Pi - Clarification — OZONE Asylum, home of the Mad Scientists

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Your Text: Insert Slimies » Insert UBB Code » Close Last Tag \| All Tags UBB Help	Just my two cents: 1) One is the identity element for the integers under multiplication; this is really its fundamental property that we are considering here, and this is how it should be considered. 2) Pi has a couple of very interesting features: firstly, while its digits never 'end', the "don't end" in a very specific way: they never repeat, and thus pi is _irrational_, but also, it is not expressible as the solution of _any_ finite polynomial equation, and this is _transcendental_. Proving either of these last two facts, however, provides a mild challenge (undergrad maths has only shown me its irrationality, not even its transcendentality yet) Wrayal [edit] Also, I would contend, and I hope not too contentiously, that proofs are, essentially by definition, perfect. Given a rigorous set of axioms together with a derivation, they are perfect in a way I've found unique to Maths [/edit] [url=http://www.wrayal.org][img]http://www.wrayal.org/JS/asylum.JPG[/img][/url] [small](Edited by [url=http://www.ozoneasylum.com/user/3481]wrayal[/url] on 06-08-2009 18:43)[/small] Loading...
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