Etymology
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logical (adj.)

early 15c., "based on reason, according to the principles of logic," from logic + -al (1). Meaning "pertaining to logic" is c. 1500. Attested from 1860 as "following as a reasonable consequence." Related: Logically. Logical positivism, in reference to the ideas of the Vienna Circle of philosophers, is from 1931.

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Definitions of logical

logical (adj.)
capable of thinking and expressing yourself in a clear and consistent manner;
Synonyms: coherent / lucid
logical (adj.)
capable of or reflecting the capability for correct and valid reasoning;
a logical mind
logical (adj.)
based on known statements or events or conditions;
rain was a logical expectation, given the time of year
Synonyms: legitimate
logical (adj.)
marked by an orderly, logical, and aesthetically consistent relation of parts;
Synonyms: coherent / consistent / ordered
From wordnet.princeton.edu