# Definition:Letter (Mathematical Theory)

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## Definition

A **letter** of a mathematical theory is a more or less arbitrary symbol whose definition depends on the specific context.

Depending on the nature of the mathematical theory, and the particular location in whatever assembly in which it occurs, the interpretation of the letter will vary.

## Bourbaki Definition

The mathematical theory as defined in Bourbaki's *Theory of Sets* specifies the **letters** as follows:

The **letters** of a mathematical theory are uppercase and lowercase Roman letters, with or without accents, e.g. $A, A', A''$.

## Sources

- 1968: Nicolas Bourbaki:
*Theory of Sets*... (previous) ... (next): Chapter $\text I$: Description of Formal Mathematics: $1$. Terms and Relations: $1$. Signs and Assemblies