Nonrational

[rash-uh-nl, rash-nl] /ˈræʃ ə nl, ˈræʃ nl/

adjective
1.
agreeable to reason; reasonable; sensible:
a rational plan for economic development.
2.
having or exercising reason, sound judgment, or good sense:
a calm and rational negotiator.
3.
being in or characterized by full possession of one’s reason; sane; lucid:
The patient appeared perfectly rational.
4.
endowed with the faculty of reason:
rational beings.
5.
of, relating to, or constituting reasoning powers:
the rational faculty.
6.
proceeding or derived from reason or based on reasoning:
a rational explanation.
7.
Mathematics.

8.
Classical Prosody. capable of measurement in terms of the metrical unit or mora.
noun
9.
Mathematics. .
/nɒnˈræʃənəl/
adjective
1.
not in accordance with the principles of logic or reason
/ˈræʃənəl/
adjective
1.
using reason or logic in thinking out a problem
2.
in accordance with the principles of logic or reason; reasonable
3.
of sound mind; sane: the patient seemed quite rational
4.
endowed with the capacity to reason; capable of logical thought: man is a rational being
5.
(maths) expressible as a ratio of two integers or polynomials: a rational number; a rational function
noun
6.
(maths) a rational number
adj.

late 14c., “pertaining to reason;” mid-15c., “endowed with reason,” from Old French racionel and directly from Latin rationalis “of or belonging to reason, reasonable,” from ratio (genitive rationis) “reckoning, calculation, reason” (see ratio).

rational ra·tion·al (rāsh’ə-nəl)
adj.