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Synonyms
log·i·cal (lŏj́ĭ-kəl)

adjective 

  1. Of, relating to, in accordance with, or of the nature of logic.
  2. Based on earlier or otherwise known statements, events, or conditions; reasonable: Rain was a logical expectation, given the time of year.
  3. Reasoning or capable of reasoning in a clear and consistent manner.

derivatives

loǵi·caĺi·ty
noun
loǵi·cal·ly
adverb

synonyms:

logical, analytic, ratiocinative, rational These adjectives mean capable of or reflecting the capability for correct and valid reasoning: a logical mind; an analytic thinker; the ratiocinative process; a rational being.
Antonym: illogical