## Thabo 3 years ago What is a number

1. pratu043

A number is a number.

2. cesar2462

#

3. fallingangel

A numeral or group of numerals. The sum, total, count, or aggregate of a collection of units.

4. dogs_best1997

123467890 is the numbers

5. pratu043

It is something that is used for counting ...

6. glgan1

A number is a symbol.

7. dogs_best1997

A number is a concept from mathematics, used to count or measure.

its the alphabet of a language . +1 @glgan1

9. estudier

Depending on who you believe, it's a set (and so is everything else)

10. Thabo

Guys, a simple but mathematical explanation

11. dogs_best1997

Natural numbers are the numbers which we normally use for counting, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10

12. fallingangel

What I said. A numeral or group of numerals. The sum, total, count, or aggregate of a collection of units.

13. estudier

Is sqrt 2 a number?

14. shubhamsrg

google over or go for wikipedia for orthodox results..

15. Thabo

Ok. a number is a measure of quantity

16. estudier

"Ok. a number is a measure of quantity" So 2 is a measure of 2?

17. Thabo

Yes, a "simple" as that

18. estudier

That isn't simple, it is circular and doesn't mean anything...

19. Thabo

How is my definition wrong

20. estudier

It is the same as saying 2=2 which is not wrong, just devoid of meaning.

21. estudier

That's an improvement....what is "arithmetical"?

22. estudier

Now you have gone all circular as well...:-)

23. Thabo

24. estudier

I already said, if you don't want to take the "naturals" as given, then you canuse a set theoretical construction of number, starting withy the empty set.

25. Thabo

I don't understand you

26. estudier

Assuming you want a "mathematical" definition of number, then you need to find a way to use set theory to do it because that is the currently accepted foundation for mathematics.

27. Thabo

I just wanted to know what is a number according to you guys that all

28. estudier

Mathematically, it is a set.

29. estudier

"properties of the natural and real numbers can be derived within set theory, as each number system can be identified with a set of equivalence classes under a suitable equivalence relation whose field is some infinite set" http://en.wikipedia.org/wiki/Set_theory#Axiomatic_set_theory

30. Thabo

oh, that a pretty interesting definition. Thanks

31. estudier

Normally, for day to day mathematics, you don't really need this. Another way is just to take the naturals (beginning with 0 or 1 according to taste) as being somehow "God given" and then get everything else from those.

32. Thabo

Ok. thanks everyone!

33. SmoothMath

This is really almost an epistemology question more than a mathematical one. Mathematics solves problems based on the foreknowledge of numbers and counting. At least for the common man, knowledge of numbers is axiomatic, it is understood knowledge that other knowledge can be derived from.

34. hreeg97

an arithmetical value, expressed by a word, symbol, or figure, representing a particular quantity and used in counting and making calculations and for showing order in a series or for identification

35. UnkleRhaukus

A number is a measurement without units

36. Thabo

Oh, not what do you mean?

37. UnkleRhaukus

Numbers come from measurements, i.e. from the comparison of a selection of reality with a scale or rule, where the selection is best represented on the scale, is designated a number, to distinguish it from another place on the scale

38. Thabo

Yes, I like that word "comparison"

39. UnkleRhaukus

i really like this question

40. UnkleRhaukus

would numbers mean anything at all if well didn't use the same scales?

41. JoJo-Phoenix

A number shows the amount of something and was created to show how much something was.

42. JoJo-Phoenix

For instance, many thousand years ago people had animals, and then they suddenly wanted to count them, so they created the first numbers, just some line that show the amount

43. Thabo

There would be trouble in this world without "comparison"

44. SmoothMath

The truth is, numbers, just like words, are defined arbitrarily, but are useful for human communication of ideas that are inherent in reality.

45. UnkleRhaukus

truth is a binary measurement , requiring a measurer , such as a person

46. UnkleRhaukus

0=False 1=True, are these arbitrary, @SmoothMath

47. SmoothMath

Yes.

48. UnkleRhaukus

i think so too