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
Proof that e is irrational fraction, "e" is irrational. A short proof of the previous equality is known. Since the simple continued fraction of "e" is not periodic, this also proves that "e" is not a root of second degree polynomial with rational coefficients; in particular, "e" is irrational. The most well-known proof is Joseph Fourier's proof by contradiction, which is based upon the equality Initially "e" is assumed to be a rational number of the form ⁄. Note that "b" could not be equal to 1 as "e" is not an integer. It can be shown using the above equality that "e" is strictly