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Earn +20 ptsQ: What is a statement that we accept as true without proof?
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Is this statement true or falseAn axiom is a statement accepted without proof.?
true
What kind of statement is accepted as true without proof?
An axiom.
Do axioms and postulates require proof?
No. Axioms and postulates are statements that we accept as true without proof.
What is a mathematic statement that is accepted as true without proof?
It is called an axiom.
Is every statement a theorem why?
There are many kinds of statement that are not theorems: A statement can be an axiom, that is, something that is assumed to be true without proof. It is usually self-evident, but like Euclid's parallel postulate, need not be. A statement need not be true in all circumstances - for example, A*B = B*A (commutativity) is not necessarily true for matrix multiplication. A statement can be false. A statement can be self-contradictory for example, "This statement is false".
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