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in the PONS Dictionary

fal·la·cy [ˈfæləsi] N

1. fallacy (false belief):

fallacy
Trugschluss m <-es, -schlüsse>
fallacy
Irrtum m <-(e)s, Ịrr·tü·mer>
a common fallacy
ein weit verbreiteter Irrtum
a complete fallacy
ein absoluter Blödsinn inf
it is a fallacy to suppose [or think] that ...
es ist ein Irrtum anzunehmen, dass ...

2. fallacy no pl form (false reasoning):

fallacy
Denkfehler m <-s, ->
fallacy
Unlogik f
fallacy of an argument
Fehlschluss m <-es, -schlüsse>