What is a number

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What is a number

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

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123467890 is the numbers
It is something that is used for counting ...
A number is a symbol.
A number is a concept from mathematics, used to count or measure.
its the alphabet of a language . +1 @glgan1
Depending on who you believe, it's a set (and so is everything else)
Guys, a simple but mathematical explanation
Natural numbers are the numbers which we normally use for counting, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10
What I said. A numeral or group of numerals. The sum, total, count, or aggregate of a collection of units.
Is sqrt 2 a number?
google over or go for wikipedia for orthodox results..
Ok. a number is a measure of quantity
"Ok. a number is a measure of quantity" So 2 is a measure of 2?
Yes, a "simple" as that
That isn't simple, it is circular and doesn't mean anything...
How is my definition wrong
It is the same as saying 2=2 which is not wrong, just devoid of meaning.
That's an improvement....what is "arithmetical"?
Now you have gone all circular as well...:-)
Give us your definition then
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.
I don't understand you
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.
I just wanted to know what is a number according to you guys that all
Mathematically, it is a set.
"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
oh, that a pretty interesting definition. Thanks
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.
Ok. thanks everyone!
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.
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
A number is a measurement without units
Oh, not what do you mean?
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
Yes, I like that word "comparison"
i really like this question
would numbers mean anything at all if well didn't use the same scales?
A number shows the amount of something and was created to show how much something was.
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
There would be trouble in this world without "comparison"
The truth is, numbers, just like words, are defined arbitrarily, but are useful for human communication of ideas that are inherent in reality.
truth is a binary measurement , requiring a measurer , such as a person
0=False 1=True, are these arbitrary, @SmoothMath
Yes.
i think so too

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