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Math, Music, and Philosophy

Name: Anonymous 2008-08-05 12:13

Is anyone else freaked/amazed at how closely related the three are?

Name: Anonymous 2008-09-06 12:38

>>34

You're an idiot. Godel's incompleteness theorem means that no system can be consistent and complete.

But that doesn't mean a system can't be consistent and prove certain statements true.

Even then, it doesn't matter if my particular construction of the integers is consistent or complete as to whether 1 + 1 = 2.

The statement 1 + 1 = 2 doesn't mean anything except within a system where 1, +, = and 2 have been defined. Whether or not that system is complete or consistent doesn't (In the system of integers we're familiar with) affect either way whether or not the statement 1 + 1 = 2 is a true statement, within that axiomatic system.

Do you even understand Godel's incompleteness theorem yourself, you seem to be throwing it around like some sort of philosophical buzzword.

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