacher where a student constantly interups the class. At first the theacher overlooks the first 3 o 4 interuptions but disciples the student on the fith occasion. Please consider that there are different neurons bahing in a different way.

The epitome of evolution as topological thing so the brain can understand

dank

I think there's 6; length, width, height, time, numericality, and ... i forgot.

My first reaction to the intro was "only 11?"

@iIO_OIi

6 жыл бұрын

._.

Why did they end this show?

I love the math of neural networks, but given the state of the world, I'm pretty sure there's only 2 equations that govern the structure of our brains. 1 human + 1 human = 3 humans and hunger + cow = not dead

@iIO_OIi

6 жыл бұрын

QED, well... at least kind of.

@imrtun

6 жыл бұрын

Jason Martin k

I lost it at 0:00

Or in other words: "U+R brainWaves as htaModes"

Brains are finite machines with random inputs

I miss her videos 😢

Mathematician recognize mathematician

2:00 Is it just me, or does that guy have 6 fingers?

What is this cliffhanger madness!? At least Game of Thrones has the decency to leak their episodes early!

Where would "division by zero is equal zero" a problem? I think undefined is a random decision.

@BatteryAcid1103

6 жыл бұрын

short answer, calculus. look up indeterminate forms if you want to know more.

@FilosSofo

6 жыл бұрын

fischX Mathematicians are like lawyers, they are only playing with definitions. Definitions that are useful, and x/0=0 is problematic, as are the other options we have to define division by zero. One way of completely breaking down math with that definition is, taking for example 3/0=0 ; which means that 0 times 0 equals 3. but also equals 4 , since 4/0=0. So 3 = 4 = anything... not a very useful definition.

If Time is the Fourth Dimension and Our BRAINS is 8 Dimensional, THERE IS NO DEATH. DEATH WOULD BE JUST LIKE YOU CUT OFF YOUR FINGER.😮

I hate when large channels put out a series of videos. I don't want to subscribe because my sub box is going to be filled with mostly shit, so I won't see the videos I want and then I never get to watch part 2 or 3

fMRI 100 people tying thier shoes.

NANCY FROM STRANGER THINGS

APPLIED MATHEMATICIANS!? HERETICS!

just use breadth first search

If consciousness comes from structure, can we analyze it? emotion

@pitthepig

6 жыл бұрын

consciousness, emotions, memories, are just chemical reactions going on on your brain. So yea,we can analyse the, although is a very very very complicated thing

Aaahhh Shit...I'll need to come back to this(edit: Rewatch) when I'm sober...

what?

Henry MarkraM yrneH

Pbs doesn't Homestuck. Good to know.

H Y P E

Your best video yet

@15october91

6 жыл бұрын

Lordious I'm sure it will be a great video, but I know you haven't seen it yet since it's been less then a minute since the video was fully uploaded.

What a charismatic lady! I want to have girlfriend like her. Maybe not the most beautifull one, but still decent and somehow super cute, those gentle voice and body language. And she is smart also. Probably an excellent company. Wow I love her!