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The Collaborative International Dictionary
Metalogical

Metalogical \Met`a*log"ic*al\, a. Beyond the scope or province of logic.

Wiktionary
metalogical

a. Of or pertaining to metalogic.

Usage examples of "metalogical".

We need a metalogical language to build into our computer-driven machine.

But I think I can provide meaningful sounds for our notation, which means all we have to do is come up with a metalogical language.

Against all conventions of modern warfare he has resorted to LMW, linguistic and metalogical warfare.