@paradife-loft​ Recently Posted Something Jokingly Commenting About How The Fact That Hobbits Call

Why do we use the symbol for partial derivatives as the symbol for boundaries of manifolds?

Happy 2025!

I worked like mad to finish this but here it is – some insanely large number of words about the year that was, through the lens of Billy Joel songs with "night" in the title because they are fascinating as all get out.

Interchanges, rambles, and confluences

Sing Us A Song To Night: The Night-time Motif in Billy Joel’s Songwriting

Some reviews are so esoteric or so literal rather than musical in their outlook that they just confuse the issues involved. —Billy Joel, int

Special shoutout to @thebreakfastgenie for helping to infect me with the urge to go even deeper into the old man research.

the world's end memes (1/?)

His Famous Last Words: Billy Joel’s River of Dreams

From the first few chords of “No Man’s Land” to the fade-out at the end of “Famous Last Words”, this album is entirely unlike anything else I’ve ever heard. Heck, it’s unlike Billy Joel. He made a name for himself as the Piano Man—twenty years after that iconic breakout single, he made an album with barely a hint of piano on it and pretty much disappeared so that he could give new musicians a chance to be heard. And he didn’t come back until he had a truly worthwhile song to share.

Now, he’d seen his share of style changes over the years—look at Glass Houses or even The Bridge. But if those albums were a slow shuffle away from his piano-oriented roots, River of Dreams was a flying leap as he traded his trademark baby grand for overdriven guitars. But under this grittier rock sound, it really still feels like a Billy Joel album.

In my mind, no song handles better this fusion of the new sound with Billy’s signature lyrical style and themes than “No Man’s Land”. Despite its obviously rock sound, it is in many ways a thematic successor to The Stranger’s opening track, “Movin’ Out (Anthony’s Song)”. The two songs handle the a very similar sense of disillusionment and uncertainty, as well as the idea that you shouldn’t take what you’re told at face value. To the average listener, this is a shockingly punk rock sentiment to hear from a pop-oriented singer-songwriter, especially as blatant as it is in “No Man’s Land”. But I feel like this theme returning is a wonderful way to close the book on his career as a (probably unintentional) callback.

But that’s just it—this is his final album. He stepped back from music after River of Dreams. This whole album has a sense of finality about it; Billy has always been a storyteller more than just about any songwriter I’ve ever seen, and he seems to have done everything in his power to make his last big story (at least for now) great. For that reason, I find this album thematically akin to Turnstiles. Both deal with moving on and change, though in very different ways. That’s why—to me, anyway—this album seems so fitting as a goodbye. The drastically different styles present here fit and compliment the overall theme of change.

This is all pulled together by the final track, “Famous Last Words”. It’s a slow-paced, easygoing song exploring the prospect of change through the shift from summer into fall, ultimately using this as a metaphor for the end of Billy’s musical career. But it looks to this uncertain future with a feeling of safety and contentment, secure in the knowledge that good things must be somewhere up the road. It’s similar to “Vienna” in that way, as it’s also about accepting the future not with dread but with a willingness to go at your own speed and enjoy the scenery while you’re there.

I’d consider “Famous Last Words” to be among the greatest closing tracks ever—probably topped only by “The Long One” on the Beatles’ Abbey Road. It closes the record with every bit of strength with which “No Man’s Land” opened it, though in an entirely different way. With a track like this as his last true song for so many years, I think “Turn the Lights Back On” wasn’t the perfect single to release; it was the only one that could follow this song in theme, quality, and lyrics. In fact, I would count “Turn the Lights Back On” as almost a coda to River of Dreams because of this.

In the end, though, I think what River of Dreams represents most to me is an artist who wanted to leave a good legacy in terms of his work. From start to finish, it feels like Billy gave this record his all, and I have nothing but respect for any musician who decides to step back when they feel they have nothing left to say at the moment. Not to mention the fact that his decision to stop making new albums every few years most likely gave him time to really buckle down and get to breaking that record for longest residency at Madison Square Garden. Between the aforementioned residency and the clear care and effort put into both River of Dreams and “Turn the Lights Back On”, it seems that Billy Joel has a level of dedication to both his music and his fans that I greatly respect. If he were to make another full-length record, this precedent is enough to show me that it would very likely be a worthwhile one.

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.

My favorite genre of self-portrait is cartoonists being bothered by their characters while trying to draw

Bill Watterson – Calvin and Hobbes (1986)

Hergé – Tintin (1947, Tintin Magazine)

Albert Uderzo – Asterix (the cover of Uderzo l'Irreductible (2018), but originally much older)

Jeff Smith – Bone (1993, Bone Holiday Special)

Walt Kelly – Pogo (1950, Maclean's Magazine)

And a bonus:

Berkeley Breathed – Bloom County

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.

What issues would a Jewish Werewolf face? I mean with a lunar calendar and so many of the holidays near the full moon, they would have to get pretty inventive, just think about sleeping in the succah, or since Yom Kippor is about 4 days from the full moon, it should make things interesting as in most stories weres start to lose control near the full moon.

HMMM! (and thank you for sending me these anons!)

I suspect it depends on what tradition we’re drawing from. Werewolves as a whole are mostly a European thing, although people changing into or communing with animals is pretty much a worldwide myth. 

Some things to think about: If you’re not fully conscious (or not conscious in the same way) when you’re a wolf, are you accountable for any destruction you cause? Does transformation count as work? (Also, if you can’t stop yourself from doing work, you probably aren’t breaking Shabbat..) Can you attend synagogue as a wolf?

 And we do have recorded cases of nice werewolves! In Latvia in 1692, an eighty-year-old man named Thiess confessed to being a werewolf who, with other werewolves, regularly went to Hell three times a year to fight Satan to ensure a good harvest. This would be a great tradition for Sukkot, Shavuot, and Tu B’Shevat, and I propose we all adopt the custom immediately!

#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

Tag yourself I’m Aled’s iPad