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A game you're almost certain to lose...

What are the challenges of communicating from the frontiers of mathematical research, and why should we be doing it?

Maths meets politics as early career mathematicians present their work at the Houses of Parliament.

Celebrate this year's International Women's Day with some of the articles and podcasts we have produced with women mathematicians over the last year!

How to sum an infinite series using chocolate.

"Do you shave yourself? If not, come in and I'll shave you! I shave anyone who does not shave himself, and no one else."

"Does the barber

shavehimself? If he does, then he mustn't, because he doesn't shave men who shave themselves, but then he doesn't, so he must, because he shaves every man who doesn't shave himself... and so on. Both possibilities lead to a contradiction. "A seemingly true paradox, but really just a

naive question.The parameters of the question are undefined.For instance; what defines a "shave"?Is it considered a shave when you:

A.Remove all the hair from your face?B.The initial cutting of hair that defines a shave?Lets define this by way of common language:

I can start to shave and stop to answer the phone,

most likely my wife reminding me to shave,

so I answer,

"I am not done shaving but I was shaving"So by the aforementioned conversation, the "act of shaving" is the term by which we agree to acknowledge what consitutes a shave. There for by this "definition" the answer would have to be;

He would start to shave himself but never finish and from the point on only get some one else to shave him...