irrational

Defying sound reasoning

Irrational describes thinking or behavior not guided by reason: an irrational fear of spiders, She became irrational when confronted with the evidence.

The word often implies emotion overriding logic.

In mathematics, an irrational number cannot be expressed as a ratio of two integers—pi and the square root of 2 are irrational.

The mathematical and everyday senses share the idea of something that doesn't resolve neatly.

cognitive

bias

Unfair inclination or prejudice

fallacyError in reasoning
superstitionBaseless belief in omens
delusionStubbornly held false belief

cognitive distortion · magical thinking · belief · conspiracy · unfounded · baseless · groundless · unjustified · nonsensical · absurd

emotional

unreasonable

Not guided by reason

illogicalContrary to valid reasoning
hystericalEmotionally out of control
overwroughtExcessively emotional or elaborate

panic · fear · phobia · outburst · tantrum · meltdown · jealousy · paranoia · anxiety · rage

philosophical

Enlightenment

Era prioritizing reason over dogma

logosBrand identification symbols
rationalismReason as knowledge source
DescartesCogito ergo sum's author

Hume · passion · will · Nietzsche · existential · absurdism · Camus · Kierkegaard · leap of faith · romanticism

mathematical

number

Symbol representing quantity

piCircle's fundamental ratio
sqrtNumber's self-multiplier origin
rootUnderground absorbing structure

incommensurable · decimal · transcendental · surd · Pythagorean · proof · diagonal · golden ratio · e · infinite

irrational

bias

unreasonable

Enlightenment

number

irrational

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