Proving things is fine when the mathematics works. But sometimes proofs can be deceptive, and the world a tad paradoxical. This is a fun unit which really challenges the mathematically able. It is hard enough to get your head around paradoxes, let alone explain them in words. Then there are proofs which look perfect, but they prove the impossible. These tasks will frustrate and inspire – at the same time!
Liar Paradoxes Paradoxes Vanishing Line Five Hats and a Dome Truth and Lies Too Amazing Overworked Algebraic Paradox Horrible Triangles |
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Bibliography: A list of the books which have served to inspire tasks within the EUMY Mathematics set.
Acknowledgements. The author would like to acknowledge the invaluable assistance of her mathematical models who appear throughout these tasks:
Epsilon-pi and Smidgin Ubiquitous 
We call them Epsi and Smidge!