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Wordnet 3.0

ADVERB (2)

1. according to logical reasoning;
- Example: "logically, you should now do the same to him"

2. in a logical manner;
- Example: "he acted logically under the circumstances"


The Collaborative International Dictionary of English v.0.48:

Logically \Log"ic*al*ly\, adv. In a logical manner; as, to argue logically. [1913 Webster]
WordNet (r) 3.0 (2006):

logically adv 1: according to logical reasoning; "logically, you should now do the same to him" 2: in a logical manner; "he acted logically under the circumstances" [ant: illogically]