Computer-generated nonsense accepted for publication by a mathematics journal

The strike back against Alan Sokal has been 15 years coming.

In 1998, physicist Alan Sokal decided to prove that the impenetrable language used by various post-modernists rendered their work incomprehensible, not only to the public at large, but even to other post-modernists.

Sokal submitted an article, intended as a joke, to an American academic journal called Social Text. John Sturrock, writing in the LRB in 1999, summed up Sokal's aim:

This Duke University periodical likes, by the sound of it, to give air-space to the arguments of the epistemic relativists and other anti-foundationalists. Sokal knew the sort of thing the editors favoured, and he sent them a ‘parody’, as he puts it, entitled ‘Transgressing the Boundaries: Towards a Transformative Hermeneutics of Quantum Gravity’. The text of this reappears as an Appendix in Intellectual Impostures, though by the time you get to it, whatever life might have been left in the joke has been well and truly eroded by the content of the earlier chapters. The ‘parody’ makes relativist claims – for, to take an example more glaring than most, a ‘relational and contextual concept of geometry’ – so far out, as Sokal sees it, for the editors of Social Text to have realised that they were being had and to have turned it down.

While Sturrock mounted an admirable defence of Social Text's editors, the hoax was widely seen as an embarrassment for the publication, and a killer blow from Sokal in his self-declared "science wars".

If there ever was such a thing, however, fifteen years later it appears that the humanities may be equalising the score. The LRB blog reports:

Last month That’s Mathematics! reported another landmark event in the history of academic publishing. A paper by Marcie Rathke of the University of Southern North Dakota at Hoople had been provisionally accepted for publication in Advances in Pure Mathematics.

The paper, "Independent, Negative, Canonically Turing Arrows of Equations and Problems in Applied Formal PDE" has the abstract:

Let ρ = A. Is it possible to extend isomorphisms? We show that D´ is stochastically orthogonal and trivially affine. In [10], the main result was the construction of p-Cardano, compactly Erdős, Weyl functions. This could shed important light on a conjecture of Conway–d’Alembert.

And concludes:

Now unfortunately, we cannot assume that                              

                      

The LRB's Paul Taylor explains:                       

Baffled? You should be. Each of these sentences contains mathematical nouns linked by the verbs mathematicians use, but the sentences scarcely connect with each other. The paper was created using Mathgen, an online random maths paper generator. Mathgen has a set of rules that define how papers are arranged in sections and what kinds of sentence make up a section and how those sentences are made up from different categories of technical and non-technical words. It creates beautifully formatted papers with the conventional structure, complete with equations and citations but, alas, totally devoid of meaning.

A computer. Not the one which wrote the article. Photograph: Getty Images

Alex Hern is a technology reporter for the Guardian. He was formerly staff writer at the New Statesman. You should follow Alex on Twitter.

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Strictly: Has Ed (Glitter) Balls got the winning moves?

Will the former Westminster high-flyer impress the judges and fans?

Ed Balls once had dreams of Labour leadership. Now, according to flamboyant Strictly Come Dancing judge Bruno Tonioli, the former Shadow Chancellor should be aspiring to “imitate the hippopotamus from Fantasia” every Saturday night, preferably while basting himself in fake tan.

Welcome to my world, Ladies and Gentleman. A place where the former Westminster high flyer  is more famous for sashaying around in sequins (and ineptly tweeting his own name) than for his efforts with the Bank of England. It’s a universe so intoxicating, it made political correspondent John Sergeant drag a professional performer across a dance floor by her wrists in the name of light entertainment.

The same compulsions made respected broadcaster Jeremy Vine alight a prop horse dressed as a cowboy (more Woody from Toy Story than John Wayne) and former Conservative MP Ann Widdecombe fly across the ballroom like an inappropriate understudy in an am dram production of Peter Pan. It is a glorious, if unnerving domain.

Ed Glitterballs, as he will henceforth be introduced at every after-dinner speaking engagement he attends, has trotted out many well-rehearsed reasons for signing up: getting fit, being cajoled by his superfan wife, Yvette Cooper, regretting a missed opportunity. But could it be that, as he relentlessly plugs his autobiography, he’s merely after a bit of Strictly stardust for his post-politics career? 

Let’s start with the basics. Politicians are generally unpopular, while anyone with a vague connection to Strictly is treated as a demi-God. So the chance for “the most annoying person in modern politics” (David Cameron’s words, not mine), to bask in reflected glory is a no-brainer.

It’s a valuable opportunity to be humble and self-deprecating — qualities so rarely on display in the House of Commons. Which of us sitting at home scoffing Maltesers, wouldn’t sympathise with poor old Ed being chastised by his impossibly svelte partner for having a beer belly? Early polls suggest the dads’ vote is in the bag.

When Widdecombe appeared on the show back in 2010 — one of the most astonishing rebranding exercises I have ever witnessed — Westminster colleagues warned she would lose gravitas. “My reply was yes I would, but what did I need it for now?” she said.

Strictly Come Dancing gives the nation an extraordinary capacity to forget. Maybe it’s the fumes from the spray tan booth, but Widdecombe’s stern bluster was soon replaced by the image of a sweet old lady, stumbling around the dance floor with gusto. Her frankly shameful record on gay rights evaporated as she traded affectionate insults with openly gay judge Craig Revel Horwood and won us all over with her clodhopping two left feet. Genuinely incredible stuff.

Balls won’t be another Ann Widdecombe. For a start he’s got the wrong partner. She had untouchable fan favourite Anton Du Beke, more famous than some of the celebrity contestants, who happily provided the choreography and patience for her to shine. Balls is with an unknown quantity — new girl Katya Jones. 

His performance has been hyped up by an expectant press, while Widdecombe's had the all-important shock factor. Back then nobody could have predicted her irrepressible stomp to the quarter finals, leading to a career in panto and her own quiz show on Sky Atlantic. And unlike John Sergeant, who withdrew from the competition after a few weeks owing to sheer embarrassment, she lapped up every second.

Neither, however, is Balls likely to be Edwina Currie. If you forgot her stint on the show it’s because she went out in the first week, after failing to tone down her abrasive smugness for the ballroom. Balls is too clever for that and he’s already playing the game. Would viewers have been so comfortable with him cropping up on the Great British Bake Off spin-off An Extra Slice a few months ago?

My bet is that after a few gyrations he’ll emerge as amusing, lovable and, most importantly, bookable. The prospect of Gordon Brown’s economic advisor playing Baron Hardup in a Christmaspanto  is deliciously tantalising. But what happens when the fun stops and the midlife crisis (as he takes great pleasure in calling it) loses its novelty? Can he be taken seriously again?

When asked about Labour’s current Corbyn crisis, Balls told The Guardian: “If I got a call saying, ‘We think you can solve the problem, come back and rescue us,’ I would drop Strictly and go like a shot.” Well, Jeremy Vine came out unscathed — he hosts Crimewatch now, folks! — and thanks to Have I Got News For You, Boris Johnson casually led us out of Europe. Perhaps the best is yet to come.

Great news all round for Balls, then, he’d have to work really hard to come out of this badly. But there’s a reason he’s the bookies’ booby prize, with odds of 150/1 to lift the glitterball trophy. An entertaining but basically useless act has never won the show. We’ll be bored by November.

“But Ed might be sensational!” I hear you cry. Unfortunately his brief appearance on this year’s launch show suggests otherwise. This weekend — the first time he and Katya will perform a full routine —  he will be giving us his waltz, one of the more forgiving dances, and a style Balls has already expressed fondness for.

After that come the sizzling samba, the raunchy rumba and the cheeky Charleston. These can be mortifying even for the show’s frontrunners. As a straggler, Balls may find himself dewy-eyed, reminiscing about the time Bruno compared him to a cartoon hippo. But if he can just cope with a few weeks of mild ridicule, the world could be his oyster.

Emma Bullimore is a TV critic