## UnkleRhaukus 4 years ago is one a number

1. ParthKohli

No.

2. ParthKohli

one is a numeral. :P

3. ParthKohli

No... one is an integer

4. hartnn

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

5. UnkleRhaukus

im looking for a convincing argument

6. amriju

how do u define a number?

7. anonymous

I believe also that 1 is a number , http://en.wikipedia.org/wiki/1_(number) (I prefer wikipedia to answer this) ;)

8. ParthKohli

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

9. anonymous

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

10. ParthKohli

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

11. anonymous

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

12. amriju

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

13. 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.

14. ParthKohli

How many demonstrations do you need?

15. anonymous

lol $\Huge{1}$

16. ParthKohli

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

17. anonymous

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

18. ParthKohli

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

19. amriju

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

20. anonymous

@amriju click on "best response"

21. ParthKohli

He already has given me a medal. :P

22. amriju

23. amriju

:P

24. ParthKohli

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

25. anonymous

bye.

26. 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?

27. hba

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

28. hba

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

29. ganeshie8

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

30. maheshmeghwal9

o.O o.O o.O o.O o.O o.O o.O o.O o.O o.O o.O

31. anonymous

{{empty set}}

32. hba

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

33. anonymous

Correct

34. hba

{ } < Empty set

35. anonymous

So is it 1?

36. hba

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

37. anonymous

That is (a) set theory definition of 1.

38. anonymous

Why is it worse than "1"

39. hba

Well I Agree With You On That Note

40. anonymous

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

41. hba

Well Thats Not Exactly What Is Being Asked Here :)

42. anonymous

43. hba

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

44. anonymous

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

45. UnkleRhaukus

one is an egg

46. anonymous

"I" (as in individual)

47. hba

^ dis agree ,One is One

48. anonymous

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

49. hba

Exactly :)

50. anonymous

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

51. hba

Maybe^^

52. ganeshie8

1 is a symbol representing repetititiveness

53. anonymous

lol

54. maheshmeghwal9

1 is a first natural number.

55. anonymous

No number is less than 1...?

56. anonymous

No natural number is less than 1...

57. hba

Because 0 things cannot exist in nature :D @maheshmeghwal9

58. anonymous

Ah, the physicists viewpoing...:-)

59. anonymous

viewpoint*

60. maheshmeghwal9

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

61. anonymous

What's a whole number?

62. maheshmeghwal9

said*

63. hba

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

64. anonymous

http://en.wikipedia.org/wiki/Whole_number Pick one...

65. maheshmeghwal9

{0,1......$$\infty$$}

66. anonymous

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

67. maheshmeghwal9

@estudier

68. maheshmeghwal9

a set starting from 0 to infinity

69. anonymous

Do u mean an infinite set?

70. maheshmeghwal9

yes !

71. anonymous

OK, which one?

72. maheshmeghwal9

which is starting from 0.

73. hba

@estudier Stop Playing and get to the point :)

74. anonymous

Natural numbers including 0

75. anonymous

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

76. maheshmeghwal9

hmm ... u r confusing me @estudier

77. hba

Well Natural number does not include 0

78. anonymous

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

79. anonymous

Or u can say "positve" or "non-negative" integers....

80. hba

We Can Say Non-Zero Also :)

81. anonymous

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

82. anonymous

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

83. hba

Would You Like To Provide Example :)

84. anonymous

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

85. hba

@estudier Can You Define A Set ?

86. anonymous

Like point and plane...

87. anonymous

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

88. hba

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

89. anonymous

Good place to finish:-)