Difference between Incoherent and Irrational

INCOHERENT vs IRRATIONAL: NOUN

An irrational number.
A prime number.
In mathematics, an irrational number, that is, the mark of a cut which separates all rational numbers into two classes, the first having no greatest number, the second no least.
That which is devoid of reason, as one of the lower animals.
A real number that can not be expressed as the quotient of two integers, an irrational number.

(physics) of waves having no stable definite or stable phase relation
Not physically coherent; loose; unconnected.
Lacking coherence or agreement; incongruous; inconsistent; not logically connected.
Lacking harmony or congruity of parts.
Exhibiting incoherent{2} speech or thought; -- of people.
Lacking logical coherence or agreement; incongruous; inconsistent; having no dependence of one part on another; logically disconnected; rambling; -- of speech or discourse.
Not coherent; wanting cohesion; loose; unconnected; physically disconnected; not fixed to each; -- said of material substances.
Lacking cohesion, connection, or harmony; not coherent.
Without logical or meaningful connection
Unable to express yourself clearly or fluently
Unable to think or express your thoughts in a clear or orderly manner

Not endowed with reason.
Not consistent with or using reason
Real but not expressible as the quotient of two integers
Affected by loss of usual or normal mental clarity; incoherent, as from shock.
Marked by a lack of accord with reason or sound judgment.
Being a metric foot containing such a syllable.
Of or relating to an irrational number.
Not rational; void of reason or understanding.
Not according to reason; having no rational basis; clearly contrary to reason; easily disproved by reasoning; absurd; -- of assertions and beliefs.
Not capable of being exactly expressed by an integral number, nor by a ratio of integral numbers; surd; -- said especially of roots. See Surd.
Not rational; unfounded or nonsensical.
Of a real number, that cannot be written as the ratio of two integers.
Being a syllable in Greek and Latin prosody whose length does not fit the metric pattern.

In geology, noting textures consisting of loose sediments which have never been cemented.
Without physical coherence or cohesion; loose; unconnected; not coalescing or uniting.
Without coherence or agreement; not properly related or coördinated;incongruous; inconsistent; inconsecutive: chiefly used of immaterial things: as, incoherent thoughts.

In Greek prosody, incapable of measurement in terms of the fundamental or primary time or metrical unit.
In algebra, noting a quantity involving a variable raised to a fractional power; or. in a wider sense, noting a quantity not rational, not a sum of products of constants and of variables into one another or into themselves.
In translations of Euclid, and cognate writings, at once incommensurable with the assumed unit and not having its square commensurable with that of the unit. This is the peculiar meaning given by Euclid to α%27λογος, though Plato uses it in sense , above.
In mathematics: In arithmetic, not capable of being exactly expressed by a vulgar fraction, proper or improper; surd.
Without the quality of reason; contrary to reason; illogical; unreasonable: as, irrational motives; an irrational project.
Not rational; without the faculty of reason; void of understanding; unreasoning.

Delusional, Contradictory, Coherent, Unarticulate, Tongue tied, Unconnected, Scattered, Disconnected, Disordered, Illogical, Irrational, Confused, Garbled, Inarticulate, Disjointed

Unjustified, Irresponsible, Perverse, Insane, Rational, Illogical, Reasonless, Yellow, Blind, Jaundiced, Superstitious, Incoherent, Unreasoning, Unreasonable, Nonrational

Delusional, Contradictory, Coherent, Unarticulate, Tongue tied, Unconnected, Scattered, Disconnected, Disordered, Illogical, Irrational, Confused, Garbled, Inarticulate, Disjointed

Unjustified, Irresponsible, Perverse, Insane, Rational, Illogical, Reasonless, Yellow, Blind, Jaundiced, Superstitious, Incoherent, Unreasoning, Unreasonable, Nonrational

DC circuit can exhibit coherence and incoherent oscillation.
Diarrhea of the mouth; excessive, often incoherent talkativeness.
Catholic understanding of transubstantiation was empty and incoherent.
The federal obstruction of justice statutes are incoherent.
It leads to a scatterbrained and incoherent approach.
However, there is truth in the incoherent rambling.
Coherent and incoherent serial connection of scattering centers.
Antifederalists as incoherent and irrelevant, for the Articles, according to the leading Antifederalists, were incoherent and irrelevant.
Italy has gone from one weak, incoherent government to another weak, incoherent government.
We certainly agree that AAUP has constructed an incoherent argument and then labeled it incoherent.

So is there a magic answer about what exactly makes us irrational, and how those solutions designed for irrational humans are different?
When two irrational numbers are multiplied or divided, the product is sometimes rational and sometimes irrational.
When an irrational number and a rational number are added or subtracted, the sum is irrational.
The product of a rational number and an irrational number is SOMETIMES irrational.
When the square root of an irrational number is taken, does it have to be irrational?
Irrational love and irrational hate jostling together in the heart of that tormented man.
The product of two irrational numbers, in some cases, will be irrational.
Prove or disprove that the product of two irrational numbers is irrational.
Predictably Irrational, behavioral economist Dan Ariely claims that irrational.
The sum of an irrational number and an irrational number is irrational.