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The Collaborative International Dictionary
Implausibly

Implausible \Im*plau"si*ble\, a. [Pref. im- not + plausible: cf. F. implausible.] Not plausible; not wearing the appearance of truth or credibility, and not likely to be believed. ``Implausible harangues.''
--Swift. -- Im*plau"si*ble*ness, n. -- Im*plau"si*bly, adv.

Wiktionary
implausibly

adv. In an implausible or dubious manner.

WordNet
implausibly

adv. not easy to believe; "behind you the coastal hills plunge to the incredibly blue sea backed by the Turkish mountains" [syn: incredibly, improbably, unbelievably] [ant: believably, credibly]

Usage examples of "implausibly".

The Czechs - like other central and east European countries - mistook a transatlantic tiff for a geopolitical divorce and tried to implausibly capitalize on the yawning rift that opened between the erstwhile allies.

The shaping and coloring and chemical flavoring were so implausibly industrial that there was not even a pretense that it was anything other than soy, kelp, compacted crill, polyfiber, or bulked corn syrup.

Teller has contended, not implausibly, that hydrogen bombs keep the peace, or at least prevent thermonuclear war, because the consequences of warfare between nuclear powers are now too dangerous.