UnkleRhaukus
is one a number



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ParthKohli
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No.

ParthKohli
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one is a numeral. :P

ParthKohli
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No... one is an integer

hartnn
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i believed that from my childhood, that one is a number

UnkleRhaukus
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im looking for a convincing argument

amriju
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how do u define a number?


ParthKohli
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This is the first thing ever you learnt in mathematics: 1

SheldonEinstein
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Number is a mathematical thing which is used to count ....

ParthKohli
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1 is a quantity.
A quantity is a number.
Q.E.D

SheldonEinstein
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lol May I know @UnkleRhaukus is this exactly what you are asking for?

amriju
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then by definition...1 is a number...what made u strike the question though...?

ParthKohli
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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.

ParthKohli
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How many demonstrations do you need?

SheldonEinstein
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lol \[\Huge{1}\]

ParthKohli
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Accept it: 1 is a number because it is in the NumPad. :D

SheldonEinstein
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^ This is the perfect use of number :
Quest. "How many demonstrations u need?"
Answer : "1"

ParthKohli
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More uses:
1 apple a day keeps 1 doctor away.

amriju
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u deserve a medal..bt i am new to this site...dnt kno how to give 1

SheldonEinstein
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@amriju click on "best response"

ParthKohli
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He already has given me a medal. :P

amriju
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k...i've already done that..

amriju
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:P

ParthKohli
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Well, I got to go.
I'd see this stupid discussion after like 45 minutes when I return.
Bwahaha!

SheldonEinstein
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bye.

UnkleRhaukus
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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?

hba
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Well It Depends Unkle Rhaukus if you talk about objects on the table :)

hba
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In Nature,You Can not say There Are Zero Objects But On A Table There Can Be No Objects :)

ganeshie8
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one is a digit when we use it in a number system
one is a number when we use it to count things

maheshmeghwal9
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o.O
o.O
o.O
o.O
o.O
o.O
o.O
o.O
o.O
o.O
o.O

estudier
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{{empty set}}

hba
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Well ^^ You Are wrong,thats not an empty set,it has one object :)

estudier
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Correct

hba
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{ } < Empty set

estudier
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So is it 1?

hba
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Well Its Not The Number 1 but it is 1 object :)

estudier
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That is (a) set theory definition of 1.

estudier
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Why is it worse than "1"

hba
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Well I Agree With You On That Note

estudier
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Why do we need a set theory definition of 1 at all?

hba
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Well Thats Not Exactly What Is Being Asked Here :)

estudier
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To answer what is being asked, you have to define "number"

hba
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But It Is Not Necessary We Talk About It With Respect To Sets :)

estudier
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Define it however u like, I gave one (mathematical) definition.
Do you have another definition?

UnkleRhaukus
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one is an egg

estudier
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"I" (as in individual)

hba
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^ dis agree ,One is One

estudier
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So your proof goes, One is One, so One is a number..?

hba
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Exactly :)

estudier
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1 is a symbol representing a number.....(maybe)

hba
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Maybe^^

ganeshie8
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1 is a symbol representing repetititiveness

estudier
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lol

maheshmeghwal9
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1 is a first natural number.

estudier
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No number is less than 1...?

estudier
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No natural number is less than 1...

hba
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Because 0 things cannot exist in nature :D @maheshmeghwal9

estudier
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Ah, the physicists viewpoing...:)

estudier
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viewpoint*

maheshmeghwal9
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but @estudier that no number is less than 1 but 0 is a whole number.

estudier
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What's a whole number?

maheshmeghwal9
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said*

hba
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With Respect to sets W= {0,1,2,3.....}


maheshmeghwal9
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{0,1......\(\infty\)}

estudier
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A set containing infinity as a member.....

maheshmeghwal9
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@estudier

maheshmeghwal9
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a set starting from 0 to infinity

estudier
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Do u mean an infinite set?

maheshmeghwal9
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yes !

estudier
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OK, which one?

maheshmeghwal9
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which is starting from 0.

hba
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@estudier Stop Playing and get to the point :)

estudier
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Natural numbers including 0

estudier
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Seems we are talking about sets after all....

maheshmeghwal9
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hmm ...
u r confusing me @estudier

hba
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Well Natural number does not include 0

estudier
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They do or don't u have to say which.....

estudier
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Or u can say "positve" or "nonnegative" integers....

hba
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We Can Say NonZero Also :)

estudier
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As you like, it just has to be clear...

estudier
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So, according to set theory, 1 is not a number.
It is a representation of the set containing the empty set.

hba
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Would You Like To Provide Example :)

estudier
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And we can define all the other "numbers" by (transfinite) induction

hba
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@estudier Can You Define A Set ?

estudier
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Like point and plane...

estudier
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Something has to be primitive else you are going in a circle.....

hba
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Well You Have To Go In A Circle Before You Come To A Certain Point :)

estudier
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Good place to finish:)