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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Marching against climate change in the age of Donald Trump

The People’s Climate Movement is as much about politics as science. That's its strength.

Saying goodbye is never easy. But the present generation are facing an awful lot of farewells: to the melting arctic, the dying Barrier Reef, and the general resilience of ecosystems around the world. As Margaret Atwood described it in her essay of the same name: “It’s not climate change, it’s everything change”.

The problem with “everything-change” is that it can be overwhelming. How do you even decide where to start?

The People’s Climate Movement want to begin by making visible the extent of concern out there. This weekend, a coalition of organisations have planned a protest march on the American capital. Between 50,000 -100,000 people are expected to attend, including eco-celebrities Leonardo Di Caprio, Al Gore and Richard Branson.

In London, a group called Campaign Against Climate Change, are co-ordinating a UK-based solidarity event. Protestors will meet at 11.30am in Old Palace yard opposite Parliament, then move to Westminster Bridge, where they will spell out a message to Theresa May: “Trump and May: Climate Disaster”.

For UK campaigners, this is a vital opportunity to raise awareness of the many ways in which action on climate change is under threat. Claire James from CACC outlines the sense of frustration and injustice that many feel with regard to recent government policy: “There have been 12,000 jobs lost last year in the solar industry alone and installation numbers have plummeted. Meanwhile fracking, hugely unpopular, is given determined backing.”

Ahead of the June election, campaigners are using the event to call for specific, cross-party commitments. One, fast-tracking the UK’s delayed Climate Change Plan. Two, ruling out new trade deals that compromise environmental, worker or consumer rights. And three, implementing a fair deal for UK solar and wind industry. “Our action on Saturday is about saying to the government – and to anyone who wants to form the next government – do your policies measure up?” says James.

These concrete political aims are an important way in which the movement differs from last weekend’s March For Science. That protest, inspired by the popularity of the Women’s March earlier this year, kept its message intentionally wide. As one of the London event’s organisers told DeSmog, it placed its emphasis on a generalised “celebration of science”. But this lack of specificity drew criticism from some quarters – for presenting a confusing message about politics' relationship to science.

Generalisation can also risk putting people off joining marches at all. Over the last few months, numerous friends have said they feel uncomfortable joining protests where they’re not sure that the person marching next to them is doing so for the same reasons. They’d feel much happier signing a petition, with a more specific and limited aim, they tell me.

This weekend’s climate marches risk drawing some of the same concerns. “Climate-change has become a synecdoche, a surrogate, for many causes in today’s world – social justice, the protection of nature, the rights of future generations, the defence of science,” says Professor Mike Hulme from King's College London. “Marches such as this give political voice to anti-establishment protest, but they don’t stop the climate changing.”

In addition, not all who want to see climate change prioritised by governments may agree over the exact course of action – with outright opposition to fracking, for instance, or to a third runway at Heathrow.

But this weekend’s movement also appears to have taken these lessons on board. First, they are putting their political aims up front. According the US event’s website, whereas the March for Science strove to be non-political, this movement “believes strongly in the need to call out the politicians.”

The link to the Paris Climate Treaty is helpful in this respect. The People’s Climate Movement traces its birth back to September 21 2014, the eve of the UN climate summit, when 400,000 people marched through New York demanding action on the climate crisis. This gives the movement a clear piece of legislation to both celebrate and defend.

And the London-based event is also attempting to re-think and expand what street-protests can achieve. “We’re doing a smaller action rather than a big march,” explains Claire James, “but we’re trying to have a real focus with the speakers on ‘what next’”. After the protest in Westminster, attendees are invited to join an afternoon of free food, activities and music, hosted by the food waste campaign Feedback. Here there will be even further opportunity to learn about the many ways – from divestment campaigns to local renewable energy groups – in which people can help press for change.

In this respect, public action against the climate crisis promises not to end when the walking does. And while protests won't stop climate change in themselves, joining a march can be a powerful reminder that we are not in this crisis alone.

India Bourke is an environment writer and editorial assistant at the New Statesman.

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