Rule of Explosion/Explanation

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Proof Rule

The Rule of Explosion can be expressed in natural language as:

If you can prove a contradiction, you can prove anything.

Compare this with the colloquial expression:

"If England win the World Cup this year, then I'm a kangaroo."

The assumption is that the concept of England winning the world cup is an inherent contradiction (it being taken worldwide as a self-evident truth that England will never win the World Cup again). Therefore, if England does win the World Cup this year, then this would imply a falsehood as the author of this page is certainly human.

This rule is denied validity in the system of Johansson's minimal logic.