What Would Michelle Look Like If She Was An Opinicus Instead Of A Grecian Sphinx?

Today on the blog I start a new project: where do numbers come from?

By which I mean, mathematicians deal with lots of weird kinds of numbers. Real numbers, complex numbers, p-adic numbers, quaternions, surreal numbers, and more. And if you try to describe the more abstract types of "numbers" you sound completely incomprehensible.

But these numbers all come from somewhere. So I'm going to take you through a fictional history of numbers. Not the real history of the actual people who developed these concepts, but the way they could have developed them, cleaned up and organized. So in the end you can see how you, too, could have developed all these seemingly strange and abstract concepts.

This week in part 1, we cover the most sensible numbers. We start with the basic ability to count, and invent negative numbers, fractions, square roots, and more.

But that will still leave some important questions open—like, what is π? So we'll have to come back for that in part 2.

the world's end memes (1/?)

Favorite book round up

#holding out hope the new documentary confirms my theory that 'died in september' refers to the suicide attempts occurring in september 1970

Having it on the record one way or the other would be everything.

The other thing that gets me about the lyrics (and I also put this into my giant Billy Joel essay) is "Unsung songs show my direction" because Walter Everett once compared the song's composition to Henry Mancini and André Propp and in 1971 both of them had just written instrumental songs ("A Time for Us" and "Love is Blue") that went to the top of the charts. So that line is already meta for the likely inspirations behind "Silver Seas" but then he removed the lyrics and added another self-referential layer because now that lyric refers to "Nocturne" itself too.

Once I lived You might remember Born in May Died in September

In Defense of Tolkien’s Mountains

At tor.com, Alex Acks asserts that the mountain ranges of northwestern Middle-earth are geologically implausible. But I think a fair reconstruction of Middle-earth tectonic history can be made. This is a long post, so I’m putting it behind a read-more:

Keep reading

I'm boggled. This isn't the same thing as in the letter, is it?

Thank you so much for the ask!! Good job on spotting the difference!

Posting the letter again for reference:

So you're right, on the rock it reads 張仲仁 (Cheung Chong Yan in standard cantonese romanisation), while on the envelope the name is 張仲文 (Cheung Chong Man). Hergé’s real life Chinese friend is 張充仁 (Cheung Chong Yan), so the romanisation would be the same as the name in your ask. 

HOWEVER, those are just romanisations (which are less accurate but easier for foreigners to pronounce). Their actual pronunciations in cantonese (spoken in Hong Kong) / mandarin (spoken in mainland China including Shanghai) are different:

張充仁 = Tcheung Chong Yun* / Zhang Chongren

張仲文 = Tcheung Tchong Mun / Zhang Zhongwen

張仲仁 = Tcheung Tchong Yun / Zhang Zhongren 

* 'Tch-' is similar to J sound; '-ong' is OW-ng; '-un' as in under

As you can see, there’s a bit of a mix and match. But I think it makes sense to change the first word in his given name into 仲 given that the story says Chang is from HK, because we seldom use 充 in our names (perhaps more common in mainland China, not 100% sure). 

Another fun fact for you on the meanings of those given names~ 

充 = full of

仲 = still be (only in cantonese)

仁 = love for all beings/ benevolence

文 = cultured/ gentle

Both 仁 and 文 are commonly used here across different generations and genders. So I think both translations are pretty nice!!

Also, I just spotted that the stamps in the top right corner are of Queen Elizabeth II and King George VI:

Not so good at maintaining consistency but good attention to detail, I must say :)

After the math pope, we have a math president

From the Wiki page of Nicușor Dan, the new president of Romania:

He won first prizes in the International Mathematical Olympiads in 1987 and 1988 with perfect scores.[3] Dan moved to Bucharest at the age of 18 and began studying mathematics at the University of Bucharest.[4] In 1992, he moved to France to continue studying mathematics: he followed the courses of the École Normale Supérieure, one of the most prestigious French grandes écoles, where he gained a master's degree. In 1998 Dan completed a PhD in mathematics at Paris 13 University, with thesis "Courants de Green et prolongement méromorphe" written under the direction of Christophe Soulé and Daniel Barsky [de].[5][6]

Dan's 1988 gold medal also means he was one of eleven contestants to get full marks on the infamous Problem 6, a question so difficult that nobody on the IMO problem committee could solve it.

His personal website lists his primary area of research as Arakelov geometry, a method of studying Diophantine equations from a geometric point of view.

His thesis, in the same field.

His arXiv.

It’s impossible to give directions in Boston. Nothing makes sense. There are inexplicable one way streets, there are streets that change their names as you move from one area to another. There’s a road in my area where the gps literally tells you to take TWO full right turns to “stay on” the same road which is at a right angle to the original. There’s like four different Massachusetts Avenues. Sometimes you have to be in the left lane to turn right. The gps can’t even get directions to my workplace correct; it tells me to take a left on a road where lefts are not allowed, and the only way to not have to go across the river and take 15 minutes to turn around is to remember this shit one block early and make the left THERE. Recently, they’ve restricted 1 of 2 lanes on each side of major thoroughfares to only allow bikes and buses, and the government officials seemed to genuinely believe that would somehow EASE traffic. Oh and don't try to drive on Memorial Drive on Sundays; they close it for pedestrians. Just because. And when you DO drive on Memorial, there's one exit that will make your gps lose its mind and start chanting random sequences of numbers for four minutes straight. You can't take a Uhaul on Storrow Drive because the bridges that go over it are too short, and every year some doofus college student ignores this rule and proceeds to "get Storrowed" when they shave off the top of the truck on the overpass and get stuck. I-93 turns into I-95 and makes a big circle around the city, so a lot of the time you'll be on I-95 north but driving east or west.

It’s not limited to driving either. The Arlington train station is not in Arlington, it’s in the middle of downtown. Harvard Square is not a square, it’s more like a pentagon. There are four different green line train routes, and they’re labeled B for Boston College, C for Cleveland Circle, D for… Riverside, and E for… Heath Street. The Silver line is listed on the train map but is entirely run on buses which have to be connected and disconnected from power lines every time you go through the route. The Blue line goes to (and I’m not joking) Wonderland. The two red lines are labeled for their southern points: Braintree line goes to Braintree, and the Ashmont line goes to… Mattapan. To be fair, the train itself stops in Ashmont and you continue to Mattapan on a trolley, but that doesn't make it better. South Station and North Station are 1 mile apart and the easiest way to get from one to the other is just to walk it because otherwise you have to travel through 4 or 5 train stops on two different lines. But make sure you memorize the route because there's a good chance your gps will lose signal in the Financial district because it can't get through the buildings. In Boston Commons there are two train stops within line of sight of each other, on the same street, and one of them screams. To get to the trains at Porter Square, you have to ride down escalators 105 feet below street level, or you could just take the 3 flights of stairs totaling 199 steps (presumably because the engineers had something against nice even numbers). The North End is south of East Boston. Castle Island is part of the mainland.

No matter where you're going or how you're getting there, it takes 45 minutes (no wrong turns) or an hour and a half (one wrong turn). It doesn't matter if you're going one stop on a train; it will take 45 minutes. If it's summer, there's a better than 50% chance you'll be in the train car that lost it's AC; if it's winter, you're guaranteed to be in the car where the heat has it up to 80 degrees and the inside of your winter coat will be a sauna. Check the Red Sox schedule before you go south of the river, or you'll be trapped in the waves of baseball fans flooding the streets and days will go by before you're found again. And just... don't go outside on September 1.

If you're thinking that this sounds eldritch as shit, you're right. The entire city is an arcane lock keeping the ghoulies and ghosties from haunting the rest of the nation. We charge it with every "fuck" we utter while we travel our labyrinthine paths and drink our Dunks. You're welcome.

furry cornetto trilogy? furry cornetto trilogy.

shaun’s a ram, ed’s a cow, nicholas is a dog, danny’s a cat, gary’s a lion, king of the jungle ofc, and andy’s a bear 

Wisdom of the creative arts and its significance in life

People sometimes look at me thinking that I’m simply ‘obsessed’ over the creative arts such as stories, characters, art, music, poetry, movies, games (yes I consider them an art form but that’s a story for another time) etc.. I understand why it’s easy to believe that I have characters on my wallpaper ‘just because’ I like them. There is nothing wrong with admiring characters simply because they’re cool or enjoy stories because they bring you joy. However, what frustrates me is how often people overlook WHY people like me care about the creative arts, and how easy it is that others undermine the deeper value and insights we gain from these stories, these characters, and the more abstract arts.

Creative art forms are often a microcosm of the world filled with the creator(s)’s own soul(s), coloured with the reflections of humanity - a beautiful, yet sometimes horrifying mosaic of our dreams, our nightmares, and our nature. It expresses what cannot be easily conveyed or rationalised. It is a form of wisdom meant to be felt viscerally and experienced, a unique form of communication that transcends time, diversity and logic. Just like other forms of knowledge and wisdom, this too, requires practice and learning to fully appreciate and grasp. However, unlike other disciplines, the creative arts is perhaps the most versatile due to its nature, with some of the greatest pieces bearing the capability of creating waves amongst people by touching their hearts and by caressing what makes us human.

For those of us who lack guidance and support in life, the creative art forms such as books, art, music and even games can help enlighten and educate us when others can’t. Yes, fiction is fiction, and non-fiction may be filled with biases or flawed views, but it can still be a lighthouse for those who seek light, and an anchor to those who are lost wandering about. There is much to gain, be it empathy, open mindedness, soft knowledge, resilience, discipline etc. from these creative art forms. It can encourage others to learn how to develop critical thinking skills, and to develop their own opinions and perspectives after digesting various truths and angles of the world. Of course, it is important to separate fiction from reality, and understand what can be applied in the real world, and what cannot. But the protection and guidance it brings cannot be undermined. As someone who sought solace in literature, music, art, dance, poetry etc. they have each formed a big part of who I am, and in shaping the values, principles, priorities, choices and ideals I hold in life. I have also gained numerous advice, mindsets and encouragement from them as I tackle the challenges of life. I found comfort in the creator’s message - in their embrace, in their message to me, in their experiences. I also found companionship in their arms, in knowing that I wasn’t alone in thinking certain ways, in feeling certain emotions, in hoping for certain ideals, in fearing various demons. It also inspired me to see how much effort creators put in their works to accurately convey their insightful thoughts, feelings and messages. How could I go through books, listen to music, look at art, without allowing myself the privilege and honour to thoroughly go through these works that are soaked in the blood, sweat and tears of the creators? Call people like us obsessed for spending time to dismantle these works, but it is through effort in understanding these arts, in creating these arts, that we can slowly gain wisdom from them.

There is nothing wrong in enjoying the creative arts as they are, without breaking them down into pieces to digest its value and wisdom, and applying it to your life. I often find myself using the creative arts as an outlet to escape reality and to express myself, but the wisdom of the arts is too often overlooked for the other disciplines. It saddens and frustrates me to see people think of art as a simple thing, that there is nothing to be gained out of art. But tell me, if there really is nothing to be gained in the creative arts - why has it lasted this long? Why can people still shed tears, or laugh in joy, when faced with these beautiful art forms? Why should there be this rigid hierarchy in disciplines where certain knowledge rank higher than others? Isn’t life too complex to be held onto such a strict standard where certain ‘skills’ and ‘knowledge’ are said to be ‘closer to truth’, and ‘closer to wisdom’ than others?

Is it not a form of wisdom itself to express one’s complex emotions with such clarity? To convey a message so powerful that these pieces would get banned? To spark a flame that would move a society? To become a mirror that reflects humanity better than any logic or science can convey? How can we easily overlook the effort, the time, and the skills it took, to create such complex and beautiful pieces that can move us in ways others can’t?

Of course, perhaps like the others, I sound ‘obsessed’, but I believe that as long as these creative art forms don’t interfere with the quality of one’s life, as long as your own unique balance is formed in enjoying the arts and in gaining the right wisdom for your real life, I think that’s the best gift the creative arts can offer someone.

Perhaps there are others that rely too much on the creative arts, those who become addicted, who make it their whole life - but in those cases, what are the chances that it is the creative arts that are their last thread to life? Their last anchor, their last hope, their last salvation amongst the chaos of this world? (Cough *Kim Dokja*) Is it so wrong to hold on to something that will help you take another breath, to be brave enough to live through another day, to give you hope when you see none? (Okay, that’s another tangent and gray area of discussion for another time) Of course, art is not salvation, but perhaps it may be enough to prolong someone’s sanity or life, before they can seek the help they need. Then, there are those few geniuses, those ‘lunatics’ as called by others - perhaps to them, they are willing to pay the price of becoming one with their art, compared to sacrificing their overwhelming love for the arts for a life in reality. But I can’t say much about that, as I’m not them. Then there’s also this notion of ‘balance’ that everyone preaches, to balance time in your dreams, in your clouds, in your stories vs. Reality. But that’s a tough discussion to navigate, as everyone has a different balance that suits their life, temperament, values, priorities and circumstances. 

I’d like to end with this quote from Honkai Star Rail

‘When it comes to gaming, things like race, lineage, allegiance, destiny, beliefs… they’re all insignificant. It’s good to remember that.’

Of course, the reality is more nuanced than that. Our race, lineage, allegiance, beliefs and environment influences us and hence, shapes the things we create. However, the result of these works, be it games, literature, music etc. can affect anyone, regardless of these things that separate us. It is often used to unite us, and enable us to communicate with one another in spite of these differences. It can even transcend time! Why do you think certain books have either been promoted or banned in the past? Why have certain artworks been criticised so heavily or enjoyed? Why have certain music been roughly casted away in shadows or promoted?

Anyways, I’m running out of steam. But coming back to the beginning, when I say that I have characters on my wallpapers, or carry stickers or keychains of them, I carry them with me because they remind me of values and principles I wish to uphold in life, they remind me of my ideals and encourage me by giving me strength. They remind me of our hopes, our despair, and most importantly - our resilience and strength. Yes I like them, but in much deeper ways than most people assume. I carry reminders of how I’d like to live my life, and of wisdom I’ve gained through these stories and arts. I take what I can apply to real life, and I take reality to see what influenced creators to create what they’ve created. 

Perhaps one day I’ll make a post about why I have certain characters on my wallpaper (my phone is on photo shuffle - it makes me happy to see different characters on my wallpaper). I also have certain music I hold dear to me, lyrics I have analysed, plays I love, poetry I enjoy, all for various reasons, and all of which I’ve put in energy to understand and apply in my life.

Anyways, thanks for reading my ramblings. I did not expect to write this much. I was explaining to someone recently about why I have wallpapers on my phone and it led me to yap to them about this topic, and I thought, why not write about it? This, alongside the issues with AI art influenced me to talk about this. I might post another one like this later that’s better written and thoroughly read through, since this was written in one sitting within the span of ~1 hour right before I go to sleep. I’m currently sleep deprived and exhausted from running certain errands and work today. Not sure if this will make sense to everyone, but I hope my sentiments come across, and I truly do wish others feel the same way I do. I cradle the arts with such intensity and warmth every day, and it is an important fuel that sparks the flame within me and gives me light in the form of wisdom and hope.

Edit: Just wanted to add, some people might say characters and art is all about perception and subjective. While that is a good point as there are definitely people who don’t see the value in other art forms or have the same perspective on them as I do + the fact that there are many valid and rational reasons why it is overlooked, but it still is true that the creative art forms we take in and learn influence the way we express ourselves and ideas. It is also all around us in photographs, news articles, blogs, YouTube, posts, TikTok, social media, or opinion articles (language can be loaded and biased), or in the music we listen to the daily, religious music, cultural music, Ads, memes, shows etc. There is perception, and how we ‘view’ the creative arts, and there is also a certain amount of truth that art can impact reality and people no matter how much we ‘value’ or ‘perceive’ it. I just feel like there’s a big gap between how we view art vs. how much it actually impacts us and our reality.

Of course, art is often more of a luxury, and with the state of the world and various circumstances, it is understandable it is overlooked. I’m just a little frustrated at this ‘gap’ in how we perceive art as a society vs. How much it ACTUALLY impacts us and influences us without us knowing. Our own perspective of how important something is and how much we ‘think’ it impacts us doesn’t always correlate to the truth of how significant something is, and how much the creative arts are actually involved in our lives. They influence a lot of things that we don’t perceive. They’re just not in a typical ‘creative’ or ‘abstract’ ‘art form’ that we think they exist in.

Wisdom and truth remains, even if we don’t ‘perceive’ it or ‘value’ it, no matter what form it comes in.