Mathematics
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OpenStudy (unklerhaukus):
is one a number
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Parth (parthkohli):
No.
Parth (parthkohli):
one is a numeral. :P
Parth (parthkohli):
No... one is an integer
hartnn (hartnn):
i believed that from my childhood, that one is a number
OpenStudy (unklerhaukus):
im looking for a convincing argument
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OpenStudy (amriju):
how do u define a number?
Parth (parthkohli):
This is the first thing ever you learnt in mathematics: 1
OpenStudy (anonymous):
Number is a mathematical thing which is used to count ....
Parth (parthkohli):
1 is a quantity.
A quantity is a number.
Q.E.D
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OpenStudy (anonymous):
lol May I know @UnkleRhaukus is this exactly what you are asking for?
OpenStudy (amriju):
then by definition...1 is a number...what made u strike the question though...?
Parth (parthkohli):
Axiom: number + number = another number
Axiom 2: 4 is a number
Axiom 3: 5 is a number
Combining the axioms, 1 + 4 = 5
Q.E.D.
Parth (parthkohli):
How many demonstrations do you need?
OpenStudy (anonymous):
lol \[\Huge{1}\]
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Parth (parthkohli):
Accept it: 1 is a number because it is in the NumPad. :D
OpenStudy (anonymous):
^ This is the perfect use of number :
Quest. "How many demonstrations u need?"
Answer : "1"
Parth (parthkohli):
More uses:
1 apple a day keeps 1 doctor away.
OpenStudy (amriju):
u deserve a medal..bt i am new to this site...dnt kno how to give 1
OpenStudy (anonymous):
@amriju click on "best response"
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Parth (parthkohli):
He already has given me a medal. :P
OpenStudy (amriju):
k...i've already done that..
OpenStudy (amriju):
:P
Parth (parthkohli):
Well, I got to go.
I'd see this stupid discussion after like 45 minutes when I return.
Bwahaha!
OpenStudy (anonymous):
bye.
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OpenStudy (unklerhaukus):
say, there are a number of objects on the table ,
could there be zero objects on the table?
could there be one object on the table?
OpenStudy (hba):
Well It Depends Unkle Rhaukus if you talk about objects on the table :)
OpenStudy (hba):
In Nature,You Can not say There Are Zero Objects But On A Table There Can Be No Objects :)
ganeshie8 (ganeshie8):
one is a digit when we use it in a number system
one is a number when we use it to count things
OpenStudy (maheshmeghwal9):
o.O
o.O
o.O
o.O
o.O
o.O
o.O
o.O
o.O
o.O
o.O
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OpenStudy (anonymous):
{{empty set}}
OpenStudy (hba):
Well ^^ You Are wrong,thats not an empty set,it has one object :)
OpenStudy (anonymous):
Correct
OpenStudy (hba):
{ } < Empty set
OpenStudy (anonymous):
So is it 1?
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OpenStudy (hba):
Well Its Not The Number 1 but it is 1 object :)
OpenStudy (anonymous):
That is (a) set theory definition of 1.
OpenStudy (anonymous):
Why is it worse than "1"
OpenStudy (hba):
Well I Agree With You On That Note
OpenStudy (anonymous):
Why do we need a set theory definition of 1 at all?
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OpenStudy (hba):
Well Thats Not Exactly What Is Being Asked Here :)
OpenStudy (anonymous):
To answer what is being asked, you have to define "number"
OpenStudy (hba):
But It Is Not Necessary We Talk About It With Respect To Sets :)
OpenStudy (anonymous):
Define it however u like, I gave one (mathematical) definition.
Do you have another definition?
OpenStudy (unklerhaukus):
one is an egg
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OpenStudy (anonymous):
"I" (as in individual)
OpenStudy (hba):
^ dis agree ,One is One
OpenStudy (anonymous):
So your proof goes, One is One, so One is a number..?
OpenStudy (hba):
Exactly :)
OpenStudy (anonymous):
1 is a symbol representing a number.....(maybe)
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OpenStudy (hba):
Maybe^^
ganeshie8 (ganeshie8):
1 is a symbol representing repetititiveness
OpenStudy (anonymous):
lol
OpenStudy (maheshmeghwal9):
1 is a first natural number.
OpenStudy (anonymous):
No number is less than 1...?
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OpenStudy (anonymous):
No natural number is less than 1...
OpenStudy (hba):
Because 0 things cannot exist in nature :D @maheshmeghwal9
OpenStudy (anonymous):
Ah, the physicists viewpoing...:-)
OpenStudy (anonymous):
viewpoint*
OpenStudy (maheshmeghwal9):
but @estudier that no number is less than 1 but 0 is a whole number.
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OpenStudy (anonymous):
What's a whole number?
OpenStudy (maheshmeghwal9):
said*
OpenStudy (hba):
With Respect to sets W= {0,1,2,3.....}
OpenStudy (maheshmeghwal9):
{0,1......\(\infty\)}
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OpenStudy (anonymous):
A set containing infinity as a member.....
OpenStudy (maheshmeghwal9):
@estudier
OpenStudy (maheshmeghwal9):
a set starting from 0 to infinity
OpenStudy (anonymous):
Do u mean an infinite set?
OpenStudy (maheshmeghwal9):
yes !
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OpenStudy (anonymous):
OK, which one?
OpenStudy (maheshmeghwal9):
which is starting from 0.
OpenStudy (hba):
@estudier Stop Playing and get to the point :)
OpenStudy (anonymous):
Natural numbers including 0
OpenStudy (anonymous):
Seems we are talking about sets after all....
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OpenStudy (maheshmeghwal9):
hmm ...
u r confusing me @estudier
OpenStudy (hba):
Well Natural number does not include 0
OpenStudy (anonymous):
They do or don't u have to say which.....
OpenStudy (anonymous):
Or u can say "positve" or "non-negative" integers....
OpenStudy (hba):
We Can Say Non-Zero Also :)
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OpenStudy (anonymous):
As you like, it just has to be clear...
OpenStudy (anonymous):
So, according to set theory, 1 is not a number.
It is a representation of the set containing the empty set.
OpenStudy (hba):
Would You Like To Provide Example :)
OpenStudy (anonymous):
And we can define all the other "numbers" by (transfinite) induction
OpenStudy (hba):
@estudier Can You Define A Set ?
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OpenStudy (anonymous):
Like point and plane...
OpenStudy (anonymous):
Something has to be primitive else you are going in a circle.....
OpenStudy (hba):
Well You Have To Go In A Circle Before You Come To A Certain Point :)
OpenStudy (anonymous):
Good place to finish:-)