Paradoxes of Material Implication/Historical Note

Historical Note on Paradoxes of Material Implication

The Paradoxes of Material Implication have caused debate and puzzlement among philosophers for millennia.

In particular, the result $\neg p \vdash p \implies q$ is known as a vacuous truth. It is exemplified by the (rhetorical) argument:

If England win the Ashes this year, then I'm a monkey's uncle.
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