Henri Poincaré, the world's greatest mathematician, died over a century ago. His mistakes, on the other hand, are proof that even the greatest minds can sometimes be mistaken.

Dr Cédric Villani, director of Pierre and Marie Curie University's Institut Henri Poincaré and recipient of the Fields Medal, gave a talk about Henri Poincaré at the Faculty of Mathematics and Physics, University of Ljubljana.

A sinister threat is brewing deep inside the technology laboratories of Silicon Valley. Artificial Intelligence, disguised as helpful digital assistants and self-driving vehicles, is gaining a foothold – and it could one day spell the end for mankind. This is according to Stephen Hawking who has warned that humanity faces an uncertain future as technology learns to think for itself and adapt to its environment. A group of scientists and entrepreneurs, including Elon Musk and Stephen Hawking (pictured), have signed an open letter promising to ensure AI research benefits humanity. Google has set up an ethics board to oversee its work in artificial intelligence.

One of the most intriguing public discussions to emerge over the past year is humanity's wrestling match with the threat and promise of artificial intelligence. AI has long lurked in our collective consciousness -- negatively so, if we're to take Hollywood movie plots as our guide -- but its recent andvery real advances are driving critical conversations about the future not only of our economy, but of humanity's very existence. In May 2014, the world received a wakeup call from famed physicist Stephen Hawking. Together with three respected AI researchers, the world's most renowned scientist warned that the commercially-driven creation of intelligent machines could be "potentially our worst mistake in history." Comparing the impact of AI on humanity to the arrival of "a superior alien species," Hawking and his co-authors found humanity's current state of preparedness deeply wanting.