# Set/Implicit Set Definition/Examples/Letters of the Alphabet

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## Example of Implicit Set Definition

An example in natural language of implicit set definition is:

- $S := \set {A, B, C, D, \dotsc, Z}$

That is, $S$ is the set of capital letters of the alphabet.

This definition is actually ambiguous, as it is not made clear *exactly* which alphabet is under consideration here.

The English one is assumed by context.

## Sources

- 1974: Murray R. Spiegel:
*Theory and Problems of Advanced Calculus*(SI ed.) ... (previous) ... (next): Chapter $1$ Numbers: Sets