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alogical

[ey-loj-i-kuh l]
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adjective
  1. beyond the scope of logic or logical reasoning: alogical philosophical speculations.
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Origin of alogical

First recorded in 1685–95; a-6 + logical
Related formsa·log·i·cal·ly, adverb
Dictionary.com Unabridged Based on the Random House Unabridged Dictionary, © Random House, Inc. 2018