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Is mathematics based on assumptions?
In a way, yes. Certain "postulates" or "axioms" are assumed to be true; all other statements are derived from those. The "postulates" are chosen so that they are reasonable and simple assumptions.If you try to prove the postulates, you have to derive them from some other statements, so sooner or later, you will always have unproved statements. That can't be avoided.In a way, yes. Certain "postulates" or "axioms" are assumed to be true; all other statements are derived from those. The "postulates" are chosen so that they are reasonable and simple assumptions.If you try to prove the postulates, you have to derive them from some other statements, so sooner or later, you will always have unproved statements. That can't be avoided.In a way, yes. Certain "postulates" or "axioms" are assumed to be true; all other statements are derived from those. The "postulates" are chosen so that they are reasonable and simple assumptions.If you try to prove the postulates, you have to derive them from some other statements, so sooner or later, you will always have unproved statements. That can't be avoided.In a way, yes. Certain "postulates" or "axioms" are assumed to be true; all other statements are derived from those. The "postulates" are chosen so that they are reasonable and simple assumptions.If you try to prove the postulates, you have to derive them from some other statements, so sooner or later, you will always have unproved statements. That can't be avoided.
True or false Postulates are accepted as true without proof.?
True
Do axioms and postulates require proof?
No. Axioms and postulates are statements that we accept as true without proof.
Are postulates excepted as true without proof?
Yes, postulates are accepted without proof and do not have counterexamples.
What are the postulates and theorems?
Postulates are statements that are assumed to be true without proof. Theorums are statements that can be deduced and proved from definitions, postulates, and previously proved theorums.
