irrational

nouns

a real number that cannot be expressed as a rational number

adjectives

not consistent with or using reason
"irrational fears"; "irrational animals"
is derived from
antonym
is similar to
not based on reason or evidence
"blind hatred"; "blind faith"; "unreasoning panic"
is similar to
not endowed with the capacity to reason
"a reasonless brute"
is similar to
not based on reason
"there is a great deal that is nonrational in modern culture"
is similar to
showing ignorance of the laws of nature and faith in magic or chance
"finally realized that the horror he felt was superstitious in origin"
see also
without logical or meaningful connection
"a turgid incoherent presentation"
see also
lacking in correct logical relation
see also
not reasonable; not showing good judgment
real but not expressible as the quotient of two integers
"irrational numbers"
antonym
pertains to
domain category
a science (or group of related sciences) dealing with the logic of quantity and shape and arrangement