Indian forum: Education - Mathematics Problem & Solution
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19 Feb 2014 14:44

Quote by Creator
"Rules:
1) If you have any problem or question regarding Maths then post it in boldface letters;
2) Answer'll given in normal fronts & either you quote the problem or mention the Challange no;
3) Any miss~behaved comment will be reported to moderator immediately."

While giving answers please mention the challange no.
Challange #1:
What do you mean by a Natural Number?

Edited by Anirban1728 / 22 Feb 2014 20:10
21 Feb 2014 10:07
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21 Feb 2014 21:38

Not excluding integes, decimals.
Natural numbers are also integer & decimal...
So how to define it?
Is it possible actully??

Edited by Anirban1728 / 21 Feb 2014 21:52
22 Feb 2014 03:06
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22 Feb 2014 03:21
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22 Feb 2014 03:45
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22 Feb 2014 05:34

No, decimals are not natural numbers, but natural numbers are decimals. Natural numbers is a proper subset of decimal numbers.
Again, the numbers with which we count are not only natural numbers. We can count with the help of rational numbers also. Actually there is no definition of natural numbers. If you have to define something, you define it with the concepts that came before it. But there was nothing before natural numbers. So, you can't define it. So, we don't try to define it, rather we constructe a set of numbers, which follows "Peano's Axiom" (observe, it is axiom, not theorem, if natural numbers can be defined, it should be a theorem), and call this set of numbers natural numbers.

Edited by Anirban1728 / 22 Feb 2014 05:51
22 Feb 2014 05:44

Natural numbers are also a subset of fractions....
And, also, according to the definition provided by you, 'e' is also a ntural number.

Edited by Anirban1728 / 22 Feb 2014 06:30
22 Feb 2014 05:49

You should not use the word decimal here....
Its not about numbers, its about 'how to represet numbers'... they dont denote any special type of numbers. Decimals are special system of representing numbers....

22 Feb 2014 08:30

Thanks all for your valuable answers!

Edited by Anirban1728 / 22 Feb 2014 20:17
22 Feb 2014 08:32

While giving answers please mention the challange number.
Challange #2:
How to represent a 'Null set' or, 'Empty set' in Roster method?

Edited by Anirban1728 / 22 Feb 2014 19:02
22 Feb 2014 09:04
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22 Feb 2014 09:05
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22 Feb 2014 09:07
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22 Feb 2014 09:27

How to express that null set in Roster?
@Palm-Reader

22 Feb 2014 09:32


But we, math~lovers'll still look for 'where the god came from'...
:p

Edited by Anirban1728 / 22 Feb 2014 09:39
22 Feb 2014 09:43
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22 Feb 2014 09:44
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22 Feb 2014 09:58

Ya its nice... But we prefer to write it as:
{x: x is not eqal to x}

22 Feb 2014 12:35

Zero