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An axiom system is a set of axioms or axiom schemata from which theorems can be derived.

Q: What is an axiom system?

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An axiom system is a set of axioms or axiom schemata from which theorems can be derived.

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It's an axiom.

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No, it is the empty set. Then the set containing only the number 0 (Peano's first axiom).

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An Axiom is a mathematical statement that is assumed to be true. There are five basic axioms of algebra. The axioms are the reflexive axiom, symmetric axiom, transitive axiom, additive axiom and multiplicative axiom.

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No, it is a meaningless sentence, not an axiom.

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