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"Similarly, one might suppose that the farther a star is, the fainter it is. This is true, but this also cannot be the answer. If we look at a portion of the night sky, the very distant stars are indeed faint, but there are also more stars the farther you look. These two effects would exactly cancel in a uniform universe, leaving the night sky white. (This is because the intensity of starlight decreases as the square of the distance, which is canceled by the fact that the number of stars goes up as the square of the distance.)I was surprised to discover that "Eureka" is not included in the 5 volume Raven edition of Poe's works and also does not appear in Complete Poetical Works of Edgar Allan Poe by John Ingram."Oddly enough, the first person in history to solve the paradox as the American mystery writer Edgar Allan Poe, who had a long-term interest in astronomy. Just before he died, he published many of his observations in a rambling, philosophical poem called Eureka: A Prose Poem. In a remarkable passage, he wrote:
"'Were the succession of stars endless, then the background of the sky would present us an uniform luminosity, like that displayed by the Galaxy -- since there could be absolutely no point, in all that background, at which would not exist a star. The only mode, therefore, in which, under such a state of affairs, we could comprehend the voids which our telescopes find in innumerable directions, would be by supposing that the distance of the invisible background [is] so immense that no ray from it has yet been able to reach us at all.'
"He concluded by noting that the idea 'is by far too beautiful not to possess Truth as its essentiality.'
"This is the key to the correct answer. The universe is not infinitely old. There was a Genesis. There is a finite cutoff to the light that reaches our eye. Light from the most distant stars has not yet had time to reach us. cosmologist Edward Harrison, who was the first to discover that Poe ahd solved Olbers' paradox, has written, 'When I first read Poe's words I was astounded: How could a poet, at best an amateur scientist, have perceived the right explanation 40 years ago when in our colleges the wrong explanation... is still being taught.'"
I eventually found it at the Web site of the Edgar Allan Poe Society of Baltimore http://www.eapoe.org/works/index.htm That's a great resource for Poe fans.
According to the Edgar Allan Poe Society of Baltimore Eureka was published around August 1848. "The number of copies printed is uncertain. Although Poe dearly wanted an edition of 50,000 copies, apparently only 500 were printed."
According to Wikipedia:
"Eureka, an essay written in 1848, included a cosmological theory that
anticipated black holes and the big bang theory by 80 years, as well as
the first plausible solution to Olbers' paradox. Though described as a
"prose poem" by Poe, who wished it to be considered as art, this work is
a remarkable scientific and mystical essay unlike any of his other works.
He wrote that he considered Eureka to be his career masterpiece.
"Poe eschewed the scientific method in his Eureka. He argued that he wrote from pure intuition, not the Aristotelian a priori method of axioms and syllogisms, nor the empirical method of modern science set forth by Francis Bacon. For this reason, he considered it a work of art, not science, but insisted that it was still true. Though some of his assertions have later proven to be false (such as his assertion that gravity must be the strongest force—it is actually the weakest), others have been shown to be surprisingly accurate and decades ahead of their time."