(of a number, quantity, or expression) Not expressible as a ratio of two integers, and having an infinite and nonrecurring expansion when expressed as a decimal. Examples of irrational numbers are the number π and the square root of 2
An irrational number
irrational number: a real number that cannot be expressed as a rational number
not consistent with or using reason; "irrational fears"; "irrational animals"
(irrationality) the state of being irrational; lacking powers of understanding
Irrationality is cognition, thinking, talking or acting without inclusion of rationality. The term is used, usually pejoratively, to describe thinking and actions that are, or appear to be, less useful or more illogical than other more rational alternatives.
(Irrationality) An action is irrational if it cannot be understood as the action of someone acting for a purpose. But in administrative law the term is given a special meaning, which is, roughly, 'extremely unreasonable'. ...
(irrationality) When someone else is forced to take decisions without having been provided with relevant information. Oppose rational.
(Ir-ratio-nals) Fixie or single-speed riders with a wildly impractical gear ratio for the topography of the commuting area. Typically unwitting propagandist of the “more work = better!” camp (the opposite is rare).
That which lies beyond the bounds of what can be comprehended, explained, justified or rejected by human reasoning and science. Antonym: rational (q.v.). Note: Irrational does not mean incorrect or impractical reasoning, but the total absence of any reasoning.
Not capable of being expressed exactly as the ratio of two integers.
(1) The opposite of rational. Only valid arguments are rational. Therefore, an argument may be valid (rational), but not true. Or, must the argument be both valid and true for it avoid being irrational? ...
a number that extends out to infinity and cannot be represented by a fraction
contrary to or lacking in reason or logic.
Some people believe in what is known as the efficient market hypothesis (EMH), which states that stocks are generally purchased correctly, and therefore, it is very difficult to beat the market. ...