reasoning,
thinking,
intelligent having the capacity for thought and reason especially to a high degree; "is there intelligent life in the universe?"; "an intelligent question"
rational -
capable of being expressed as a quotient of integers; "rational numbers"
irrational not consistent with or using reason; "irrational fears"; "irrational animals"
math,
mathematics,
maths a science (or group of related sciences) dealing with the logic of quantity and shape and arrangement
rational -
having its source in or being guided by the intellect (as distinguished from experience or emotion); "a rational analysis"
intellectual appealing to or using the intellect; "satire is an intellectual weapon"; "intellectual workers engaged in creative literary or artistic or scientific labor"; "has tremendous intellectual sympathy for oppressed people"; "coldly intellectual"; "sort of the intellectual type"; "intellectual literature"
Rational -
of or associated with or requiring the use of the mind; "intellectual problems"; "the triumph of the rational over the animal side of man"
