Irrational vs. Illogical

Irrational vs. Illogical — Is There a Difference?
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Difference Between Irrational and Illogical

Irrationaladjective

Not rational; unfounded or nonsensical.

an irrational decision

Illogicaladjective

Contrary to logic; lacking sense or sound reasoning.

I received an illogical reply and that left me standing there feeling confused.

Irrationaladjective

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

The number π is irrational.

Illogicaladjective

lacking in correct logical relation

Irrationalnoun

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

Illogicaladjective

lacking orderly continuity;

a confused set of instructionsa confused dream about the end of the worlddisconnected fragments of a storyscattered thoughts
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Irrationaladjective

not consistent with or using reason;

irrational fearsirrational animals

Irrationaladjective

real but not expressible as the quotient of two integers;

irrational numbers