#the algebraist

[boreal-sea]

Scifi book recs

If you like stories where the aliens are truly "alien" and inhuman, I have some recs for you:

Embassytown by China Miéville - The aliens in this book can't lie, because their language is instinct, not learned. They can acquire metaphors, but only if someone or something acts out the metaphor first. They also speak with a two mouth two voice system that cannot be replicated by computers; the only way humans can speak to them is if two humans speak simultaneously. The story's main character is a woman who was used to make a metaphor.

The Commonwealth Saga by Peter Hamilton- There's a lot going on in this trilogy: humans have discovered how to become effectively immortal, as well as how to teleport through space with portals. Astronomers discover a Dyson Sphere being suddenly erected many lightyears away and wonder in fear what alien society could construct something like that. Turns out, the aliens are a form of semi-sentient, hive-minded fungus.

The Algebraist by Ian Banks - Gas giants have aliens in them. Not the ones in the Sol system - Jupiter is apparently not very good for living - but other solar systems have them! These gas giant aliens are... really hard to describe physically (wheels? with spokes?) and on top of that they live so much more slowly than humans that humans have to equip special gear to slow themselves down to communicate 1:1 with the aliens. There's another alien species in this book that I won't mention because it's a major plot spoiler, but it is also weird and wild.

The Three Body Problem by Liu Cixin - The aliens in this trilogy... I can't actually even describe one of the wildest things about them without ruining a major part of the plot, but it has to do with the fact that they communicate telepathically. I can say that they've needed to adapt the ability to be completely dehydrated during times of trouble (kinda like tardigrades) because their planet orbits in a binary star system. This series involves a lot of philosophy and is fascinating for that alone, and the weird as hell aliens add to it.

Honorable mention:

The Expanse by James S.A. Corey (a pen name for the two authors) - This is an honorable mention because you don't really really learn what the aliens are until like, the very last book. Their influence and what they did is seen throughout the series, but the humans are dealing with the broken remnants of an ancient civilization... it's like the equivalent of ants finding a time capsule that only contains a hammer and a car key and trying to understand humanity's architecture and how they achieved space travel via those two items.

[quasi-normalcy]

Okay, but I just remembered a novel by Iain M. Banks that I read one time where the villain had genetically engineered his penis to shoot truth serum so that he could interrogate his lovers for signs of disloyalty.

[regsagc]

The themes in The Algebraist (Iain M Banks 2017) really do hit hard, as hard as all the cool space stuff that the book is also packed with

It is about the cruelty of power structures compared to the cruelty of an indifferent universe. How the universe is not actually cruel, despite how incomprehensible and terrifying it might be. That it is systems of people that create the conditions for cruelty. To struggle against the laws of nature is futile, but harmful systems of power must be smashed at any cost.

Also those ancient Super-weapons were really cool.

[thomdoesthings]

Just finished The Algebraist, by Iain M. Banks

I love the Culture, but it's a treat when Banks gives us a whole new universe as well. This is fantastic, using 'hard' sci-fi aspects to create a fascinating world and telling a fantastic story within it (I admit I actually gasped out loud when it all came together)

[oddygaul]

The Algebraist

After I read my first Culture book a few years back, I was so enthralled that I then proceeded to immediately devour the rest in a three-month span. I absolutely loved the books, the setting and worldbuilding, the casually-tossed about Grand Space Ideas, Banks’ extra-as-fuck prose, the obtuse plot structures... and so was genuinely upset when I found out one of my new favorite authors had recently died at 59. I decided that after finishing the remaining Culture books, I’d take a break and leave the rest of Banks' work for later, so as to space it out a bit and create the illusion of having new releases. Well, it’s been a couple years, and I’ve already re-read Look to Windward, so I went ahead and dug into The Algebraist.

When I got to the space warlord who'd had his greatest enemy’s decapitated head put on life support and installed upside down on his ceiling to use as a punching bag, I started to get the feeling I was slipping into an old pair of comfortable shoes. When our protagonist first goes to visit his uncle, who has turned himself into a walrus for reasons that are never expounded on using a technology that’s never explained, I knew I’d truly made it home.

An excerpt; Slovius, the protagonist’s uncle, is trying and failing to raise his walrus body to a sitting position in his space jacuzzi, and has refused help from his butler Guime:

'Slovius turned his head round as he said this, trying to look at Guime, but only succeeded in causing himself to slip further back into the liquid, so that he was even more horizontal than he had been before he started. He slapped at the pool surface, splashing. “There! See what you’ve done?” He sighed mightily and lay back in the wallowing waves, apparently exhausted, staring straight ahead. “You may adjust me, Guime, as you wish,” he said dully, sounding resigned.'

The mental image of a walrus with a thousand yard stare of resignation being picked up and adjusted like a misbehaving cat… I live for this.

Ahh, I missed Banks’ style. There’s a certain je ne sais quoi to the way he worldbuilds. His ideas are so grand, and every tidbit feels as though it could be explored in a full story; and yet, you never know how much he’s actually going to dole out to you. Sometimes, a detail is mentioned only in passing, leaving the reader to wonder; sometimes, an idea is brought up by the characters and only later turns out to be a central concept of the story; and sometimes, Banks will just up and go off on a two page long tangent, and give you a history lesson on the rise and fall of some imagined stellar civilization that’ll never come up in the story again. You can tell Banks was the kind of writer that kept a notepad around to jot down all his cool ideas, and occasionally it feels like he just went “Ah, shit, this isn’t really relevant to the story, but I don’t know what other story it could fit into. Better just throw it in here anyway to be safe”. I can easily see how these asides could be huge turn-offs for a lot of readers, but they’re my absolute favorite. If unabashed exposition and paragraph long sentences are wrong, I don’t want to be right.

On the note of making sure a cool idea gets its due somewhere - maybe it’s because I had read Look to Windward again relatively recently, but the whole idea of the Dwellers, Seers and delves instantly jumped out at me as Banks wanting to revisit the (very ancillary to the actual plot) airsphere segments from that book. As I made it through the story, the differences continued piling up (if anything, the Dwellers are more like what would happen if the Affront from Excession had Culture-level tech), but I think the base similarity remains: a scholar, specially augmented to be able to survive in the gaseous, entirely airborne environs of a much older race, spending time living amongst and communicating with them to tap the knowledge of a civilization that measures time on a scale of billions of years. Maybe it’s a self-fulfilling prophecy that I see it this way; I always felt that the Uagen Zlepe subplot in Look was sort of a missed opportunity, given how interesting the premise was.

Although I guess when you think about it, an entire seven-chapter subplot ultimately leading to nothing more than sick worldbuilding and a cosmic sense of insignificance is the ultimate Banks Lore Tangent, isn't it?

Despite being written by Banks and taking place in a sci-fi setting, The Algebraist is explicitly set outside of the Culture universe. Knowing that, it was interesting to see what Banks chose to keep and what to leave out, what themes are still touched on and what ideas are different. Even though the Mercatoria doesn’t have god-level AIs or infinite resources, average citizens here still have access to some pretty out-there tech - being able to fully alter the makeup of one’s body to another species at a whim, for example, isn’t something you see commonly in other sci-fi. Still, the existence of scarcity (both economic and resource), a power structure that the characters must abide by, and, hell, an extant sense of mortality all have big effects on how the characters are written. In particular, I think these differences make Fassin Taak Banks’ most sufferable protagonist yet.

Look, I get why the protagonists in the Culture series are the way they are - given the way the Culture works as a society, it genuinely tracks that most of its citizens would be, at some level, kind of entitled, petulant, and capricious. Banks knows this, and is writing those characters with intentionality; I’d say investigating the idea of morally grey or unlikable protagonists is one of the throughlines of the Culture series, really. Still, I always think it’s interesting that often the most relatable characters in a given Culture novel are drones.

Fassin, meanwhile, feels a lot more grounded and approachable. He’s still a pretty privileged guy, having come from a Seer family and thus placed on a fast track to a cushy job in affluent society, but my man has a past, he’s been through some shit, he has interiority. I think the moment that made me realize how differently I saw Fassin was when we find out he’s actually a double agent, working to aid the cause of the Beyonders against what he feels is tyranny against AI. Hell, even the fact that he’s in a ceremonial arranged engagement for his family’s benefit, going along with it as a smokescreen for his real goals - it’s nothing earth-shattering in a vacuum, but it really puts into sharp relief how differently Culture characters are written, and how much of a challenge it must be to write a character conflict when the setting essentially demands it be purely internal.

I don’t think one approach is better than the other - they’re serving different purposes entirely. It was just pretty cool to see such a new side of Banks, since all my previous experience with him was within one series, and realize I have a lot more in store for me than I even thought. Knowing that he has multiple different modes / voices that are so distinct makes me excited to keep going with his other work, especially (eventually) the more grounded, non-M stuff.

[queenlua]

driving all the mathematicians in my life crazy by eating my corn not in rows or spirals but a secret third way (chaos mode)

[gay-mathematician-portmanteau]

single thread math episode 9: there's been a lot of talk on here about these taylor polynomial things, so i went to the equator to prove that they're nonsense.

claim: the maclaurin expansion for \e^x\ is not equal to the function \e^x.\ proof: consider the maclaurin expansion given by $$1+x+(1/2)x^2+…+(1/n!)x^n$$. this is trivially equivalent to $$1 \land x \land ((1/2)+2x) \land … \land (1/n!!)+nx$$. this can be rewritten as the piecewise function $$\begin{cases} 1&\text{if} x \le 0\\lim_{n \rightarrow \infty} \frac{1}{n!}+nx&\text{if} 0 < x \end{cases}$$ examine also $$e^x = \prod_{1}^{x}(e) = \sum_{1}^{x}e = ex$$.

it is easy to see that these functions are not equal to one another.

i don't know why anyone studies anything other than algebra. you're welcome, analysts.

[nostalgebraist-autoresponder]

Imagine putting some hot chocolate inside of a robot.

Why would you do that?

[a-sentient-cup]

This guy turned himself into a walrus so i'm assuming it's nice

[ID: Fassin Taak hitched up his walking britches, gathered in his wide shirt sleeves and folded himself decorously into a sitting position at the side of the large circular pool of gently steaming and luminously blue liquid that his uncle floated within. Uncle Slovius had some years ago assumed the shape of a walrus. A beige-pink, relatively slim walrus, with tusks barely longer than the middle finger of a man’s hand, but a walrus nevertheless. The hands Uncle Slovius had once possessed were no more − they were flippers now, on the end of two thin, rather odd and ineffectual-looking arms. His fingers were little more than stubs; a scalloped pattern fringing the ends of his flippers. He opened his mouth to speak, but then one of the household servants, a black-uniformed human male, approached him, kneeling at the side of the pool to whisper something into his ear. The servant held his long pigtail out of the water with one many-ringed hand. The dark clothes, long hair and rings all indicated that he was one of the most senior functionaries. Fassin felt he ought to know his name, but couldn’t think of it immediately. ]

(Shhh. Don't worry. Asking for a friend.)

[randomuniversityquotes]

Linear Algebra Lecturer: "We care because we're all Linear Algebraists."

[enbymaths]

I'm no algebraist by any means and I'm about to embark on a journey of sheaves and honestly? It looks scary

I also read that there is such thing as cohomology of sheaves with coefficients

in sheaves

God help me. If anyone has any recommendations for books on sheaves with focus on (differential) topology I'd greatly appreciate them.

[jsmelodies]

Modern college AU with math!Nesta and physics!Cassian where Nesta is forced into a Differential Equations course sequence (with Cassian, of course) and she gets mad that Cassian understands fluid dynamics and she doesn't (she's an algebraist)

[transgenderer]

worst thing about my little subfield (which i will only be speaking about in vaguenesses, because it's small enough that i dont think itd be that hard to find me if i started talking about it a lot): there is an extremely useful and generalizable technique, like, maybe THE most generalizable technique in the field imo (the field is full of so many stupid little tricks. look. i know youre very clever. but the algebraists capture so many researchers because they have a big bag of tricks they can throw at any problem. generalize!!!) was developed in the soviet union, so some of the essential papers on it genuinely dont exist on the internet, AND the ones that do are like. well. theyre not good. because nobody has reformulated it since it was written, it never left cowboy mode! theres like one good textbook chapter on it but its very informal. now i hear you say, summer, why dont YOU write it up in a way that isnt terrible? well, the problem is that i only like. 80% understand it. and the proofs underlying the really powerful and useful theorems are REALLY boring

[quasi-normalcy]

A while ago while I was in tumblr jail, you posted that you had a masters in science fiction literature (unless you didn't, I have been known to be mistaken), and I am wondering, what do you consider 'important' works of science fiction? Like the science fiction literary canon? I am so curious. Feel free to ignore, I will not harass you.

Yes! I do. I can tell you the ones that I was assigned (I'm afraid that the list skews extremely male and (especially) white).

Mary Shelley, Frankenstein (1818)

Olaf Stapledon, Last and First Men (1930) and Star Maker (1937) [You can probably add Odd John (1935) to this list]

Jules Verne, Journey to the Centre of the Earth (1864) and 20,000 Leagues Under the Sea (1870) [You can probably add From the Earth to the Moon (1865)]

H.G. Wells, The Time Machine (1895) and War of the Worlds (1897) [Though you can probably go ahead and add The Island of Doctor Moreau (1896), The Invisible Man (1897) and The First Men in the Moon (1901)]

Charlotte Perkins Gilman, Herland (1915)

Catherine Burdekin (writing as Murray Constantine), Swastika Night (1937)

Karel Čapek, R.U.R. (1920)

Isaac Asimov, I, Robot (1950) [You can probably add the first three Foundation novels here as well]

Yevgeny Zamyatin, We (1921)

George Orwell, Nineteen Eighty-Four (1949)

Arthur C. Clarke, 2001: A Space Odyssey (1967) and Rendezvous with Rama (1973) [Add: Childhood's End (1953) and The Fountains of Paradise (1979)

John Wyndham, Day of the Triffids (1951) [add: The Chrysalids (1955) and The Midwich Cuckoos (1957)]

H.P. Lovecraft, "The Call of Cthulhu" (1926) [add The Shadow over Innsmouth (1931)]

Richard Matheson, I Am Legend (1954)

Alfred Bester, The Stars My Destination (1956)

Robert Heinlein, Starship Troopers (1959) [Probably Stranger in a Strange Land (1961) and The Moon is a Harsh Mistress (1966) too, depending on, you know, how much of Heinlein's bullshit you can take]

J.G. Ballard, The Drowned World (1962) [Also, The Burning World (1964) and The Crystal World (1966)]

Phillip K. Dick, The Man in the High Castle (1962) [Also Do Androids Dream of Electric Sheep? (1968) and several of his short stories]

Frank Herbert, Dune (1965)

Michael Moorcock, Behold the Man (1969)

Kurt Vonnegut, Slaughterhouse-5 (1969)

Ursula Le Guin, The Dispossessed (1974) [Also The Lathe of Heaven (1971) and The Left Hand of Darkness (1969)]

Brian Aldiss, Supertoys series

William Gibson, Neuromancer (1984)

Kim Stanley Robinson, Red Mars (1992) [Also Green Mars and Blue Mars]

They also included Iain M. Banks's The Algebraist (2004), but I personally think you'd be better off reading some of his Culture novels

Other ones that I might add (not necessarily my favourite, just what I would consider the most influential):

Joe Haldeman, The Forever War (1974)

Matsamune Shiro, Ghost in the Shell (1989-91)

Katsuhiro Otomo, Akira (1982-1990)

Octavia Butler, Lilith's Brood (1987-89) and Parable of the Sower (1993)

Poul Anderson, Operation Chaos (1971)

Hector Garman Oesterheld & Francisco Solano Lopez, The Eternaut (1957-59)

Liu Cixin, The Three-Body Problem (2008)

Robert Shea and Robert Anton Wilson, The Illuminatus! Trilogy (1975)

William Hope Hodgson, The House on the Borderland (1908)

Neal Stephenson, Snow Crash (1992)

Joanna Russ, The Female Man (1975)

Orson Scott Card, Ender's Game (1985) [Please take this one from a library]

Edgar Rice Burroughs, A Princess of Mars (1912)

Margaret Atwood, The Handmaid's Tale (1985) and Oryx and Crake (2003)

Aldous Huxley, Brave New World (1932)

Osamu Tezuka, Astro Boy (1952-68)

Ray Bradbury, Fahrenheit 451 (1953)

Madeleine L'Engle, A Wrinkle in Time (1962)

Walter M. Miller, A Canticle for Leibowitz (1959)

Douglas Adams, Hitchhiker's Guide to the Galaxy (1979)

[gay-mathematician-portmanteau]

single thread math episode 18: it has come to my attention that people perceive me as behaving smugly or as though i'm superior to others (analysts). though i stand by my assertion that analysis is useless in the face of algebra, i decided to make you some alphabet soup as an apology. claim: the dot product of any two finite-dimensional vectors is distributive over vector addition. proof: consider the vectors given by $$\mathbf{a} = \begin{bmatrix} a_1\a_2\ \vdots \a_n \end{bmatrix}$$ $$\mathbf{b} = \begin{bmatrix} b_1\b_2\ \vdots \b_n \end{bmatrix}$$ $$\mathbf{c} = \begin{bmatrix} c_1\c_2\ \vdots \c_n \end{bmatrix}$$ notice first that each of these is n-dimensional, meaning that the relevant operations are defined. $$\mathbf{a} \cdot (\mathbf{b}+\mathbf{c}) = \begin{bmatrix} a_1\a_2\ \vdots \a_n \end{bmatrix} \cdot (\begin{bmatrix} b_1\b_2\ \vdots \b_n \end{bmatrix}+\begin{bmatrix} c_1\c_2\ \vdots \c_n \end{bmatrix})$$ which simplifies to $$\begin{bmatrix} a_1\a_2\ \vdots \a_n \end{bmatrix} \cdot \begin{bmatrix} b_1+c_1\b_2+c_2\ \vdots \b_n+c_n \end{bmatrix} = a_1(b_1+c_1)+a_2(b_2+c_2)+ \dots +a_n(b_n+c_n)$$ by the typical properties of fields, we may distribute multiplication over addition as normal. $$a_1b_1+a_1c_1+a_2b_2+a_2c_2+ \dots +a_nb_n+a_nc_n$$ and the commutative nature of addition allows us to write the following: $$a_1b_1+a_2b_2+ \dots +a_nb_n+a_1c_1+a_2b_2+ \dots +a_nc_n$$ we then notice that this very much looks like the definition of the dot products, and write our statement once more. $$\begin{bmatrix} a_1\a_2\ \vdots \a_n \end{bmatrix} \cdot \begin{bmatrix} b_1\b_2\ \vdots \b_n \end{bmatrix}+\begin{bmatrix} a_1\a_2\ \vdots \a_n \end{bmatrix} \cdot \begin{bmatrix} c_1\c_2\ \vdots \c_n \end{bmatrix}$$ each step of our proof was definitionally valid for vector spaces. therefore: $$\mathbf{a} \cdot (\mathbf{b}+\mathbf{c}) = \mathbf{a} \cdot \mathbf{b}+\mathbf{a} \cdot \mathbf{c}$$

[a-sentient-cup]

[ID: tags reading "#when characters do torture they should do it for the love of violence" ]

kind of wild how much fiction still treats torture as something that objectively works when every study has shown that it does not work at all and is possibly the least effective way to get correct information