An Animated Introduction to the Famous Thought Experiment, the “Trolley Problem,” Narrated by Harry Shearer

You don’t have to get too deep into the study of ethics before you run across the trol­ley prob­lem. It comes up so read­i­ly that it hard­ly needs an intro­duc­tion: a run­away train is on course to col­lide with and kill five peo­ple work­ing on the tracks, but you can pull a lever that will switch it to anoth­er sec­tion of track on which stands only one per­son. Do you pull it? Accord­ing to a pure­ly util­i­tar­i­an inter­pre­ta­tion, you should, since one life lost sure­ly beats five lives lost. But faced with the deci­sion, real indi­vid­u­als tend to strug­gle: not pulling the lever feels like let­ting five peo­ple die, but pulling it feels like mur­der­ing one.

What if you could stop the train by push­ing one espe­cial­ly large indi­vid­ual off a bridge into the train’s path, stop­ping it but killing him? Few say, or at least admit, that they would do it. But why not? The Har­ry Shear­er-nar­rat­ed ani­ma­tion above, a part of BBC Radio 4 and The Open Uni­ver­si­ty’s series on the his­to­ry of ideas, con­sid­ers what our respons­es reveal about how we think eth­i­cal­ly.

“What the trol­ley prob­lem exam­ines is whether moral deci­sions are sim­ply about out­comes, or about the man­ner in which you achieve them,” says Shear­er. “Lots of peo­ple say they would switch the points, but they would­n’t push the man off the bridge. Are they sim­ply incon­sis­tent… or are they on to some­thing?

The TED-Ed video just above, writ­ten by edu­ca­tor Eleanor Nelsen, gets deep­er into what they might be on to. “The dilem­ma in its many vari­a­tions reveals that what we think is right or wrong depends on fac­tors oth­er than a log­i­cal weigh­ing of the pros and cons,” says Nelsen. “For exam­ple, men are more like­ly than women to say it’s okay to push the man over the bridge. So are peo­ple who watch a com­e­dy clip before doing the thought exper­i­ment. And in one vir­tu­al real­i­ty study, peo­ple were more will­ing to sac­ri­fice men than women.” The study of “Trol­ley­ol­o­gy,” a sub­ject since Philip­pa Foot first artic­u­lat­ed the prob­lem in 1967, now finds “researchers who study autonomous sys­tems” col­lab­o­rat­ing with philoso­phers “to address the com­plex prob­lem of pro­gram­ming ethics into machines.” Alter­na­tive­ly, of course, they could just put the ques­tion to the near­est two-year-old.

Relat­ed Con­tent:

How Can I Know Right From Wrong? Watch Phi­los­o­phy Ani­ma­tions on Ethics Nar­rat­ed by Har­ry Shear­er

What Is Free­dom? Watch Four Phi­los­o­phy Ani­ma­tions on Free­dom & Free Will Nar­rat­ed by Har­ry Shear­er

48 Ani­mat­ed Videos Explain the His­to­ry of Ideas: From Aris­to­tle to Sartre

Oxford’s Free Course A Romp Through Ethics for Com­plete Begin­ners Will Teach You Right from Wrong

Watch a 2‑Year-Old Solve Philosophy’s Famous Eth­i­cal “Trol­ley Prob­lem” (It Doesn’t End Well)

Based in Seoul, Col­in Mar­shall writes and broad­casts on cities, lan­guage, and cul­ture. His projects include the book The State­less City: a Walk through 21st-Cen­tu­ry Los Ange­les and the video series The City in Cin­e­ma. Fol­low him on Twit­ter at @colinmarshall or on Face­book.

An Animated Introduction to the Chaotic Brilliance of Jean-Michel Basquiat: From Homeless Graffiti Artist to Internationally Renowned Painter

By the late 1970s, New York City had fall­en into such a sham­bol­ic state that nobody could have been expect­ed to notice the occa­sion­al streak of addi­tion­al spray paint here and there. But some­how the repeat­ed appear­ance of the word “SAMO” caught the atten­tion of even jad­ed Low­er Man­hat­tan­ites. That tag sig­ni­fied the work of Al Diaz and Jean-Michel Basquiat, the lat­ter of whom would cre­ate work that, four decades lat­er, would sell for over $110 mil­lion at auc­tion, a record-break­ing num­ber for an Amer­i­can artist. But by then he had already been dead for near­ly 20 years, brought down by a hero­in over­dose at 27, an age that reflects not just his rock-star sta­tus in life but his increas­ing­ly leg­endary pro­file after it.

“Born in 1960 to a Hait­ian father and a Puer­to Rican moth­er, Basquiat spent his child­hood mak­ing art and mis­chief in Boerum Hill,” Brook­lyn, says Uni­ver­si­ty of Mary­land art his­to­ry pro­fes­sor Jor­dana Moore Saggese in the ani­mat­ed Ted-Ed intro­duc­tion above. “While he nev­er attend­ed art school, he learned by wan­der­ing through New York gal­leries, and lis­ten­ing to the music his father played at home.”

He seems to have drawn inspi­ra­tion from every­thing around him, “scrib­bling his own ver­sions of car­toons, com­ic books and bib­li­cal scenes on scrap paper from his father’s office” (lead­ing to a method that has some­thing in com­mon with William Bur­roughs’ cut-up tech­niques). He also spent a great deal of artis­ti­cal­ly for­ma­tive time laid up in the hos­pi­tal after a car acci­dent, por­ing over a copy of Gray’s Anato­my giv­en to him by his moth­er, which “ignit­ed a life­long fas­ci­na­tion with anato­my that man­i­fest­ed in the skulls, sinew and guts of his lat­er work.”

A skull hap­pens to fea­ture promi­nent­ly in that $110 mil­lion paint­ing of Basquiat’s, but he also made lit­er­al­ly thou­sands of oth­er works in his short life, hav­ing turned full-time to art after SAMO hit it big on the Soho art scene. The day job he quit was at a cloth­ing ware­house, a posi­tion he land­ed, after a peri­od of unem­ploy­ment and even home­less­ness, when the com­pa­ny’s founder spot­ted him spray-paint­ing a build­ing at night. Suc­cess came quick­ly to the young Basquiat, but it cer­tain­ly did­n’t come with­out effort: still, when we regard his paint­ings today, don’t we feel com­pelled by not just what Saggesse calls a dis­tinc­tive “inven­tive visu­al lan­guage” and hyper-ref­er­en­tial “phys­i­cal evi­dence of Basquiat’s rest­less and pro­lif­ic mind,” but also of the glimpse they offer into the rare life lived at max­i­mum pro­duc­tiv­i­ty, max­i­mum inten­si­ty, and max­i­mum speed?

To delve deep­er into the world of Basquiat, you can watch two doc­u­men­taries online: Basquiat: Rage to Rich­es, and Jean Michel Basquiat-The Radi­ant Child.

Relat­ed Con­tent:

Take a Close Look at Basquiat’s Rev­o­lu­tion­ary Art in a New 500-Page, 14-Pound, Large For­mat Book by TASCHEN

The Odd Cou­ple: Jean-Michel Basquiat and Andy Warhol, 1986

Google Puts Online 10,000 Works of Street Art from Across the Globe

Big Bang Big Boom: Graf­fi­ti Stop-Motion Ani­ma­tion Cre­ative­ly Depicts the Evo­lu­tion of Life

The Cre­ativ­i­ty of Female Graf­fi­ti & Street Artists Will Be Cel­e­brat­ed in Street Hero­ines, a New Doc­u­men­tary

How to Jump­start Your Cre­ative Process with William S. Bur­roughs’ Cut-Up Tech­nique

Based in Seoul, Col­in Mar­shall writes and broad­casts on cities, lan­guage, and cul­ture. His projects include the book The State­less City: a Walk through 21st-Cen­tu­ry Los Ange­les and the video series The City in Cin­e­ma. Fol­low him on Twit­ter at @colinmarshall or on Face­book.

Jim Morrison Declares That “Fat is Beautiful” .… And Means It

There’s a bit of cog­ni­tive dis­so­nance in a young rock god giv­ing voice to the fat pride move­ment some four decades after his death.

Years before social media ampli­fied celebri­ty weight gain cov­er­age to the realm of nation­al news, The Doors’ lead singer, Lizard King Jim Mor­ri­son, was the sub­ject of intense bod­i­ly scruti­ny.

The musician’s drug of choice—alcohol—swiftly added some extra cush­ion­ing to the sexy, shirt­less young lion image pho­tog­ra­ph­er Joel Brod­sky man­aged to cap­ture in 1967.

That lean, leather-pant­ed ver­sion is the one the Mor­ri­son direc­tor Patrick Smith went with for the Blank on Blank ani­ma­tion above, using audio from a 1969 inter­view with the Vil­lage Voice’s Howard Smith (no rela­tion).

Occa­sion­al­ly ani­ma­tor Smith bal­loons the 2‑D Morrison’s bel­ly for humor­ous effect, but let’s be frank. By today’s stan­dards, the 5’11 Mor­ri­son, who by his own esti­mate tipped the scales at 185lb, was hard­ly “fat.”

Pleas­ing­ly plump per­haps…

Fill­ing out…

Eat­ing (and drink­ing) like some­one whose bank account did­n’t require belt tight­en­ing.

His com­pas­sion toward gen­er­ous­ly pro­por­tioned bod­ies like­ly sprang from ear­ly expe­ri­ence.

As pho­tog­ra­ph­er Lin­da McCart­ney recalled in Lin­da McCartney’s The Sixties—Portrait Of An Era:

He … told me that he’d grown up as a fat kid that no one want­ed to know and that this had caused him a lot of emo­tion­al pain.

Then he explained what had brought it all to the sur­face. Appar­ent­ly he had been walk­ing around Green­wich Vil­lage that morn­ing and a girl who he knew as a child had spot­ted him and start­ed going crazy over him. That both­ered him because he sensed the hypocrisy of it all. When he was a fat mil­i­tary brat these peo­ple had reject­ed and ignored him but now, because of his new pub­lic image, they were fawn­ing over him.

That “new pub­lic image” is the one most of us think of first when think­ing of Jim Mor­ri­son, but as a flesh and blood exem­plar, it was unsus­tain­able. Pho­tog­ra­ph­er Brod­sky reflects:

The shot on the inner sleeve of the Great­est Hits album was pret­ty near the end, I think. By that time, he was so drunk he was stum­bling into the lights and we had to stop the ses­sion. Mor­ri­son nev­er real­ly looked that way again, and those pic­tures have become a big part of The Doors’ leg­end. I think I got him at his peak.

Mor­ri­son didn’t dwell on child­hood mis­eries in his Vil­lage Voice inter­view, nor did he show any self-loathing or regret for physiques past.

Rather, he gave voice to the pos­i­tive effects of his increased size. He felt like a tank, a beast—a body of con­se­quence.

(To con­sid­er the impli­ca­tions of bod­i­ly size for a female in Morrison’s world, have a look at car­toon­ist Péné­lope Bagieu’s Cal­i­for­nia Dreamin’: Cass Elliot before the Mamas and The Papas.)

Relat­ed Con­tent:

“The Lost Paris Tapes” Pre­serves Jim Morrison’s Final Poet­ry Record­ings from 1971

The Last Known Pho­tos of Jim Mor­ri­son, Tak­en Days Before His Death in Paris (June 1971)

The Doors Play Live in Den­mark & LA in 1968: See Jim Mor­ri­son Near His Charis­mat­ic Peak

Ayun Hal­l­i­day is an author, illus­tra­tor, the­ater mak­er and Chief Pri­ma­tol­o­gist of the East Vil­lage Inky zine.  Join her in New York City March 11 for the next install­ment of her book-based vari­ety show, Necro­mancers of the Pub­lic Domain. Fol­low her @AyunHalliday.

18 Classic Myths Explained with Animation: Pandora’s Box, Sisyphus & More

Greek myths have an incred­i­ble shelf life.

We may not retain all the play­ers’ names or the intri­ca­cies of the var­i­ous plot lines, but the cre­ative pun­ish­ments the gods—Zeus, in particular—visited upon those who dis­pleased them have pro­vid­ed mod­ern mor­tals with an endur­ing short­hand for describ­ing our own woes.

Tempt­ed to sneak a peek inside a lover’s diary? Take a tee­ny swig from the liquor cab­i­net whilst hous­esit­ting? Go snoop­ing in your teenager’s Inter­net his­to­ry?

DON’T DO IT, PANDORA!!!

But if curios­i­ty com­pels you to explore beyond the famous punch­lines of mythology’s great­est hits, TED-Ed’s ani­mat­ed Myths from Around the World series is a rec­om­mend­ed rum­mage.

Aver­ag­ing around five min­utes per tale, each episode is packed tight as a snake in a can of mixed nuts. Pre­pare to be sur­prised by some of the tid­bits that come spring­ing out.

Take Pandora’s box, above.

(Actu­al­ly it was a jar, but why quib­ble?)

Not to unleash too many major spoil­ers, but how many of us remem­bered that the thing con­tained a bit of good along with all that evil?

Or that the ves­sel she wasn’t allowed to open was but one of many gifts the gods bestowed upon her at birth? In fact, Zeus gave her two presents, that pret­ty box, jar, what­ev­er, and—wait for it—an irre­press­ibly inquis­i­tive nature.

Or the close con­nec­tion between Pan­do­ra and Prometheus? Zeus con­ceived of Pan­do­ra as a ret­ri­bu­tion for Prometheus steal­ing fire and return­ing it to earth.

Remem­ber Prometheus?

No, not the guy who’s doomed to spend his life rolling a mas­sive rock uphill, only to have it roll back down before he reach­es the top. That’s Sisy­phus, as in Sisyphean task, like laun­dry or clean­ing the cat lit­ter.

Prometheus is the Titan who winds up chained to a rock so Zeus can send a hun­gry vulture—some say eagle—to devour his liv­er once a day.

(Which kind of puts the cat lit­ter in per­spec­tive.)

In addi­tion to ancient Greek crowd pleasers, the 18-episode Myths from Around the World playlist delves into the famil­iar stuff of Norse, Chi­nese, and ancient Egypt­ian leg­ends, as well as less wide­ly known Cam­bo­di­an and Irish tales.

Each video’s descrip­tion has a link to a full Ted-Ed les­son, with the usu­al com­ple­ment of quizzes, resources and oppor­tu­ni­ties for teacher cus­tomiza­tion.

Watch the full playlist here.

Relat­ed Con­tent:

The Myth of Sisy­phus Won­der­ful­ly Ani­mat­ed in an Oscar-Nom­i­nat­ed Short Film (1974)

Greek Myth Comix Presents Homer’s Ili­ad & Odyssey Using Stick-Man Draw­ings

Con­cepts of the Hero in Greek Civ­i­liza­tion (A Free Har­vard Course) 

Ayun Hal­l­i­day is an author, illus­tra­tor, the­ater mak­er and Chief Pri­ma­tol­o­gist of the East Vil­lage Inky zine.  Join her in New York City for the next install­ment of her book-based vari­ety show, Necro­mancers of the Pub­lic Domain, this March. Fol­low her @AyunHalliday.

Watch 66 Oscar-Nominated-and-Award-Winning Animated Shorts Online, Courtesy of the National Film Board of Canada

I recent­ly heard some­one quip that pro­pos­als to cut the Acad­e­my Awards are tan­ta­mount to sug­gest­ing that the NFL trim down the Super Bowl. Cer­tain­ly for many who would rather watch the for­mer any day of the week, even the play-by-play of tech­ni­cal cat­e­gories repays atten­tion. Yet peo­ple who think of the Oscars as a major sport­ing event with big stars and block­busters going head-to-head can still appre­ci­ate the show as more than spec­ta­cle. How else, for exam­ple, would most of us learn about bril­liant ani­mat­ed short films like the Nation­al Film Board of Canada’s Ani­mal Behav­iour, made by hus­band and wife team Ali­son Snow­den and David Fine and nom­i­nat­ed in this year’s Oscars? (See the trail­er above.)

Snow­den and Fine pre­vi­ous­ly won an Oscar in 1995 for Bob’s Birth­day, a hilar­i­ous short about an unhap­py British den­tist. Their lat­est film takes a charm­ing, anthro­po­mor­phic route to the ques­tion Fine pos­es as, “Should what comes nat­u­ral­ly to you be some­thing that you seek to change to please oth­ers, or should oth­ers accept you as you are?”

Group ther­a­py par­tic­i­pants seek­ing accep­tance include Lor­raine, a leech with sep­a­ra­tion anx­i­ety, Vic­tor, an ape with anger issues, and Cheryl, a pray­ing man­tis, writes the Nation­al Film Board, “who can’t seem to keep a man.”

The NFB informs us that Ani­mal Behav­iour is their 75th Oscar-nom­i­na­tion in the cat­e­go­ry of Ani­mat­ed Short Film, and whether you’re inclined to watch this part of the awards or not, you can get caught up with their exten­sive playlist of 66 Oscar-win­ning and nom­i­nat­ed films on YouTube. (Bob’s Birth­day is not avail­able, at least in the U.S., but you can watch it here.) See Snow­den and Fine’s first film, George and Rose­mary, a sto­ry in which “two gold­en agers prove that pas­sion isn’t reserved for the very young.”


Watch the very impres­sive stop-motion ani­ma­tion of 2007’s Madame Tut­li-Put­li, an “exhil­a­rat­ing exis­ten­tial jour­ney” direct­ed by Chris Lavis & Maciek Szczer­bows­ki. See Chris Landreth’s 2013 Oscar-win­ning com­put­er-ani­mat­ed short, Ryanabout a char­ac­ter “liv­ing every artist’s worst night­mare.”

And see the 2007 Oscar-win­ning exis­ten­tial ani­mat­ed short The Dan­ish Poet, direct­ed by Torill Kove and fea­tur­ing nar­ra­tion by Liv Ull­mann. The offer­ings are vast and var­ied, dis­play­ing the very best of Cana­di­an ani­ma­tion, a nation­al art that usu­al­ly goes unseen and unac­knowl­edged by audi­ences out­side its bor­ders. But after watch­ing sev­er­al of these films you might agree that NFB ani­ma­tion deserves its long his­to­ry of recog­ni­tion at the Oscars. See the com­plete playlist of films here.

Many of these films can be found in our col­lec­tion, 4,000+ Free Movies Online: Great Clas­sics, Indies, Noir, West­erns, Doc­u­men­taries & More.

Relat­ed Con­tent:

Ear­ly Japan­ese Ani­ma­tions: The Ori­gins of Ani­me (1917 to 1931)

The Psy­che­del­ic 1970s Ani­ma­tions of Kei­ichi Tanaa­mi: A Music Video for John Lennon’s “Oh Yoko!,” Sur­re­al Trib­utes to Elvis & Mar­i­lyn Mon­roe, and More

Free Ani­mat­ed Films: From Clas­sic to Mod­ern 

Josh Jones is a writer and musi­cian based in Durham, NC. Fol­low him at @jdmagness

A History of the Entire World in Less Than 20 Minutes

Thanks for watch­ing his­to­ry. I hope I men­tioned every­thing. — Bill Wurtz

Here at Open Cul­ture, we hap­pi­ly acknowl­edge that learn­ing is not a one-size-fits-all propo­si­tion.

The inter­net may be doing a num­ber on our atten­tion spans, but as the world has grown small­er, the edu­ca­tion­al buf­fet has grown rich­er, more var­ied, and vast­ly more afford­able.

Take for exam­ple the His­to­ry of the World.

Geog­ra­phy fans can approach the sub­ject via Ollie Bye’s year-by-year ani­mat­ed map.

John Green’s play­ful Crash Course series offers a won­der­ful respite for any kid grind­ing their way through AP World His­to­ry.

Those of a more tra­di­tion­al mind­set, who pre­fer a state­lier pace can lose them­selves in 46 lec­tures by Richard Bul­li­et, pro­fes­sor of his­to­ry at Colum­bia Uni­ver­si­ty.

And then there’s world his­to­ry accord­ing Bill Wurtz, above, a cre­ator of short, anachro­nis­tic-look­ing videos, whose YouTube fame was kin­dled by Vine, a now defunct app for shar­ing short-form videos.

Chaf­ing at Vine’s 7‑second time con­straints, Wurtz under­took a more ambi­tious project, a con­densed His­to­ry of Japan that would employ the same tech­niques he brought to bear in his short­er works: graph­ic text, clip art, and Microsoft Paint draw­ings. He zeroed in on the sub­ject because he knew pre­cious lit­tle about Japan, and looked for­ward to doing some vir­gin research.

Wurtz fol­lowed up the 9‑minute His­to­ry of Japan, above, with His­to­ry of the Entire World, I guess.

The non­cha­lance of the title is reflect­ed in Wurtz’s offhand­ed nar­ra­tion. Any word or phrase over two syl­la­bles runs a risk of being trans­formed into an infomer­cial-wor­thy musi­cal jin­gle: space dust, the moon, Egypt…

You may bri­dle at first, but stick it out. Its charms sneak up on you.

Time is not par­tic­u­lar­ly rel­a­tive in Wurtz’s com­pressed uni­verse. Whether it’s 10 min­utes pass­ing before some major devel­op­ment or 500 mil­lion years, their pas­sage is accord­ed equal heft.

Humans show up around the four minute mark, grab­bing stuff, bang­ing rocks, fig­ur­ing out agri­cul­ture…

(Mesopotamia’s char­ac­ter­i­za­tion as a “sweet dank val­ley” between the Tigris and Euphrates is a par­tic­u­lar high­light.)

This is the rare his­to­ry video where sci­ence plays a major role. It takes time out for weath­er updates—the floor is no longer lava, the entire world is now an ocean… it’s sober­ing to remem­ber that ozone is what made it safe for mul­ti-celled life forms to ven­ture forth on land.

Empires rise and fall, uncon­quer­able rulers are unseat­ed and for­got­ten.

(That’s the Tamil Kings. Nobody con­quers the Tamil Kings. Who are the Tamil Kings? Mer­chants prob­a­bly and they’ve got spices…)

Of course the prob­lem with a great overview such as this is the back end’s shelf life can prove rather short. It’s been a lit­tle over a year and a half since Wurtz post­ed the video, and thus far, his part­ing shots still feel pret­ty rel­e­vant: armed drones, 3d print­ing, plas­tic-choked oceans, and a seem­ing­ly unbridge­able gap between the desire to save the world and an actu­al plan for doing so.

Fried by 11 months of inten­sive research and labor on His­to­ry of the Entire World, I guess, Wurtz is cur­rent­ly tak­ing a leave of absence from his­to­ry. These days, he’s pour­ing his ener­gies into orig­i­nal music videos like “At the Air­port Ter­mi­nal.” He also devotes a bit of every day to  answer­ing fans’ ques­tions, rou­tine­ly turn­ing in upwards of a dozen suc­cinct hum­ble, all-low­er­case replies:

1.18.19  7:00 pm   what inspired you to make “the entire world, i guess”? was it a project you already had in mind from before or did you start it when you saw you could do more than just japan

it’s always a nice idea to try to explain the whole world in one video. it’s sure­ly some­thing i’ve always want­ed to do, but was­n’t confident/experienced/stupid enough to believe i could do it until after i had done japan which worked so well

1.18.19  12:53 am   are you ever going to make any­thing else as in depth as his­to­ry of japan or the world?

that would take so much time that by the time it was done you prob­a­bly would­n’t care any­more, but some­one else will so i still might do it

Unsur­pris­ing­ly, he’s the sub­ject of a live­ly sub-red­dit. One fan, red­dit user n44m, was inspired to plot the time­line of His­to­ry of the Entire World, I Guess, below.

To learn more about some of the civ­i­liza­tions, events and per­sons fea­tured in His­to­ry of the Entire World, I Guess, check out anoth­er fan’s anno­tat­ed tran­scrip­tion here.

And rather than nit­pick about cer­tain crit­i­cal bits of his­to­ry that were left on the cut­ting room floor, try writ­ing a script for your own his­to­ry based ani­ma­tion:

The more you learn, the more you find out how much you’re gonna have to leave out. It’s like 99%. That was painful. — Bill Wurtz

Relat­ed Con­tent:

The Entire His­to­ry of Japan in 9 Quirky Min­utes

A Crash Course in World His­to­ry

The His­to­ry of the World in 46 Lec­tures From Colum­bia Uni­ver­si­ty

Ayun Hal­l­i­day is an author, illus­tra­tor, the­ater mak­er and Chief Pri­ma­tol­o­gist of the East Vil­lage Inky zine.  See her onstage in New York City in Feb­ru­ary as host of  The­ater of the Apes book-based vari­ety show, Necro­mancers of the Pub­lic Domain. Fol­low her @AyunHalliday.

Why Should We Read Ray Bradbury’s Fahrenheit 451? A New TED-Ed Animation Explains

Ray Brad­bury’s Fahren­heit 451 envi­sions a future where “fire­men” are sent out not to put out fires, but to burn up any books they find with flamethrow­ers. To stu­dents assigned to read the nov­el today, the idea of an Amer­i­ca that has out­lawed books entire­ly might seem like an intrigu­ing if far-fetched notion, per­haps more suit­ed to the real­i­ty of the 1950s than the real­i­ty of today. Even if we’ve nev­er read Fahren­heit 451, near­ly all of us know the basic out­line of its sto­ry by now, so why should we still read it? In less than five min­utes, the ani­mat­ed TED-Ed video above by the Uni­ver­si­ty of Wis­con­sin-Madis­on’s Iseult Gille­spie offers an answer to that ques­tion.

“Fahren­heit 451 depicts a world gov­erned by sur­veil­lance, robot­ics, and vir­tu­al real­i­ty, a vision that proved remark­ably pre­scient, but also spoke to con­cerns of the time,” says Gille­spie. “The nov­el was pub­lished in 1953, at the height of the Cold War.  The era kin­dled wide­spread para­noia and fear through­out Brad­bury’s home coun­try of the Unit­ed States, ampli­fied by the sup­pres­sion of infor­ma­tion and bru­tal gov­ern­ment inves­ti­ga­tions. In par­tic­u­lar, this witch hunt men­tal­i­ty tar­get­ed artists and writ­ers who were sus­pect­ed of com­mu­nist sym­pa­thies. Brad­bury was alarmed at this cul­tur­al crack­down. He believed it set a dan­ger­ous prece­dent for fur­ther cen­sor­ship, and was remind­ed of the destruc­tion of the Library of Alexan­dria and the book-burn­ing of fas­cist regimes.”

These con­cerns, though rel­e­vant to the era in which Brad­bury wrote Fahren­heit 451, are essen­tial­ly time­less. As with all dystopi­an fic­tion, the nov­el “ampli­fies trou­bling fea­tures of the world around us and imag­ines the con­se­quences of tak­ing them to an extreme.” Some of the trou­bling fea­tures of the world 65 years ago have dimin­ished, but some have great­ly increased, and we would do well to bear in mind that in Fahren­heit 45“it was the apa­thy of the mass­es that gave rise to the cur­rent regime. The gov­ern­ment mere­ly cap­i­tal­ized on short atten­tion spans and the appetite for mind­less enter­tain­ment, reduc­ing the cir­cu­la­tion of ideas to ash. As cul­ture dis­ap­pears, imag­i­na­tion and self-expres­sion fol­low.” Cul­ture may take many more forms now than it did in the 1950s, but with­out our con­stant vig­i­lance, all of them could still be extin­guished, just as eas­i­ly as paper goes up in flame.

Relat­ed Con­tent:

Ray Brad­bury Reveals the True Mean­ing of Fahren­heit 451: It’s Not About Cen­sor­ship, But Peo­ple “Being Turned Into Morons by TV”

Father Writes a Great Let­ter About Cen­sor­ship When Son Brings Home Per­mis­sion Slip to Read Ray Bradbury’s Cen­sored Book, Fahren­heit 451

An Asbestos-Bound, Fire­proof Edi­tion of Ray Bradbury’s Fahren­heit 451 (1953)

New Edi­tion of Ray Bradbury’s Fahren­heit 451 That’s Only Read­able When You Apply Heat to Its Pages: Pre-Order It Today

A Teas­er Trail­er for Fahren­heit 451: A New Film Adap­ta­tion of Ray Bradbury’s Ever-Rel­e­vant Nov­el

Hear Ray Bradbury’s Clas­sic Sci-Fi Sto­ry Fahren­heit 451 as a Radio Dra­ma

Based in Seoul, Col­in Mar­shall writes and broad­casts on cities, lan­guage, and cul­ture. His projects include the book The State­less City: a Walk through 21st-Cen­tu­ry Los Ange­les and the video series The City in Cin­e­ma. Fol­low him on Twit­ter at @colinmarshall or on Face­book.

Complex Math Made Simple With Engaging Animations: Fourier Transform, Calculus, Linear Algebra, Neural Networks & More

In many an audio engi­neer­ing course, I’ve come across the Fouri­er Trans­form, an idea so fun­da­men­tal in sound pro­duc­tion that it seems essen­tial for every­one to know it. My lim­it­ed under­stand­ing was, you might say, func­tion­al. It’s some kind of math­e­mat­i­cal reverse engi­neer­ing machine that turns wave­forms into fre­quen­cies, right? Yes, but it’s much more than that. The idea can seem over­whelm­ing to the non-math­e­mat­i­cal­ly-inclined among us.

The Fouri­er Trans­form, named for French math­e­mati­cian and physi­cist Jean-Bap­tiste Joseph Fouri­er, “decom­pos­es” any wave form into fre­quen­cies, and “vir­tu­al­ly every­thing in the world can be described via a wave­form,” writes one intro­duc­tion to the the­o­ry. That includes not only sounds but “elec­tro­mag­net­ic fields, the ele­va­tion of a hill ver­sus loca­tion… the price of  your favorite stock ver­sus time,” the sig­nals of an MRI scan­ner.

The con­cept “extends well beyond sound and fre­quen­cy into many dis­parate areas of math and even physics. It is crazy just how ubiq­ui­tous this idea is,” notes the 3Blue1Brown video above, one of dozens of ani­mat­ed explo­rations of math­e­mat­i­cal con­cepts. I know far more than I did yes­ter­day thanks to this com­pre­hen­sive ani­mat­ed lec­ture. Even if it all seems old hat to you, “there is some­thing fun and enrich­ing,” the video assures us, “about see­ing what all of its com­po­nents look like.”

Things get com­pli­cat­ed rather quick­ly when we get into the dense equa­tions, but the video illus­trates every for­mu­la with graphs that trans­form the num­bers into mean­ing­ful mov­ing images.

3Blue1Brown, a project of for­mer Khan Acad­e­my fel­low Grant Sander­son, has done the same for dozens of STEM con­cepts, includ­ing such sub­jects as high­er dimen­sions, cryp­tocur­ren­cies, machine learn­ing, and neur­al net­works and essen­tials of cal­cu­lus and lin­ear alge­bra like the deriv­a­tive para­dox and “Vec­tors, what even are they?”

In short­er lessons, you can learn to count to 1000 on two hands, or, just below, learn what it feels like to invent math. (It feels weird at first.)

Sander­son­’s short cours­es “tend to fall into one of two cat­e­gories,” he writes: top­ics “peo­ple might be seek­ing out,” like many of those men­tioned above, and “prob­lems in math which many peo­ple may not have heard of, and which seem real­ly hard at first, but where some shift in per­spec­tive makes it both doable and beau­ti­ful.” These puz­zles with ele­gant­ly clever solu­tions can be found here. Whether you’re a hard­core math-head or not, you’ll find Sanderson’s series of 3Blue1Brown ani­ma­tions illu­mi­nat­ing. Find them all here.

Relat­ed Con­tent:

Free Online Math Cours­es

The Map of Math­e­mat­ics: Ani­ma­tion Shows How All the Dif­fer­ent Fields in Math Fit Togeth­er

Cit­i­zen Maths: A Free Online Course That Teach­es Adults the Math They Missed in High School

Free Math Text­books 

Math Mag­ic

Josh Jones is a writer and musi­cian based in Durham, NC. Fol­low him at @jdmagness

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