An Engineer, a Physicist ,or a Biologist or a Mathematician , everyone can solve a problem for the time, but A Mathematician never satisfies with just an answer/solution to the problem , he checks each and every line for different possibilities like,
1. Is it the only way to solve ?
2.Can it be done much more simpler?
3. Does the solution stays like that with time?
4. What will happen to the solution if some elements/arguments are taken apart?
5. Is it really a solution or just looks like? if so , how many?
6. What are strengths and weaknesses in a problems solution ?
7. Can the solution process be generalized for abstract problems or nearly equal problems?
8. If the solution is an approximate then how far away it is from the actual?
9. How to classify all the problems that are near OR equivalent to the current Problem?
10.How to formalize a theory for it so that others can see it easily?
and the last of all, A Mathematician is so economical that he requires only a pen and a paper.
"Biologists think they are biochemists,
1. Is it the only way to solve ?
2.Can it be done much more simpler?
3. Does the solution stays like that with time?
4. What will happen to the solution if some elements/arguments are taken apart?
5. Is it really a solution or just looks like? if so , how many?
6. What are strengths and weaknesses in a problems solution ?
7. Can the solution process be generalized for abstract problems or nearly equal problems?
8. If the solution is an approximate then how far away it is from the actual?
9. How to classify all the problems that are near OR equivalent to the current Problem?
10.How to formalize a theory for it so that others can see it easily?
and the last of all, A Mathematician is so economical that he requires only a pen and a paper.
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