New browser plugin stops people bamboozling you with numbers

Dictionary of Numbers provides that much needed context.

I've written before about how numbers without context are meaningless. Remember the claim that "every year in Spain alone… between 6 and 18 million birds and bats are killed by wind farms"? We're used to things that number in the millions being a lot, but without context, our intuitions can mislead us. So, for instance, if I claimed that "every year in Spain alone, between 6 and 18 million bytes of pornography are downloaded", your gut reaction might be that the Spanish are porn-hungry sex-fiends – until you realise that a moderately sized picture file is around one million bytes. That stat would in fact make Spain one of the most prudish countries in the world.

So, for the wind farm example, we found a few comparisons: in the US, power lines killed 130 million birds a year, while windows took between 100 million and almost a billion each year.

That's useful – and served to put some scaremongering at rest – but we can't all be looking up US Department of Agriculture papers when there's a potentially misleading statistic. So rejoice! For there is now a Chrome extension that can do the same thing automatically.

Dictionary of Numbers "searches through the page for numbers it can understand, and when it finds one, adds an inline explanation for that number in human terms". What that means is that a report of a forest fire destroying 297,845 acres of land is followed up by a little square bracket telling you "[≈ Hong Kong]"; something 100m high is [≈ height of the Statue of Liberty (foundation of pedestal to torch)].

As Glen Chiacchieri, the developer of the extension, writes:

One could write Dictionary of Numbers off as a tool for mathematically-inclined folk, but the fact is that understanding and reasoning about numbers is an essential part of modern society. After all, it's important to know just how much of the United States was on fire.

Sadly, the extension doesn't yet have any comparisons for the figure "8 million birds", so when it comes to dealing with the critiques of climate sceptics, we're still going to have to do it the old-fashioned way. And while it's handy for money in dollars, pound sterling leaves it upset and confused. But there's a third problem with the plugin, as well. As Randall Munroe reports:

It can also come across as unexpectedly judgmental. Glen told me about complaint he got from a user: “I installed your extension and then forgot about it … until I logged into my bank account. Apparently my total balance is equal to the cost of a low-end bicycle. Thanks.”

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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Former Irish premier John Bruton on Brexit: "Britain should pay for our border checks"

The former Taoiseach says Brexit has been interpreted as "a profoundly unfriendly act"

At Kapıkule, on the Turkish border with Bulgaria, the queue of lorries awaiting clearance to enter European Union territory can extend as long as 17km. Despite Turkey’s customs union for goods with the bloc, hauliers can spend up to 30 hours clearing a series of demanding administrative hoops. This is the nightmare keeping former Irish premier John Bruton up at night. Only this time, it's the post-Brexit border between Northern Ireland and the Republic, and it's much, much worse.   

Bruton (pictured below), Taoiseach between 1994 and 1997, is an ardent pro-European and was historically so sympathetic to Britain that, while in office, he was pilloried as "John Unionist" by his rivals. But he believes, should she continue her push for a hard Brexit, that Theresa May's promise for a “seamless, frictionless border” is unattainable. 

"A good example of the sort of thing that might arise is what’s happening on the Turkish-Bulgarian border," the former leader of Ireland's centre-right Fine Gael party told me. “The situation would be more severe in Ireland, because the UK proposes to leave the customs union as well."

The outlook for Ireland looks grim – and a world away from the dynamism of the Celtic Tiger days Bruton’s coalition government helped usher in. “There will be all sorts of problems," he said. "Separate permits for truck drivers operating across two jurisdictions, people having to pay for the right to use foreign roads, and a whole range of other issues.” 

Last week, an anti-Brexit protest on the border in Killeen, County Louth, saw mock customs checks bring traffic to a near standstill. But, so far, the discussion around what the future looks like for the 260 border crossings has focused predominantly on its potential effects on Ulster’s fragile peace. Last week Bruton’s successor as Taoiseach, Bertie Ahern, warned “any sort of physical border” would be “bad for the peace process”. 

Bruton does not disagree, and is concerned by what the UK’s withdrawal from the European Convention on Human Rights might mean for the Good Friday Agreement. But he believes the preoccupation with the legacy of violence has distracted British policymakers from the potentially devastating economic impact of Brexit. “I don’t believe that any serious thought was given to the wider impact on the economy of the two islands as a whole," he said. 

The collapse in the pound has already hit Irish exporters, for whom British sales are worth £15bn. Businesses that work across the border could yet face the crippling expense of duplicating their operations after the UK leaves the customs union and single market. This, he says, will “radically disturb” Ireland’s agriculture and food-processing industries – 55 per cent of whose products are sold to the UK. A transitional deal will "anaesthetise" people to the real impact, he says, but when it comes, it will be a more seismic change than many in London are expecting. He even believes it would be “logical” for the UK to cover the Irish government’s costs as it builds new infrastructure and employs new customs officials to deal with the new reality.

Despite his past support for Britain, the government's push for a hard Brexit has clearly tested Bruton's patience. “We’re attempting to unravel more than 40 years of joint work, joint rule-making, to create the largest multinational market in the world," he said. It is not just Bruton who is frustrated. The British decision to "tear that up", he said, "is regarded, particularly by people in Ireland, as a profoundly unfriendly act towards neighbours".

Nor does he think Leave campaigners, among them the former Northern Ireland secretary Theresa Villiers, gave due attention to the issue during the campaign. “The assurances that were given were of the nature of: ‘Well, it’ll be alright on the night!’," he said. "As if the Brexit advocates were in a position to give any assurances on that point.” 

Indeed, some of the more blimpish elements of the British right believe Ireland, wedded to its low corporate tax rates and east-west trade, would sooner follow its neighbour out of the EU than endure the disruption. Recent polling shows they are likely mistaken: some 80 per cent of Irish voters say they would vote to remain in an EU referendum.

Irexit remains a fringe cause and Bruton believes, post-Brexit, Dublin will have no choice but to align itself more closely with the EU27. “The UK is walking away,” he said. “This shift has been imposed upon us by our neighbour. Ireland will have to do the best it can: any EU without Britain is a more difficult EU for Ireland.” 

May, he says, has exacerbated those difficulties. Her appointment of her ally James Brokenshire as secretary of state for Northern Ireland was interpreted as a sign she understood the role’s strategic importance. But Bruton doubts Ireland has figured much in her biggest decisions on Brexit: “I don’t think serious thought was given to this before her conference speech, which insisted on immigration controls and on no jurisdiction for the European Court of Justice. Those two decisions essentially removed the possibility for Ireland and Britain to work together as part of the EEA or customs union – and were not even necessitated by the referendum decision.”

There are several avenues for Britain if it wants to avert the “voluntary injury” it looks set to inflict to Ireland’s economy and its own. One, which Bruton concedes is unlikely, is staying in the single market. He dismisses as “fanciful” the suggestions that Northern Ireland alone could negotiate European Economic Area membership, while a poll on Irish reunification is "only marginally" more likely. 

The other is a variation on the Remoaners’ favourite - a second referendum should Britain look set to crash out on World Trade Organisation terms without a satisfactory deal. “I don’t think a second referendum is going to be accepted by anybody at this stage. It is going to take a number of years,” he said. “I would like to see the negotiation proceed and for the European Union to keep the option of UK membership on 2015 terms on the table. It would be the best available alternative to an agreed outcome.” 

As things stand, however, Bruton is unambiguous. Brexit means the Northern Irish border will change for the worse. “That’s just inherent in the decision the UK electorate was invited to take, and took – or rather, the UK government took in interpreting the referendum.”