Philosophy
Various philosophers have proposed definitions of what genius is and what that implies in the context of their philosophical theories.
In the philosophy of David Hume, the way society perceives genius is similar to the way society perceives the ignorant. Hume states that a person with the characteristics of a genius is looked at as a person disconnected from society, as well as a person who works remotely, at a distance, away from the rest of the world. On the other hand, the mere ignorant is still more despised; nor is any thing deemed a surer sign of an illiberal genius in an age and nation where the sciences flourish, than to be entirely destitute of all relish for those noble entertainments. The most perfect character is supposed to lie between those extremes; retaining an equal ability and taste for books, company, and business; preserving in conversation that discernment and delicacy which arise from polite letters; and in business, that probity and accuracy which are the natural result of a just philosophy.
In the philosophy of Immanuel Kant, genius is the ability to independently arrive at and understand concepts that would normally have to be taught by another person. For Kant, originality was the essential character of genius. The artworks of the Kantian genius are also characterized by their exemplarity which is imitated by other artists and serve as a rule for other aesthetical judgements. This genius is a talent for producing ideas which can be described as non-imitative. Kant's discussion of the characteristics of genius is largely contained within the Critique of Judgment and was well received by the Romantics of the early 19th century. In addition, much of Schopenhauer's theory of genius, particularly regarding talent and freedom from constraint, is directly derived from paragraphs of Part I of Kant's Critique of Judgment.
Genius is a talent for producing something for which no determinate rule can be given, not a predisposition consisting of a skill for something that can be learned by following some rule or other.
In the philosophy of Arthur Schopenhauer, a genius is someone in whom intellect predominates over "will" much more than within the average person. In Schopenhauer's aesthetics, this predominance of the intellect over the will allows the genius to create artistic or academic works that are objects of pure, disinterested contemplation, the chief criterion of the aesthetic experience for Schopenhauer. Their remoteness from mundane concerns means that Schopenhauer's geniuses often display maladaptive traits in more mundane concerns; in Schopenhauer's words, they fall into the mire while gazing at the stars, an allusion to Plato's dialogue Theætetus, in which Socrates tells of Thales (the first philosopher) being ridiculed for falling in such circumstances. As he says in Volume 2 of The World as Will and Representation:
Talent hits a target no one else can hit; Genius hits a target no one else can see.
In the philosophy of Thomas Carlyle, genius is called (in Past and Present) "the inspired gift of God"; the "Man of Genius" possesses "the presence of God Most High in a man". The actions of the "Man of Genius" can manifest this in various ways: in his "transcendent capacity of taking trouble" (often misquoted as "an infinite capacity for taking pains"), in that he can "recognise how every object has a divine beauty in it" as a poet or painter does, or in that he has "an original power of thinking". In accordance with his Great Man theory, Carlyle considered such individuals as Odin, William the Conqueror and Frederick the Great to be "Men of Genius".
In the philosophy of Bertrand Russell, genius entails that an individual possesses unique qualities and talents that make the genius especially valuable to the society in which he or she operates, once given the chance to contribute to society. Russell's philosophy further maintains, however, that it is possible for such geniuses to be crushed in their youth and lost forever when the environment around them is unsympathetic to their potential maladaptive traits. Russell rejected the notion he believed was popular during his lifetime that, "genius will out".
In his classic work The Limitations of Science, J. W. N. Sullivan discussed a utilitarian philosophy on the retrospective classification of genius. Namely, scholarship that is so original that, were it not for that particular contributor, would not have emerged until much later (if ever) is characteristic of genius. Conversely, scholarship that was ripe for development, no matter how profound or prominent, is not necessarily indicative of genius.