Definition:Characteristic Property of Set
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Definition
Let $S$ be a set which is specified by means of such a propositional function:
- $S = \set {a: \map P a}$
The open statement $\map P x$ is known as a characteristic property of $S$.
Sources
- 1975: T.S. Blyth: Set Theory and Abstract Algebra ... (previous) ... (next): $\S 1$. Sets; inclusion; intersection; union; complementation; number systems