“Brexit means Brexit,” says Theresa May, Britain’s new prime minister. It sounds pretty unequivocal: the UK voted in a referendum to leave the European Union, so that’s what it must do. But credible figures from US Secretary of State John Kerry to former prime minister Tony Blair have suggested that Brexit may not actually happen. Is that – legally, politically, democratically – possible? The Inquiry has the answer.

Presenter: Maria Margaronis

(Photo: Illustration flags of the European Union and the Union flag sit on top of a sand castle on a beach in Southport, United Kingdom. Credit to Getty images)

Donald Trump has shocked the US political establishment by knocking out every other Republican candidate to become his party’s presumptive candidate for President. Does he have a realistic shot of taking the White House? His campaign is short of money and some senior Republicans are refusing to endorse him. Current polls suggest his chances are slim. But his message has found an audience other politicians have failed to reach – he has become a lightning rod for many disaffected Americans. So, our question this week, can Trump win? Presenter: Helena Merriman

(Photo: Donald Trump, presidential candidate 2016. Credit: Getty Images)

The $5bn settlement recently agreed by Goldman Sachs is the latest in a long list of multi-billion dollar fines paid by banks implicated in the 2008 financial crisis. But behind these giant corporations are individual bankers, taking everyday decisions. It is those decisions which really matter. If you could find a way to nudge bankers towards better and safer choices, building a culture of integrity, you might avoid future financial trouble. But can you make bankers behave better? Taking evidence from witnesses including a Goldman Sachs insider and a regulator deploying psychologists in banks, The Inquiry looks for an answer.

(Photo Montage: Bankers/Stock market charts/City of London. Credit to Getty)

The UK has voted to leave the EU, sending shockwaves through Britain’s political class and its economy. Whatever the fate of Britain – and many fear years of damaging instability – Brexit is a serious blow to the European Union. Britain is far from the only member state with doubts about the scope of the European project. There are strong Eurosceptic movements in many other nations too. Some think the British precedent will boost their influence or that other nations will be able to use the threat of exit to undermine shared decision-making. And the loss of Britain – which is still, for now, Europe’s second-largest economy – could leave the Union precariously unbalanced, with Germany too dominant within it. As the EU contemplates an uncertain future, we are asking whether the EU even has a future without the United Kingdom. Presented by Chris Bowlby.

(Photo: David Cameron, Chancellor Angela Merkel, Bulgarian Prime minister Roesen Plevneliev, Eurozone finance ministers with bank notes, euro coins and a map of Europe in the background. Credit: Getty Images)

Hillary Clinton is the odds-on favourite to be the next president of the USA. But polls show more and more Americans view her unfavourably. In fact, the public's hostility towards her is record-breaking. Only Donald Trump elicits greater antipathy. That’s perhaps less surprising. He is a political outsider, and a divisive figure. But why does Hillary Clinton - a mainstream, centrist politician - provoke such strong, negative feelings? Presenter: Helena Merriman

(Image: Montage of Democratic presidential candidate Hillary Clinton with a sign 'Hillary You Liar')

“More than half the people of the world are living in conditions approaching misery,” declared President Truman at his second inauguration. “For the first time in history, humanity possesses the knowledge and skill to relieve the suffering of these people.” That was 1949.

It is a claim we have heard many times since - that ending poverty is within our grasp. But it is a dream which has - despite decades of effort - eluded us. Now the United Nations has set a new target - to eradicate extreme poverty by 2030. Will it be different this time?

We have already come a long way. For the first time in history fewer than 1 in 10 people are poor around the world. A billion people have been lifted out of extreme poverty since 1990. But achieving the UN's new goal means reaching another 836 million people in the next 14 years. And that will be tough.

Are we really about to end world poverty? Our experts include an economics professor who was himself born into poverty in China, and Helen Clark, who hopes to be the next leader of the United Nations.

Some 92% of married Egyptian women aged between 15-49 have had their genitals cut. FGM is more common in Egypt than anywhere else in the world. These astonishing statistics are all the more surprising when you consider that Egypt banned the practise in 2008. So why is FGM so prevalent in Egypt? Four expert witnesses tell us about the challenge of turning a widely-followed tradition into a crime.

(Photo: A gynaecologist co-operating with the Coptic Center for Training and Development gives a lecture on Female Genital Mutilation (FGM) in a village close to Beni Sueif, south of Cairo. Credit: Getty Images)

The World Health Organisation says the number of cancer cases will rise by 70% over the next 20 years. A huge amount of effort and money is spent fighting the disease. But are we getting that fight right? In this special hour-long edition of The Inquiry four expert witnesses tell us new ideas are being stifled, that there is not enough money being spent on drugs to treat early-stage cancer and that we are not doing enough to stop people from getting cancer in the first place. We put that evidence to someone in a position to do something about it - Dr Francis Collins, director of the US National Institutes of Health, the world's largest biomedical research agency, with a budget of $32 billion.

(Photo: Lab Technician preparing protein. Credit: Reuters)

The 1951 UN Refugee Convention was forged at a time when the world was recovering from a global war which had displaced vast numbers of people. Sixty-five years on, it is still the benchmark for refugee rights. But as the world grapples with a new refugee crisis, many think it's no longer up to the job. So – our question this week – would a new international convention help refugees?

Presenter: James Fletcher

(Image: Refugees push each other as they wait for tents, as Syrians flee the northern embattled city of Aleppo in Bab al-Salama, near the city of Azaz, northern Syria, near the Turkish border crossing. Credit to Getty)

The rich world has got used to health and longevity getting better, and death rates falling – for everyone. But over the past few years data has been accumulating which suggests that this trend has stopped for poorly educated, white Americans. And for one group in particular - middle-aged women – death rates are going up. It’s a shocking finding, meaning many will die at a younger age than their mothers. What’s happening? Certainly, life is tough for many low-income American families. “What the data look like,” says the economist Paul Krugman, “is a society gripped by despair, with a surge of unhealthy behaviours and an epidemic of drugs.” Is he right? Are the conditions of working class life in America killing white women?

Presenter: James Fletcher

(Image: A cemetery in Gloucester, Massachusetts. Credit: Getty Images)

In June, the UK will vote on whether to become the first country ever to leave the European Union. Anti-EU political parties are on the rise across the continent. In April, the Dutch people rejected an EU agreement with Ukraine. Even the president of the European Commission admits that "the European project has lost parts of its attractiveness".

But what is that project? And has it lost its shine? The Inquiry goes in search of the vision that inspired the EU’s founders and - with expert witnesses from Ireland, Denmark, the Netherlands and Germany - asks: what happened to the European dream?

(Photo: French Minister of Foreign Affairs Robert Schuman signs the official treaty of the Schuman Plan in 1951, which created the European Coal and Steel Community. Credit: Getty Images)

It is a surprisingly simple idea - to end long-term homelessness, give every person living on the streets a home. It can also be surprisingly effective. Medicine Hat, a city in Canada, recently became the first city to end homelessness in this way. The approach is known as Housing First, and – unlike many other homelessness initiatives – it does not require homeless people to make steps towards solving other issues like alcoholism, mental health problems or drug addiction before they get a home. But is this approach solving the problem, or simply moving it off the streets?

(Image: A homeless man with his dog outside a building. Credit to Getty)