True. Axioms and postulates do not require proof to be used.
Such statements are called postulates in geometry and axioms in other areas. Definitions are also accepted without proof, but technically they are abbreviations rather than statements.
Theorem
Postulates are assumed to be true and we need not prove them. They provide the starting point for the proof of a theorem. A theorem is a proposition that can be deduced from postulates. We make a series of logical arguments using these postulates to prove a theorem. For example, visualize two angles, two parallel lines and a single slanted line through the parallel lines. Angle one, on the top, above the first parallel line is an obtuse angle. Angle two below the second parallel line is acute. These two angles are called Exterior angles. They are proved and is therefore a theorem.
what are the postulates of the theroy
True. Axioms and postulates do not require proof to be used.
Yes, postulates are "given", as the bases for the construction of the system.
It is true that postulates are statements that are accepted without questions or justifications.
true
True
No. Axioms and postulates are statements that we accept as true without proof.
Yes, postulates are accepted without proof and do not have counterexamples.
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.
postulates
postulates
True
Joseph J. Thomson's postulates included the idea that electrons are negatively charged particles, they have a much smaller mass compared to atoms, and they are uniformly distributed within the atom. These postulates were part of Thomson's plum pudding model of the atom.