Transcendental Numbers
Examples of usage of transcendental numbers 1] Transcendental numbers transcend human experience “… Transcendental Numbers are in a word, profound. For they excel, surpass and transcend human experience . They are synonyms of peerless, incomparable, unequaled, matchless, unrivaled, unparalleled, unique, consummate, paramount, superior, surpassing, supreme, preeminent, sublime, excelling, superb, magnificent, marvelous, and... well, transcendental. Mathematically, they are, by definition, “not capable of being produced by the algebraic operations of addition, multiplication, and involution, or any of the inverse operations.”[1] Philosophically, they are “existing apart from, not subject to the limitations of, the material universe”, not to mention: “ 1 transcendent 2a (in Kantian philosophy) presupposed in and necessary to experience; a priori. b (in Schelling’s philosophy) explaining matter and objective things as products of the subjective mind. c (esp. in Emerson’s philosophy) regarding the divine as the guiding principle in man. 3 a visionary; abstract b vague; obscure.” That should about cover it” http://www.halexandria.org/dward089.htm 2] Transcendental numbers are versatile “… I am in love with the mysterious transcendental numbers. Did you know that there are "more" transcendental numbers than the more familiar algebraic ones? Even so, only a few classes of transcendental numbers are known to humans , and it's very difficult to prove that a particular number is transcendental. In 1844, math genius Joseph Liouville (1809-1882) was the first to prove the existence of transcendental numbers. (More precisely, he was the first to prove that a specific number was transcendental.) Hermite proved that the number e was transcendental in 1873. Lindeman proved that pi was transcendental in 1882.
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