#I may have made up the term

[endofunktor]

All numbers are imaginary. Some are useful.

So, @lipshits-continuous (I like your blog very much!) was bringing to my attention someone who was, let's say, a little frustrated about having to learn "imaginary numbers". You know. They're not even real.

I don't want to write about that person specifically, I don't know them at all.

But.

My siblings in crisis.

There are no "real" numbers in this world. The act of counting is already an abstraction. If you have an apple and a pear, then counting them as two pieces of fruit is an act of forgetting all the properties that distinguish them and remembering only those that unite them. Same goes for two apples of course.

So the number 2 is already entirely imaginary. Made up. Nonsense.

This gets worse very quickly, by the way. You can't have negative apples! Sure, you can have positive fractions of apples, but I can assure you: Two halves of an apple do rarely make one apple, except when they are the two halves of the same apple. And even then: Having them cut up makes it impossible to rejoin them. Think about that.

Now you know where this is going, because let's talk about the so-called ""real"" numbers. Nasty little things. Have a look at the irrational numbers. First, there are comparatively tame irrationals: Algebraic numbers. These arise as roots of integer polynomials. You know, like our favorite, the square root of 2, the positive zero of X^2 - 2.

Did you know that the Pythagoreans believed that everything was in integer relation to each other. (For example: the lengths of a rectangular triangle could be 3-4-5, meanging one cathetus is 4/5, the other 3/5 the length of the hypotenuse.) And that when someone found out that sqrt(2) was indeed not in integer relation to, say, 1, they had him murdered? That didn't change the fact that they were wrong though. (This story is not true, of course, like all good stories. You could say: it is imaginary, but nonetheless an interesting tale to tell!)

And now, the non-algebraic, so called transcendent numbers. Like pi. We know (the abstract concept of) pi well enough to calculate the circumference of the observable universe up to the accuracy of a neutrino (or so they say, I'm not a physicist). We don't have to know it any better. We could quit at however many digits we know and that would be pi. Perfectly rational. Because if we are looking for """real""" numbers only, why should we ever even concern ourself with those nasty things?

Did you know that transcendent numbers make the vast majority of real line? Of course you do! Rationals are countable, integer polynomials are countable and thus are their roots. The real line is famously uncountable, so must be the transcendent numbers.

So. Our so called """"real"""" numbers are mostly non-precisely calculable numbers. (Arbitrarily precise, but not precise.)

Do you know what kind of numbers are used in electrical engineering? Me neither because I'm not an electrical engineer. That's right, complex numbers! Actual engineers have to actually work with the actually imaginary square roots of negative one.

Maybe Numbers aren't a thing of this world.

Maybe Abstraction is a thing of our worldview.

And maybe we can learn to cherish abstract math the way we learn to cherish abstract art: Not always a true representation of reality, but a thing of interest and beauty in itself.

[rheakira]

Today, May 23rd, is Robin's birthday!

Happy birthday, Robin!

[sprinklersart]

they should show up to kazansky family events together occasionally over the years and do fun family things like share an air mattress in the living room with ices 19 year old cousin and take a 4 hour trip to the grocery store just for milk and chainsmoke behind the shed with ice’s sister. they deserve it ❤️

[empty-blog-for-lurking]

You all have no idea how obsessed i am with "Quintessence can turn humans into eldritch horrors" yall have no idea

[softerhaze]

idk if it was the venus retrograde or what, but july 2023 was quite literally the worst month i've ever experienced in my life like.....every single day? awful? worse than the last? it's more likely than u think

[akkivee]

but i mean if kr can do it, then i-

[anthromimicry]

[lusalemaart]

[teacup-captor]

Systems and normal people: We support trauma survivors

"Endogenic" systems and their supporters: Even if we romanticize being a system, steal resources from actually disabled people while claiming to have the same disorders as them and then becoming the biggest hypocrites ever by claiming to not have these same disorders moments later while still stealing their resources and terms?

Systems and normal people: What. What, no, that's like really ableist- also why are you encouraging people to not heal from their trauma by denying it's there and feeding into their denial, which is a huge part of the complicated disorders we're dealing with?!!

"Endogenic" systems and their supporters: OH. OH WE SEE HOW IT IS. SO YOU DON'T SUPPORT TRAUMA SURVIVORS. AND YOU'RE BEING ABLEIST TOWARDS US BECAUSE WE'RE DIFFERENT!!!!

[wonder-worker]

are there any books you'd recommend for Isabelle of Angouleme?

Hi! I’m really not an expert on Isabella of Angouleme so I'm probably not the best person to ask for recommendations for her. Here are some I've heard of, though I haven't read all of them:

"Isabella of Angouleme: John's Jezebel" by Nicholas Vincent (King John: New Interpretations). I haven't read it myself but I've heard good things!

“Maternal Abandonment and Surrogate Caregivers: Isabella of Angoulême and Her Children by King John” by Louise J. Wilkinson (Virtuous or Villainess? The Image of the Royal Mother from the Early Medieval to the Early Modern Era). It focuses more-so on Isabella's tenure as queen, the period shortly after John's death, and her decision to leave England. Despite what the title may imply, it's sympathetic to Isabella and analyzes her situation in detail.

“Co-Operation, Co-Rulership and Competition: Queenship in the Angevin Domains 1135-1230” by Gabrielle Storey, her PHD thesis which collectively focuses on Isabella of Angouleme along with Empress Matilda, Eleanor of Aquitaine, and Berengaria of Navarre. You can read/download it here, it's an excellent piece for all four women.

Sally Spong has written/is writing:

Isabella of Angouleme: The Vanished Queen (Norman to Early Plantagenet Consorts). You can see her conclusion here. It's nuanced and sympathetic, though not without its issues and pre-conceived notions.

Isabella of Gloucester and Isabella of Angouleme: Female Lordship, Queenship, Power, and Authority 1189-1220 (PHD thesis University of East Anglia).

“Isabelle d’Angouleme, By the Grace of God, Queen” by William Chester Jordan. You can read it online here, though I will say that it's ... very very questionable, accepting the sensational claims of lot of unreliable sources (including the idea of John abducting Isabella in a fit of uncontrollable infatuation) entirely at face-value.

“The Marriage and Coronation of Isabelle of Angouleme” by H.G. Richardson, available here on JSTOR.

Isabella has also been the subject of two complete French biographies till date:

"Isabelle d’Angoulême, reine d’Angleterre" (Aquitaine: 1998) by Sophie Fougere.

"Isabelle d’Angoulême, comtesse-reine et son temps (1186-1246)" [Actes du colloque tenu à Lusignan, 8 au 10 novembre 1996] by Gabriel Biancotto, Robert Favreau and Piotr Skubiszewski.

There are also a few blog posts about her (here and here) which may help if you want a brief overview of her life, though they can get a little sensationalistic sometimes.

Hope this helps! If anyone knows any others, please feel free to add on!

[sylphwing]

oh yeah here's all of the yakuza 0 / kiwami 1 & 2 characters as pokémon ✌️

[vivitalks]

settle a debate between me and my roommate

(whatever your vote please explain your answers)

[pinkfey]

is this a safe space

[cassandracain52]

My shipping guide for the Batfam fandom because some of these ships are getting out of hand

(This post goes out to the person who told me they legitimately didn’t know Tim and Jason were brothers and thought they were a canon couple🤢)

Acceptable/non-incest/legal ships:

Tim and Stephanie, Barbara and Dick, Bruce and Selena, Bruce and Talia, Basically Any Pairing That Is Not Adopted Relative/Adopted Relative or Child/Not Child Is Ok It's Not Rocket Science, Dick and Kori

Incest/Batcest ships:

Jason and Tim, Dick and Jason, Tim and Damian, Jason and Cass, Dick and Cass, Tim and Cass, Bruce and any of his children that is their FATHER, Bruce and Alfred, Bruce and Kate, Mari and Damian

Ships that should be illegal/personally give me the ick:

Barbara and Bruce, Jason and Barbara, Tim and Barbara, Duke and Cass, Jason and Talia

Ships that are a whole ass felony:

Dick and Damian, Damian and Stephanie, Honestly Damian and Most People He's a Child, Bruce and Stephanie

[gobstoppr]

and btw im in my hater arc rn. as time goes on the more i find a lot of 'fandom' stuff insufferable (i like art n stuff. just the way that fandom refits every media to fit a single mold and set of boring archetypes is exhausting.)

i just get really easily annoyed lately. and have been unfollowing people on a whim a lot. its not personal i promise

[punctuation-completionist]

you don’t have to answer this ask but wow how are you supposed to be the bad guy fucking apologizing for reacting badly to being told to kill yourself?? i hate this website

well okay hold up i never said i was the bad guy. i said there were misunderstandings on both sides and that i was sorry for an issue in one part of how i handled it. just one.