> A number is a mathematical object used to count, measure, and label.
>Counting is the process of determining the number of elements of a finite set of objects.
>Measurement is the numerical quantification of the attributes of an object or event, which can be used to compare with other objects or events.
>Nominal numbers are categorical, which means that these are numerals used as labels to identify items uniquely.
All three of the main ways that Wikipedia describes numbers invoke the word number in their own definition. Is this like how linguists have difficulty escaping the self-referentiality of pure language, where a real language must rooted in something intuitive or experienced?

Also, without making Wikipedia’s error: What is a number?