Irrational Man (1883-1891) Nietzsche's "most lyrical book" and "the expression of the loneliest Nietzsche." Finally, Barrett applies existentialist thought to the world of the late 1950s, during the Cold War. "Irrational Man" includes two appendices, "Negation, Finitude, and the Nature of Man", which reprints a 1957 paper by Barrett, and "Existence and Analytic Philosophers", a highly technical discussion of existentialism in relation to analytic philosophy. "Irrational Man" was first published in 1958 by Doubleday & Company, Inc. Later editions include those published by Greenwood Press, Inc. in 1977 and Anchor Books in 1990. "Irrational Man" received a positive review from Robert Jordan
Irrational number can never be expressed as a quotient of integers "m"/"n" with "n" ≠ 0. Cases such as log 2 can be treated similarly. Almost all irrational numbers are transcendental and all real transcendental numbers are irrational (there are also complex transcendental numbers): the article on transcendental numbers lists several examples. So "e" and π are irrational for all nonzero rational "r", and, e.g., "e" is irrational, too. Irrational numbers can also be found within the countable set of real algebraic numbers (essentially defined as the real roots of polynomials with integer coefficients), i.e., as real solutions of polynomial equations where