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Video: The Basics of Evolution

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Salamantis4/04/2009 7:05:04 pm PDT

Most mathematicians would beg to disagree with you; Godel’s Incompleteness Theorem has been widely lauded as the most important theorem in mathematics. It has been considered to be such becauise it places an uppoer limit on the complexity of axiomatic systems claiming to be both correct and complete. Once an axiomatic system, be it logical or mathematical, breaches the Godelian threshhold and become complex enough to permit self-referential statements, it cannot, in rigorously proven principle, be both correct and complete.

And yes, I was a mathematics major before I switched to philosophy. After taking a logic course, abstract mathematics seemed to sterile to me, and I switched to a discipline that I perceived could be more readily pplied to real-world situations. I was wrong in that perception, but never regretted my decision to change majors, for I found philosophy to be a rich vein from which I could mine profound understandings.