The Irrational Atheist sacred texts are unreliable and fictitious." Day's critiques are primarily addressed towards positions supported by Richard Dawkins, Sam Harris, Christopher Hitchens, Daniel Dennett, and Michel Onfray. In 2007 writer and commentator John Derbyshire listed the work as a Christmas recommendation in an article for the conservative magazine "National Review Online". The Irrational Atheist The Irrational Atheist: Dissecting the Unholy Trinity of Dawkins, Harris, and Hitchens is a 2008 non-fiction book by Vox Day. "The Irrational Atheist" was one of a number of books including "God's Undertaker," and "The Devil's Delusion", published in response to Dawkins and other New Atheists. According
Irrational number if complex number exponentiation is used). An example that provides a simple constructive proof is The base of the left side is irrational and the right side is rational, so one must prove that the exponent on the left side, formula_17, is irrational. This is so because, by the formula relating logarithms with different bases, which we can assume, for the sake of establishing a contradiction, equals a ratio "m/n" of positive integers. Then formula_19 hence formula_20 hence formula_21 hence formula_22, which is a contradictory pair of prime factorizations and hence violates the fundamental theorem of arithmetic (unique prime factorization).