Difference between Irrational and Superstitious

IRRATIONAL vs SUPERSTITIOUS: NOUN

An irrational 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.
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 prime number.

Not consistent with or using reason
Being a metric foot containing such a syllable.
Of or relating to an irrational number.
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
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.
Not rational; void of reason or understanding.

Arising from or having the character of superstitions.
Susceptible to superstitions.
Showing ignorance or the laws of nature and faith in magic or chance
The use of a gift or bequest, as of land, etc., for the maintenance of the rites of a religion not tolerated by the law.
Overexact; scrupulous beyond need.
Inclined to believe in superstition.
Of, characterized by, or proceeding from superstition.
Of or pertaining to superstition; proceeding from, or manifesting, superstition.

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.

Pertaining to, partaking of, or proceeding from superstition: as, superstitious rites.
Over-exact; scrupulous beyond need, as from credulous fear.
Idolatrously devoted.
Believing superstitions, religious or other; addicted to superstition; especially, very scrupulous and rigid in religious observances through fear or credulity; full of idle fancies and scruples in regard to religion.

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

Silly, Fanatical, Dogmatic, Selfish, Foolish, Supernatural, Fatalistic, Devout, Paranoid, Animistic, Mystical, Old, Blind, Superstition, Irrational

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

Cynical, Silly, Fanatical, Dogmatic, Selfish, Foolish, Supernatural, Fatalistic, Devout, Paranoid, Animistic, Mystical, Old, Blind, Irrational

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.

What a superstitious mug you turned out to be.
This is numerology worming its superstitious way into biology.
They do seem like a very superstitious people though.
This is true even if you are not superstitious.
People who spend their lives at sea are superstitious.
Social transmission of superstitious behavior in preschool children.
Why are major league baseball players so superstitious?
Rural Burmese are said to be especially superstitious.
Are you a superstitious person and what are you mostly superstitious about?
Other liberal theologians say that demons are nothing but superstitious beliefs and Jesus was just playing along with those who had these superstitious beliefs.