Difference between Irrational and Perverse

IRRATIONAL vs PERVERSE: NOUN

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.
A prime number.
An irrational number.
A real number that can not be expressed as the quotient of two integers, an irrational number.
That which is devoid of reason, as one of the lower animals.

A geometrical form related to another (of which it is said t. be the perverse) as the form of the image of an object in a plane mirror is to that of the object itself.

Not rational; void of reason or understanding.
Of or relating to an irrational number.
Not consistent with or using reason
Being a syllable in Greek and Latin prosody whose length does not fit the metric pattern.
Marked by a lack of accord with reason or sound judgment.
Affected by loss of usual or normal mental clarity; incoherent, as from shock.
Not endowed with reason.
Real but not expressible as the quotient of two integers
Being a metric foot containing such a syllable.
Of a real number, that cannot be written as the ratio of two integers.
Not rational; unfounded or nonsensical.
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.

Deviating from what is considered moral or right or proper or good
Ignoring the evidence or the judge's opinions.
Obstinate in the wrong; stubborn; intractable; hence, wayward; vexing; contrary.
Turned aside; hence, specifically, turned away from the right; willfully erring; wicked; perverted.
Having an effect opposite to what is intended or expected.
Characterized by or resulting from willful opposition or resistance to what is right, expected, or reasonable.
Contrary to what is right or good; wicked or depraved.
Marked by immorality; deviating from what is considered right or proper or good
Resistant to guidance or discipline
Marked by a disposition to oppose and contradict

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.

Untoward: as, ‘event perverse!”
Cross; petulant; peevish; disposed to cross and vex.
Obstinate in the wrong; disposed to be contrary; stubborn; untractable; self-willed.
Turned away or deviating from what is right, proper, correct, etc.; perverted.

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

Pernicious, Paradoxical, Irrational, Illogical, Absurd, Negative, Disobedient, Wayward, Obstinate, Corrupt, Contrary, Reprobate, Immoral, Depraved, Perverted

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

Pernicious, Paradoxical, Irrational, Illogical, Absurd, Negative, Disobedient, Wayward, Obstinate, Corrupt, Contrary, Reprobate, Immoral, Depraved, Perverted

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.

How perverse, gross and somewhat grotesque they were.
God bear with this wicked and perverse generation?
The Founders cannot have intended this perverse result.
But with the perverse you show yourself crafty.
Perverse men are thus sent down to Hell.
Polyamory has not undergone a Foucaultian perverse implantation.
For one thing, it might have perverse consequences.
Maybe they would produce perverse and bizarre results.
Odd perverse and its about your evony characters.
Sure it may be considered a perverse thing to do, but sometimes perverse problems call for perverse solutions.