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The Collaborative International Dictionary
Metempirical

Metempiric \Met`em*pir"ic\, Metempirical \Met`em*pir"ic*al\, a. [Pref. met- + empiric, -ical.] (Metaph.) Related, or belonging, to the objects of knowledge within the province of metempirics.

If then the empirical designates the province we include within the range of science, the province we exclude may be fitly styled the metempirical.
--G. H. Lewes.

Wiktionary
metempirical

a. (alternative form of metempiric English)

Usage examples of "metempirical".

All that was bold and noble and happy in created sound burst from the metempirical quills, and it was a blasphemy not to rejoice.