RE: Science and Randomness
January 6, 2013 at 7:00 pm
(This post was last modified: January 6, 2013 at 7:02 pm by The Grand Nudger.)
Now I have to do your googling for you as well....
In both senses, an axiom is any mathematical statement that serves as a starting point from which other statements are logically derived. Axioms (unless redundant) cannot be derived by principles of deduction, nor are they demonstrable by mathematical proofs, simply because they are starting points; there is nothing else from which they logically follow otherwise they would be classified as theorems.
http://en.wikipedia.org/wiki/Axiom
http://en.wikipedia.org/wiki/Peano_axioms
Perhaps these links will help you to understand why 1+1=2 is not an axiom (since my summarizing it in a few sentences posts ago did not).
In both senses, an axiom is any mathematical statement that serves as a starting point from which other statements are logically derived. Axioms (unless redundant) cannot be derived by principles of deduction, nor are they demonstrable by mathematical proofs, simply because they are starting points; there is nothing else from which they logically follow otherwise they would be classified as theorems.
http://en.wikipedia.org/wiki/Axiom
http://en.wikipedia.org/wiki/Peano_axioms
Perhaps these links will help you to understand why 1+1=2 is not an axiom (since my summarizing it in a few sentences posts ago did not).
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