The Irrational Atheist 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 to "Publishers Weekly", Day takes on the arguments and conclusions of New Atheism "from a nontheological perspective in The Irrational Atheist (BenBella, Feb.), relying on factual evidence to counter atheist claims that religion causes war, that religious people are more apt to commit crime and that the Bible and other
Proof that e is irrational 1. For all terms with we have the upper estimate This inequality is strict for every "n" ≥ "b" + 2. Changing the index of summation to "k" = "n" – "b" and using the formula for the infinite geometric series, we obtain Since there is no integer strictly between 0 and 1, we have reached a contradiction, and so "e" must be irrational. Q.E.D. Another proof can be obtained from the previous one by noting that and this inequality is equivalent to the assertion that "bx" < 1. This is impossible, of course, since "b" and "x" are natural