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Posted by Herb S. on August 25, 2001 03:04:32 UTC

axiom: a statement which is self evidently true and is assumed in context. For example, in arithmetic, if(a=b) and if (a=c), then (b=c).

theorem: something that is proven by logical deduction from axioms (or postulates, which are esssentially the same as axioms) or other theorems, which have already been proven.

The above are essentially mathematical concepts.

Theory and law are usually considered scientific ideas.

Theory: A proposed explanation of some phenomena or group of phenomena.

Law: A theory which has withstood the test of time, that is has been subject to many crucial tests and has held up.

It is important to know that scientific laws are constantly being expanded and modifed as more evidence is presented, that is more experimental results appear.

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