Q4 of 45 Page 48

What is the need of introducing axioms?

There are certain elementary statement, which are self evident and which are accepted without any question in such statments we need axioms. Also axioms are needed because these statements are also applicable to other areas of mathematics and science.


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2

What is the difference between an axiom and a postulate?

 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.

 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?

 1

Draw diagrams illustrating each of the following situation:

Three straight lines which do not pass through a fixed point.