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Plus magazine opens a door to the world of maths, with all its beauty and applications, by providing articles from the top mathematicians and science writers on topics as diverse as art, medicine, cosmology and sport. You can read the latest mathematical news on the site every week, browse our blog, listen to our podcasts and keep up-to-date by subscribing to Plus (on email, RSS, Facebook, iTunes or Twitter).

Many risks we take don't kill us straight away: think of all the lifestyle frailties we get warned about, such as smoking, drinking, eating badly, not exercising and so on. The microlife aims to make all these chronic risks comparable by showing how much life we lose on average when we're exposed to them.

Some of the things I overheard at Stephen Hawking's 70th birthday conference did make me wonder whether I hadn't got the wrong building and stumbled in on a sci-fi convention. "The state of the multiverse". "The Universe is simple but strange". "The future for intelligent life is potentially infinite". And — excuse me — "the Big Bang was just the decay of our parent vacuum"?!

This is the first part of the lecture given by Astronomer Royal Martin Rees at Stephen Hawkings birthday symposium.

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"Astronomers are used to large numbers, but few are as large as the odds I'd have given this celebration today," is how Astronomer Royal Martin Rees started his presentation at Stephen Hawking's birthday symposium yesterday. He was talking about the 1960s when he first met Hawking who was then already suffering motor neurone disease. But Rees' prediction has been proved wrong. Hawking turned 70
yesterday and since the time of their...

"It's a great day for particle physics," says Ben Allanach, a theoretical physicist at the University of Cambridge. "It's very exciting, I think we're on the verge of the Higgs discovery." And indeed, it seems like the Large Hadron Collider at CERN has given particle physics an early Christmas present — compelling evidence that the famous Higgs boson exists.

Human reasoning is biased and illogical. At least that's what a huge body of psychological research seems to show. But now a psychological scientist from the University of Toulouse in France has come up with a new theory: that logical and probabilistic thinking is an intuitive part of decision making, only its conclusions often lose out to heuristic considerations.

Richard Elwes' Maths handbook is a lucid presentation of basic mathematics facts. It is intended for those who "were never any good at mathematics", for grown-ups who wish they remembered more of the maths they studied as children, or those who are intimidated by the subject. It is the latter point the author is most passionate about. This book serves as a proof that mathematics is a very natural way of thinking, and there is a reason for everything in it.

"Astronomers are used to large numbers, but few are as large as the odds I'd have given this celebration today," is how Astronomer Royal Martin Rees started his presentation at Stephen Hawking's birthday symposium yesterday. He was talking about the 1960s when he first met Hawking who was then already suffering motor neurone disease. But Rees' prediction has been proved wrong. Hawking turned 70 yesterday and since the time of their first meeting he has made enormous contributions to cosmology and physics.

Reading this book feels a bit like putting on a CD of a virtuoso pianist to help inspire my own amateur playing . It does not, and does not try to, give a real taste of what it is like to be a professional mathematician. But the book gives a good picture of a selection of the topics that mathematicians study and have studied, how those topics have developed over the last two thousand years, and how they have profoundly influenced the world around us.

How does Olympic success correlate with a nation's GNP? How does the location of the Olympics affect the chance of record breaking? How can simple statistics help us understand the likelihood of winning streaks and the chance that an innocent athlete will fail a drugs test? What events should an ambitious nation target as the "easiest" in which to win Olympic medals. John D. Barrow will explore these question and more in a free public lecture at Gresham College in London tomorrow, 17th January 2012.

What's a multiverse? What's the future for intelligent life? And what happened 380,000 after the Big Bang. Find out in these interviews with the physicists David Spergel and Raphael Bousso, who we spoke to during Stephen Hawking's 70th birthday conference.