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The two envelopes problem solved
Here's a resolution for one of probability theory's most famous paradoxes.
Content about “ paradox
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Visual curiosities and mathematical paradoxes
When your eyes see a picture they send an image to your brain, which your brain then has to make sense of. But sometimes your brain gets it wrong. The result is an optical illusion. Similarly in logic, statements or figures can lead to contradictory conclusions, which we call paradoxes. This article looks at examples of geometric optical illusions and paradoxes and gives explanations of what's really going on.
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All about averages
Did you know that you can't average averages? Or that Paris is rainier than London? Explore the dangers that face the unwary when using a single number to summarise complex data.
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The origins of proof III: Proof and puzzles through the ages
For millennia, puzzles and paradoxes have forced mathematicians to continually rethink their ideas of what proofs actually are. Jon Walthoe explains the tricks involved and how great thinkers like Pythagoras, Newton and Gödel tackled the problems.
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A postcard from Italy
Eugen Jost is a Swiss artist whose work is strongly influenced by mathematics. He sent us this Postcard from Italy, telling us about his work and the important roles that nature and numbers play in it.