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Author: Marianne Freiberger
What are mathematical proofs, why do we need them and what can they say about sheep? 

There's been progress on one of the biggest open problems in maths: the twin prime conjecture. 
If I tell you that it's Monday today, then you know it's not any of the other six days of the week. Perhaps the information content of my statement should be measured in terms of the number of all the other possibilities it excludes? Back in the 1920s this consideration led to a very simple formula to measure information. 