Q2 of 45 Page 48

What is the difference between an axiom and a postulate?

difference between an axiom and a postulate:

(1) Axiom is generally true for any field of science, while postulates can be specific on a particular field.


(2) It is impossible to prove from other axioms, while postulates are provable to axioms.


More from this chapter

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1

What are undefined objects in Euclid’s geometry?

 3

Give an example for the following axioms from your experience:

(a) If equals are added to equals, the wholes are equals.


(b) The whole is greater than the part.

 4

What is the need of introducing axioms?

 5

You have seen earlier that the set of all natural numbers is closed under addition (closure property). Is this an axiom or something you can prove?