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The Collaborative International Dictionary
Inferentially

Inferentially \In`fer*en"tial*ly\, adv. By way of inference; using inference.

Wiktionary
inferentially

adv. With respect to, or by means of, inference

Usage examples of "inferentially".

Yet, this wild hint seemed inferentially negatived, by what a grey Manxman insinuated, an old sepulchral man, who, having never before sailed out of Nantucket, had never ere this laid eye upon wild Ahab.

This retroductive approach has been enormously successful, especially in inferentially discovering causes that are subsequently observed.