announcing ILÚVATAR, my multi-billion dollar company which will specialize in the dismantling of all other idiotically tolkien-named entities, that they shalt see that no theme may be played that hath not its uttermost source in me, nor can any alter the music in my despite
So I may have to take back some of what I was saying!
Oh, maybe I didn’t read far enough in the paper. I was focusing on single-variable functions.
In the simple version, f(1, f(0,x)) = x, so
f(1, f(0,x)) + f(1, f(0,y)) = x + y.
And the simple version can certainly get to any function attainable through the arXiv paper, since it gives you the two ingredient functions (exp and log) used to build the function in the paper.
…as large a number of single-variable real-valued function as you like in a two-variable real function.
So the real variable result is much less surprising (once you think about it) than the Boolean one.
(I feel like I may be yucking some yums by saying this, though…)
Yes! And I think that is *much* more interesting, because you can only encode a finite amount of information in a Boolean function.
But you can encode an uncountably infinite amount of information in a function of a real variable. And the construction I give above shows how you can easily encode…
Asterisk: In this construction you have to replace ln with a function that matches ln on positive values but that is defined everywhere.
The thing is, you can easily set up a 2-variable function that simply encodes any finite number of 1-variable functions…
I think the paper you’re referring doesn’t make this fact clear, and perhaps even obscures it.
bsky.app/profile/ewho...
I just tried again, and it worked!
Screen capture from Rotten Tomatoes, showing the poster for “Law Abiding Citizen” with a tomato rating of 26%.
At least Hegseth is quoting from better movies.
The only occurrences of “diseased temple“ in newspapers dot com prior to the movie’s release, and where “temple” is a noun, are from the early 1900s, and refer to the body of a sick person. Google books find some hits before 2009 in the discussion of head injuries and ailments.
What is it with these guys and their dreams of being cast in an action movie?
Kash Patel today. (Go to the 1:29 mark.)
bsky.app/profile/atru...
Tweet from the verified “FBI Director Kash Patel” account, @FBIDirectorKash, on Jan 22, 2026, that begins: “People ask why I said the old FBI was a diseased temple. “This is what corruption looks like when it thinks no one is watching.”
Kash Patel on X, 1/22/2026:
Kash Patel on the Armstrong Williams show in October 2025, quoted in the Baltimore Sun (10/8/2025 p. A14):
“Maybe it’s because I am dangerous to their fabricated, weaponized system of government. We are going to bring down the entire diseased temple, and they know that I know what happened.”
The movie quote: “I’m gonna pull the whole thing down. I’m gonna bring the whole f-in' diseased, corrupt temple down on your head. It’s gonna be biblical.”
youtu.be/LUsLDzXWUU4?...
Pete Hegseth quotes *Pulp Fiction.* And it looks like Kash Patel has been alluding to 2009’s *Law Abiding Citizen* since at least Oct 2025.
Patel refers to the Biden-era FBI as a “diseased temple.” The same words the amoral criminal mastermind of the movie uses to describe the justice system.
Previous reply with a clip gave an expurgated version. Here’s a clip with the full quote, where you can see the actor’s lips as well.
youtu.be/LUsLDzXWUU4?...
youtu.be/LUsLDzXWUU4?...
Oh, sorry, that seems to be a censored version. Hold on…
(Other sources for the movie quotation say “diseased, corrupt temple.”)
“I’m gonna bring the whole diseased temple down upon your head. It’s gonna be biblical.”
Does everyone in this administration think they’re in a movie?
Not very many hits for “diseased temple” in newspapers dot com. One of them is quoting Patel in 2025. But another is from a review of the 2009 “explo-porn, remote-machine-gun porn, pyro-porn and even lethal-cell-phone porn” movie *Law Abiding Citizen,* which quotes a character as saying:
A text input box containing a partially-obscured iCloud email address. Underneath is a warning in red that says “This email address cannot be subscribed.”
Exciting!
This is unfortunate, though…
bsky.app/profile/ewho...
Oops! Replied accidentally to a reply!
And to justify (and emphasize) his thorough use of explicit references to primary sources:
“No man’s *ipse dixit* is a law in the world of scientific research.”
Great read. Recommended.
It is a fun read! Scholarly and with good references, but it also has allusions to the poetry of Sir Walter Scott and a sense of humor.
“…the imaginative historian mounted his Pegasus and pranced into antiquity for revelations still more startling.”
Here is the work by Florian Cajori that he pulls a lot of this from. It starts with Section 402 on page 15.
archive.org/details/b299...
On top of everything else, they chose this as the company motto? JFC.