Illogical vs. Irrational

Illogicaladjective

Contrary to logic; lacking sense or sound reasoning.

Illogicaladjective

Ignorant or negligent of the rules of logic or correct reasoning; as, an illogical disputant; contrary of the rules of logic or sound reasoning; as, an illogical inference.

Illogicaladjective

lacking in correct logical relation

Illogicaladjective

lacking orderly continuity;

Irrationaladjective

Not rational; unfounded or nonsensical.

Irrationaladjective

Of a real number, that cannot be written as the ratio of two integers.

Irrationalnoun

A real number that can not be expressed as the quotient of two integers, an irrational number.

Irrationaladjective

Not rational; void of reason or understanding; as, brutes are irrational animals.

Irrationaladjective

Not according to reason; having no rational basis; clearly contrary to reason; easily disproved by reasoning; absurd; - of assertions and beliefs.

Irrationaladjective

Not capable of being exactly expressed by an integral number, nor by a ratio of integral numbers; surd; - said especially of roots. See Surd.

Irrationaladjective

not consistent with or using reason;

Irrationaladjective

real but not expressible as the quotient of two integers;