As the noted philosopher Chris Martin from Coldplay says, “everything’s not lost”. Only England could be so down and out yet do it in such a way that there is still a sliver of hope. After all, it’s the hope that kills you and as another noted philosopher stated last night, supporting England isn’t supposed to be easy.

Still, as higher mathematicians everywhere are pointing out, the fat lady has not yet sung for England. But there’s every chance it’s just because she’s been delayed in traffic. For the most optimistic among you, our resident Emeritus Professor of Hard Sums Dotmund has provided you with a handy guide to the circumstances by which the Three Lions can still make it to the knockout stages.

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