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    Whose theory stated that any moderately complex system of axioms inevitably raises questions that cannot be answered by those axioms?

    Question #785. Asked by Courtney. (Apr 06 00 11:38 PM)


    eriq64

    		eriq64 says:

    'In 1931, the Czech-born mathematician Kurt Frodel demonstrated that within any given branch of mathematics, there would always be some propositions that couldn't be proven either true or false using the rules and axioms ... of that mathematical branch itself.' - Jones and Wilson, An Incomplete Education. This theorem is known as Frodel's Incompleteness Theorem.

    Fri Apr 07 10:13:28 CDT 2000 (Delete Entry)
    (Reposted to correct characters - McG)

    Apr 07 02, 6:07 AM
    McGruff

    		Kurt Godel's incompleteness theorem established that any moderately complex system of axioms gives rise to questions that cannot be answered with those axioms. By adding to their base of axioms, mathematicians can keep expanding the realm within which they play, posing new conjectures and constructing new proofs, forever. http://www.computer.org/computer/homepage/0104/Horgan/

    Feb 09 04, 1:18 PM

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