#but I don't know much about that

[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.

[poorly-drawn-mdzs]

Expertise can't help you here.

[perrieedwards]

i feel like people are skimming over the uk riots in a way that makes me want to tear my hair out. muslims in the uk are in active danger. immigrants in the uk are in active danger. refugees in the uk are in active danger. people of colour in the uk are in active danger. asian communities in the uk are in active danger. black communities in the uk are in active danger.

there are massive far right riots throughout the country right now and people like fucking elon musk and nigel farage are inciting it and still have a platform to speak. people have used three young girls deaths, people's genuine grief in southport, to try and gain traction for their own racist bullshit and it's working.

a lot of refugee charities have been forced to close leaving many people without support, homes, funding, food, etc. if you aren't able to donate please consider sending a message via the conversation over borders campaign! it will send a hopeful, welcoming letter to a refugee in the uk. there is also a guide to staying safe here.

please do your own research and donate to refugee charities, anti-islamophobia charities, mosques who are trying to rebuild after being destroyed, counter protesters, here are some i've heard positive things about but the list is extensive; southport strong together (support for the southport victims and their families), southport mosque rebuilding, riot repair fund, middlesbrough vulnerable residents, nasir mosque rebuilding, hull help for refugees, bristol welcomes migrants,

[beebfreeb]

Messaging people for the first time is so hard. What am I supposed to say? Like, "You seem really odd and your blog intrigues me. Do you want to have philosophical conversations or perhaps talk about fictional characters?" What! Whatever. I will just follow you back and stare at your blog with my big beautiful brown eyes.

[callisteios]

hii i recently fell in love with movies again so i made a uquiz where you can find out which actor would play you in a film about your life.

[uncanny-tranny]

I think so many people are so deeply alienated from themselves that they have no clue how to exercise their free will and autonomy. For some, this alienation runs so deep that they are afraid of their own autonomy and humanity. It is completely understandable why one would have those feelings, but it can be worrisome.

I want to help others who feel this way, so here are small things I have done to exercise my free will:

Add "guilty pleasure" songs to playlists and actually listen to them (I have a ton of late 1990s-early 2000s music I listen to now proudly that I never listened to in the past out of shame)

Getting the décor item, bath set, bed spread, ect. in the patterns you like, even if it's "childish" (I got a dinosaur-themed wastebasket from the kids' décor section and I adore it)

Taking a new route to get to a place you go to often

Eat dessert first

Celebrate well, and often

Collect things that are "odd" or don't seem like an "acceptable" thing to collect (somebody on my "for you" page collects dandelion crayola crayons and it was so cool!!!!!!)

Incorporate one new piece in an outfit you wear frequently (e.g., a new chain, a necklace, ribbons, bracelets, ect.). Challenge yourself to add onto the outfits if you feel up for it.

Sing along to songs without worrying that you sound "good" or your intonation is completely accurate

Read a book from a genre you weren't allowed to read as a kid (comics, thrillers, mysteries, anything!)

Walk without having a specific destination or goal

Pick up a new craft without expecting yourself to master it or to ever be "good" enough. Get your hands messy.

I don't want to shame anybody for not feeling as though they have free will or that they are exempt from exercising it. However, I wanted to give ideas so that you might read this list and find your own ways to express your intrinsic autonomy and will. You deserve to be a person, to feel alive, not just living. That is what our lives are for.

[artkaninchenbau]

A h-heartfelt reunion..?

Bonus

[krysmcscience]

I have some questions about karaoke night, Alex Hirsch. Very Important Questions. Which I will happily scream at a poor hapless baby triangle who can have no answers for me, and possibly also does not have object permanence yet.

Follow-up that is I guess suggestive, but let's be real here, Bill's a fucking triangle:

Dude slipped right into his birthday suit, lmao

this is so stupid :D

Anyway, I don't care what anyone says, this brilliant individual knows what's up - Bill is absolutely way more of a monsterfucker than Ford could or ever will be, full stop.

[maeamian]

Part of the reason that Republicans are so desperately acting like they will never lose again is because they are deeply terrified that this is their last real chance to win. The big orange dipshit came in and gutted the party of everyone who wasn't a loyalist, which left it full of nasty little gremlins who have gaping voids where charisma and human decency is supposed to go.

They still hold a lot of power, but if we stop them this year the next presidential election may not be the Most Important One Of Your Life™, that's not a guarantee or anything, but if they don't win here and now their future looks grim, this dipshit is the only guy they have left and he's extremely diminished and has his brains leaking out of his ears at this point. We can beat him into the ground.

So that's what we're gonna fucking do. We're gonna break these fucking fash. They will crash upon us and we're gonna break their fucking necks. When they come for us they will lose because they're fucking losers and we have each other's backs which is something they fundamentally are incapable of comprehending.

[1alchemistart]

dont got much to offer for The Holiday but have these sillies!

happy valentines day :D

[illusioncanthurtme--art]

Physically? I am sitting in my bedroom. Mentally? Spiritually? I AM DEAD ON THE FLOOR!!!!! THESE TWO HAVE KILLED ME!!!!

(Another drawing! This was originally attempt #1 at drawing stan, and then fiddleford just showed up. Kinda feels like them five minutes after the above acting like nothing happened though, so it works sdjkgkjfshj)

[poorly-drawn-mdzs]

The math just adds up!

[iamanartichoke]

I don't know who needs to hear this, but as a creator -

I am fine with "the audience" -

downloading my fics

printing my fics

copy/pasting or screenshotting my fics

sharing your saved copy of my fics with anyone else who might want them in the unlikely but never impossible case that my fics are no longer available on ao3

making a book of my fic(s) and running your fingers across the pages while lovingly whispering my precioussss

doing these things with anything I create for fandom, such as meta, headcanons, au nonsense like 'texts from the brodinsons,' etc

I am not fine with "the audience"

doing any of the above with the purpose/intent of plagiarizing my work or passing it off as their own in any capacity

feeding my work into ai for any reason whatsoever

Save the fandom things. Preserve the fandom things. Respect the fandom things.

Enjoy the fandom things.

[egophiliac]

crossing my fingers and wishing upon every star that chapter 10 finally brings us the tweel cards 🤞🤞

[chloesimaginationthings]

Michael knows FNAF Moon is a lawsuit waiting to happen

[estragonsgayass]