Mathematics

Give an example for the following axioms from your experience:
(b) the whole is greater than the part.


SOLUTION
(a) It is logically true, as addition of equals will become equals. Hence it is an Axiom
For example: $$2+3=4+1$$ and $$1+5=4+2$$
Then addition of these two equality will give
$$2+3+1+5=4+1+4+2\Rightarrow 11=11$$
(b) This is illogical or not true, the whole may or may not be greater than its part always.
For example: $$x+a>x$$ is not always true
When $$a$$ is zero or less than zero, then this won't be true.
Hence it is a postulate.
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