Yes, postulates are "given", as the bases for the construction of the system.
postulates
accepted as true without proof
Axioms, or postulates, are accepted as true or given, and need not be proved.
Definitions, postulates, and undefined terms
It is true that postulates are statements that are accepted without questions or justifications.
Yes, postulates are accepted without proof and do not have counterexamples.
postulates
True. Axioms and postulates do not require proof to be used.
accepted as true without proof
True
axioms or postulates
Axioms, or postulates, are accepted as true or given, and need not be proved.
Definitions, postulates, and undefined terms
It is true that postulates are statements that are accepted without questions or justifications.
Postulates are accepted as true without proof, and theorems have been proved true. Kudos on the correct spelling/punctuation/grammar, by the way.
No. Axioms and postulates are statements that we accept as true without proof.
No, that statement is not true. Postulates, also known as axioms, are fundamental statements or assumptions in mathematics and logic that are accepted as true without proof. They serve as the starting points for further reasoning and theorems. In contrast, theorems are statements that require proof based on postulates and previously established results.