What are the differences between axiom vs postulate and axiom vs theorem?
Answers
Based on logic, an axiom or postulate is a statement that is considered to be self-evident. Both axioms and postulates are assumed to be true without any proof or demonstration. Basically, something that is obvious or declared to be true and accepted but have no proof for that, is called an axiom or a postulate.
DIFFERENCE BETWEEN AXIOM & POSTULATE :
Based on logic, an axiom or postulate is a statement that is considered to be self-evident. Both axioms and postulates are assumed to be true without any proof or demonstration. ... Axioms and postulate serve as a basis for deducing other truths. The ancient Greeks recognized the difference between these two concepts.
DIFFERENCE BETWEEN AXIOM & THEOREM :
Basically, anything declared to be true and accepted, but does not have any proof or has some practical way of proving it, is an axiom. It is also sometimes referred to as a postulate, or an assumption. A theorem, by definition, is a statement proven based on axioms, other theorems, and some set of logical connectives
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