illogicity means the quality, state or condition of being illogical.
Etymology
From illogic + -icity.
noun
- The quality, state or condition of being illogical.“It must be clear by now that I was not — and am not now — that literal a person in relationship to time or place, but there was a reason, I believe, for this illogicity — the forging of the Dream, and it haunts and wracks the manuscript to this date.”