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Why Are There Particular Axioms

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Posted by Richard Ruquist on March 8, 2002 14:31:32 UTC

Math is logic plus axioms. So I think the first step is to ask why a particular set of axioms are true. If we were to change an axiom or two, and use the same logic (must be more than one kind of logic possible) we would get a different set of solutions- a different math. And presumably the emergent solutions would differ as well.

The scientific answer to such questions is usually Occum's Razor- that nature has chosen the simplest, most obvious set of axioms and logic.

But the aim of religion and perhaps metaphysics, is to provide more holistic answers to such questions- to use a pun.

So there we get into the realm of belief as experiments will never be able to answer such questions. Scientifically it is therefore not kosher to ask such questions. But some people cannot be happy unless they have (unverfied) answers. That is one reason for religion.

Hope to see more posts from you. You are a most valuable contributor to this forum.

Regards,

Richard

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