Considering JSON (JavaScript Object Notation), is JSON itself a language, or is it only defined in context of another language? By language, I mean a programming language that might be using JSON to transmit/receive data.
It is interesting that XML is not Turing complete, yet has language in its name. Perhaps this implies a broader definition of language for this purpose?
It's a data interchange format.
JSON (JavaScript Object Notation) is a lightweight data-interchange format.
http://json.org
JavaScript Object Notation is a text-based open standard designed for human-readable data interchange.
Type of format: Data interchange
http://en.wikipedia.org/wiki/Json
is it only defined in context of a language
Certainly not. It is entirely possible to write applications which use JSON but not JavaScript.
JSON is a data format. It could be classified as a language, but not a programming language.
Its relationship to JavaScript is that it shares its syntax (more or less) with a subset of JavaScript literals. The JSON specification defines it completely; it doesn't depend on references to the JavaScript specification.
According to Computer Science, JSON accomplishes the definition of language, so it is definitely a language (in the same way XML is).
Is is basically a set of possible strings formed by symbols of an alphabet. It has also syntactic rules.
But it is not a programming language. In terms of programming, it is a format or notation.
I would classify it as a format of structured data, not a language. This Wikipedia article about Turing completeness does a pretty good job summing it up:
The notion of Turing-completeness does not apply to languages such as XML, HTML, JSON, YAML and S-expressions, because they are typically used to represent structured data, not describe computation. These are sometimes referred to as markup languages, or more properly as "container languages" or "data description languages".