What is a number

- anonymous

What is a number

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- anonymous

A number is a number.

- anonymous

#

- anonymous

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

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## More answers

- anonymous

123467890 is the numbers

- anonymous

It is something that is used for counting ...

- anonymous

A number is a symbol.

- anonymous

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

- anonymous

its the alphabet of a language .
+1 @glgan1

- anonymous

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

- anonymous

Guys, a simple but mathematical explanation

- anonymous

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

- anonymous

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

- anonymous

Is sqrt 2 a number?

- shubhamsrg

google over or go for wikipedia for orthodox results..

- anonymous

Ok. a number is a measure of quantity

- anonymous

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

- anonymous

Yes, a "simple" as that

- anonymous

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

- anonymous

How is my definition wrong

- anonymous

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

- anonymous

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

- anonymous

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

- anonymous

Give us your definition then

- anonymous

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.

- anonymous

I don't understand you

- anonymous

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.

- anonymous

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

- anonymous

Mathematically, it is a set.

- anonymous

"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

- anonymous

oh, that a pretty interesting definition. Thanks

- anonymous

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.

- anonymous

Ok. thanks everyone!

- anonymous

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.

- anonymous

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

- UnkleRhaukus

A number is a measurement without units

- anonymous

Oh, not what do you mean?

- 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

- anonymous

Yes, I like that word "comparison"

- UnkleRhaukus

i really like this question

- UnkleRhaukus

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

- anonymous

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

- anonymous

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

- anonymous

There would be trouble in this world without "comparison"

- anonymous

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

- UnkleRhaukus

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

- UnkleRhaukus

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

- anonymous

Yes.

- UnkleRhaukus

i think so too

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