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Re:How is a system of axioms different from a system of beli... by mk270 on Sunday October 27, 2013 @06:31AM (#6621498)
A couple of important distinctions between axioms and beliefs:

1) axioms are assumed to be logically consistent with each other, at least when the word "axiom" is understood strictly; it's possible that someone may believe two things that are inconsistent with each other

2) belief is an involuntary mental acceptance that a particular claim is true. You can't make yourself believe something that you know to be false

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