I have absolutely no idea what most of the mathematical notation here means but listening to you try to explain it (which i'm sure for more math savvy people than me made perfect sense) feels weirdly calming, like i could just listen to you explaining things for hours
19:50 - i_k * i_k = i_k is the definition of idempotence, for an example of a mathematical structure that satisfies all 4 of the given constraints you can consider the monoid of simultaneously diagonalizable idempotent (projector) matrices with i_delta the identity matrix. Furthermore the distinction i_delta = 1 suggests that i_delta can be conceptualised as 1 rather than is the number 1, an element of the real numbers. That is to say i_delta behaves in a way similar to what we would expect of 1, i.e. the multiplicative identity element in a monoid structure.
A more interesting and illuminating example would be all binary digit sequences under the AND operator, e.g. an infinite sequence of d = {d_i} for i in N with d_i in {0, 1} such that d*d' is given via (d*d')_i = d_i * d'_i, then the identity is given by d_i = 1 for all i in N. Unfortunately all the examples I've found up to this point are associative, or isomorphic to this digit sequence space or analogous for an appropriate net.
I actually didn't know about the term idempotence which is nice and I'll look more into it, also I already though about the AND operator but the problem is that it works with 1 and 0 so I find it hard to be used in a way to describe a space, and also it doesn't follow completely the rule of i_k*i_k=i_k, given that if you have d=1 and d'=0 then d*d'=0, so it still wouldn't work (it could still be just a special case but there is no mention of it so I would avoid it) Also for i-delta I was really careful in defying it just as identity for the exact reason you are saying here, especially because here ( fermatslibrary.com/p/e1816fd1 ) is a paper talking about space using a gradient, so is probably needed to get General relativity involved to go in depth about this space Edit: the link didn't work
I EXTREMELY appreciate you covering this I found this analogue horror a while ago and watched a few of its videos, but it just seemed SO hard to get into, so this explaination and dive helped a lot, and has also made me appreciate the analogue horror much more!
I was the same and decided do a deep dive just for fun, I decided to do this video after I started finding connection with stuff I was studying for uni (statistical mechanics at the time) and my friends said I should do a video about it because I was going insane Great suggestion because I had a lot of fun doing this, and will do more for sure
8:05 i think he means “the British C” as in the notation "⊆" in set theory. The symbol "⊆" means "is a subset of". The symbol "⊂" means "is a proper subset of". Example. Since all of the members of set A are members of set D, A is a subset of D. Symbolically this is represented as A ⊆ D. Although you make a compelling point at 8:45 about the song and the Russian Connection
I got tunnel visioned on the song and didn't even realized it could also mean just C, it could maybe be a nudge to both things? It would be brilliant from Unhortodox kitten's part
I'll definetely do more, expecially because this video is practically only an introduction to this series, there is a lot more to be said and I still didn't cover some of my favorite things about it, so be expecting more (still will need some time expecially because now I have uni exams)
*Math Wars: Imaginary catastrophe* "The world is changed I can feel it in the equations I can feel it in the graphs I analyze it in the theories Much that once was is lost , for now none live to remember it ... "
My brain hurts but it hurts slightly less thanks to you, I appreciate this. It at least makes me able to conceptualize what's happening to some degree, even if I don't understand all of the terminology.
@@Bananappleboy the comment didn't get deleted, and for captions honestly I didn't think about it, i'm gonna make them now Edit: just added English subtitles
I was randomly recommended the "Existence no longer exists" one a little while ago and thought it was interesting. Didn't look much further into it, though, but I'll take this as my chance to do so.
Math would be the world for computers and equations would be its life, calculus its physics. -This ,,Life,, will create its own mathematics for mathematic, a limited world is just a reflection in the mirror thru a filter. -Information will understand it is information, matter will understand that it is matter and information.
Video fantastico! Hai molto potenziale ❤ Se posso dare un consiglio: cerca di parlare più lentamente o scandire meglio le parole così che anche gli spettatori internzaionali ti capiscano
Even if I only understand like 10% of what's happening, I definitely appreciate the creator's brilliance. Like, I'm sure they're doing some really high brain smart shit here. Any sufficiently advanced science is indistinguishable from magic and all that, I suppose
Soo... He is interpreting model-00 interpretation 4... Which means we're getting model-00 interpretation 5? Like, that feels applicable to real life, its mostly just how "dumbed down" it is with interpetation 0 being the truth of the subject and everything else bein increasingly higher attempts at explaining it
Kinda, there is a paper that I've not talked about here that talks about how much something can be "dumbed down" until the information gathered is unusable. Which is similar to how you do science in real life where you need to be in a certain range of accuracy to the center of the probability curve (usually you need a 95% certainty that your value is correct) and usually the more iterations you go away from the original value the lower your accuracy becomes.
I glossed over it in this video because I'll talk about it in a later video but interpretation simplifies what we are studying until is about to be understood, conceptually i think is similar to l'hopital's rule where using it you simplify a limit until it gives you a clear result. So imagine Interpretation as something similar. Still in a later video i will explain it better, I avoided it here because it would have been confusing without having context in where it can be used
@Fumo_Man ill be honest I have no idea what you just said, but I'm not sure if it's due to my lack of knowledge of that level of math or if it's just my autism making it hard to parse what you're saying. I'll wait for the video where you explain it
@@SpecialInterestShow don't worry about it, also in comments is harder to explain and I used some math concepts to make it easier on myself, in a video I'll try to make it easy to understand for everyone without any prior math knowledge, will be though but I'll try
it doesn't represent anything physical but an element in a series, at 15:30 I show the series where it appears in. The series simply says to sum every value from i=1 to i=k_1 (meaning every integer, so i=1, i=2, i=3,..., i=k_1-1, i=k_1) I think it doesn't mean that i is higher, considering that it always starts from 1, but that k_1 needs to be higher because is the end of the series, so i needs to become as big as k_1. Also to consider that these are purely mathematical being, especially Model-00 that is part of the virus that creates Math, so this is most likely just abstract math that is able to describe it without any meaning behind it.
if i am not mistaken the Model 01 J 2 is Hummanity … intreptations and understanding though …… is intreptation like sexual reproduction ? and understanding is how complex the genome is ?
Humanity is present in the series, and I can assure you that is not part of any model, the models are self-contained entities that are part of this world. For interpretation a clear definition is not present, but it can be iterated that is a mathematical tool used to understand the world, is more like something used to simplify what we are seeing until is able to be understood
my dumbass coughing and sneezing after looking at "1+1=2"
Are you sure? Ahem *Proof it*
I have absolutely no idea what most of the mathematical notation here means but listening to you try to explain it (which i'm sure for more math savvy people than me made perfect sense) feels weirdly calming, like i could just listen to you explaining things for hours
19:50 - i_k * i_k = i_k is the definition of idempotence, for an example of a mathematical structure that satisfies all 4 of the given constraints you can consider the monoid of simultaneously diagonalizable idempotent (projector) matrices with i_delta the identity matrix. Furthermore the distinction i_delta = 1 suggests that i_delta can be conceptualised as 1 rather than is the number 1, an element of the real numbers. That is to say i_delta behaves in a way similar to what we would expect of 1, i.e. the multiplicative identity element in a monoid structure.
A more interesting and illuminating example would be all binary digit sequences under the AND operator, e.g. an infinite sequence of d = {d_i} for i in N with d_i in {0, 1} such that d*d' is given via (d*d')_i = d_i * d'_i, then the identity is given by d_i = 1 for all i in N. Unfortunately all the examples I've found up to this point are associative, or isomorphic to this digit sequence space or analogous for an appropriate net.
I actually didn't know about the term idempotence which is nice and I'll look more into it, also I already though about the AND operator but the problem is that it works with 1 and 0 so I find it hard to be used in a way to describe a space, and also it doesn't follow completely the rule of i_k*i_k=i_k, given that if you have d=1 and d'=0 then d*d'=0, so it still wouldn't work (it could still be just a special case but there is no mention of it so I would avoid it)
Also for i-delta I was really careful in defying it just as identity for the exact reason you are saying here, especially because here ( fermatslibrary.com/p/e1816fd1 ) is a paper talking about space using a gradient, so is probably needed to get General relativity involved to go in depth about this space
Edit: the link didn't work
I feel the existential dread wash all over me even in mere precence of such high countenings...
bonds nonds is habing a stronk call a bondulence
I EXTREMELY appreciate you covering this
I found this analogue horror a while ago and watched a few of its videos, but it just seemed SO hard to get into, so this explaination and dive helped a lot, and has also made me appreciate the analogue horror much more!
I was the same and decided do a deep dive just for fun, I decided to do this video after I started finding connection with stuff I was studying for uni (statistical mechanics at the time) and my friends said I should do a video about it because I was going insane
Great suggestion because I had a lot of fun doing this, and will do more for sure
"The fumo man" sounds perfectly qualified for a video on math and philosophy
The type of person that you run away from when you listen their name 🔥
@dan_asd after saying it six times
Mathematical Cosmic Horror my favorite topic in Math
8:05 i think he means “the British C” as in the notation "⊆" in set theory. The symbol "⊆" means "is a subset of". The symbol "⊂" means "is a proper subset of". Example. Since all of the members of set A are members of set D, A is a subset of D. Symbolically this is represented as A ⊆ D. Although you make a compelling point at 8:45 about the song and the Russian Connection
I got tunnel visioned on the song and didn't even realized it could also mean just C, it could maybe be a nudge to both things? It would be brilliant from Unhortodox kitten's part
Fascinating! I really struggled to understand the series so if you do more episodes on it that would be awesome
I'll definetely do more, expecially because this video is practically only an introduction to this series, there is a lot more to be said and I still didn't cover some of my favorite things about it, so be expecting more (still will need some time expecially because now I have uni exams)
*Math Wars: Imaginary catastrophe*
"The world is changed
I can feel it in the equations
I can feel it in the graphs
I analyze it in the theories
Much that once was is lost , for now none live to remember it ... "
extremely quality stuff, looking forward to the sequels
It'll take some time but I'll definitely do it, I had a lot of fun doing this video
My brain hurts but it hurts slightly less thanks to you, I appreciate this. It at least makes me able to conceptualize what's happening to some degree, even if I don't understand all of the terminology.
finally someone makes an analog horror about the true horror of the world.... MATH
I understood nothing. Which is funny cuz that is most likely the reason I am not unsettled nor scared
Dw you're gonna shit your pants when you discover division exists
25:06 I mean.. who doesn't?
I too have a strong resentment for math.
i have zero context to this, why touhou fumo survived the OHR EIN SOF, and why
why my comments get deleted, and why you didn't make captions so i can read or hear better your narration
@@Bananappleboy the comment didn't get deleted, and for captions honestly I didn't think about it, i'm gonna make them now
Edit: just added English subtitles
@@Fumo_Manthanks, my fumo man 🌸
cherry blossom from gensokyo
I was randomly recommended the "Existence no longer exists" one a little while ago and thought it was interesting. Didn't look much further into it, though, but I'll take this as my chance to do so.
This analog horror is the epitome of the joke that space horror is just math
Math would be the world for computers and equations would be its life, calculus its physics. -This ,,Life,, will create its own mathematics for mathematic, a limited world is just a reflection in the mirror thru a filter. -Information will understand it is information, matter will understand that it is matter and information.
Nice vid man! I've always wanted to understand the series after coming across unorthodox kitten :D
See channel called "The Fumo Man" talking about a maths based surrealist series, well I'm subscribing before the video is a minute in. ᗜˬᗜ
True Fumo behavior ᗜˬᗜ
Thank you for this video! There were some stuff I was confused with, because of all the advanced math operations, variables, etc. Thanks!
comment because this needs to blow up and this man needs subscribers
glad that theres more ppl taking about this strange math based horror :V
Void Stranger OST is goated
Great video 🙏
The music from Song of Saya!
Video fantastico! Hai molto potenziale ❤
Se posso dare un consiglio: cerca di parlare più lentamente o scandire meglio le parole così che anche gli spettatori internzaionali ti capiscano
Considerando quanto i sottotitoli sono stati utilizzati direi che hai proprio ragione, grazie del feedback
I am here before this dude gets 100k subs.
Even if I only understand like 10% of what's happening, I definitely appreciate the creator's brilliance. Like, I'm sure they're doing some really high brain smart shit here.
Any sufficiently advanced science is indistinguishable from magic and all that, I suppose
Soo... He is interpreting model-00 interpretation 4... Which means we're getting model-00 interpretation 5?
Like, that feels applicable to real life, its mostly just how "dumbed down" it is with interpetation 0 being the truth of the subject and everything else bein increasingly higher attempts at explaining it
Kinda, there is a paper that I've not talked about here that talks about how much something can be "dumbed down" until the information gathered is unusable.
Which is similar to how you do science in real life where you need to be in a certain range of accuracy to the center of the probability curve (usually you need a 95% certainty that your value is correct) and usually the more iterations you go away from the original value the lower your accuracy becomes.
How can there be multiple interpretations if an interpretation is a full understanding of the whole concept? Or am I misunderstanding?
I glossed over it in this video because I'll talk about it in a later video but interpretation simplifies what we are studying until is about to be understood, conceptually i think is similar to l'hopital's rule where using it you simplify a limit until it gives you a clear result. So imagine Interpretation as something similar. Still in a later video i will explain it better, I avoided it here because it would have been confusing without having context in where it can be used
@Fumo_Man ill be honest I have no idea what you just said, but I'm not sure if it's due to my lack of knowledge of that level of math or if it's just my autism making it hard to parse what you're saying. I'll wait for the video where you explain it
@@SpecialInterestShow don't worry about it, also in comments is harder to explain and I used some math concepts to make it easier on myself, in a video I'll try to make it easy to understand for everyone without any prior math knowledge, will be though but I'll try
I saw an explanation of this before, it's crazy
Do you know what nemesis means?
What does "i" represent in the reproduction equation?
it doesn't represent anything physical but an element in a series, at 15:30 I show the series where it appears in. The series simply says to sum every value from i=1 to i=k_1 (meaning every integer, so i=1, i=2, i=3,..., i=k_1-1, i=k_1) I think it doesn't mean that i is higher, considering that it always starts from 1, but that k_1 needs to be higher because is the end of the series, so i needs to become as big as k_1.
Also to consider that these are purely mathematical being, especially Model-00 that is part of the virus that creates Math, so this is most likely just abstract math that is able to describe it without any meaning behind it.
So this is why math is extremely annoying.
we getting out of the hood with this one!
Why can’t my ass be this creative?
if i am not mistaken the Model 01 J 2 is Hummanity … intreptations and understanding though …… is intreptation like sexual reproduction ? and understanding is how complex the genome is ?
Humanity is present in the series, and I can assure you that is not part of any model, the models are self-contained entities that are part of this world.
For interpretation a clear definition is not present, but it can be iterated that is a mathematical tool used to understand the world, is more like something used to simplify what we are seeing until is able to be understood
8:23 0/10 Cosmic Horror Series Britain mentioned disliked, unsubbed, reported
The AI voice they use ruins it.