Concept

Singleton (mathematics)

Overview

In mathematics, a singleton (also known as a unit set or one-point set) is a set with exactly one element. For example, the set

{

}

{\displaystyle \{0\}}

is a singleton whose single element is

{\displaystyle 0}

Overview adapted from Wikipedia (CC BY-SA 4.0; see the article history for authors).

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Mathematicians have distinguished different degrees of continuity, and have confined the word "continuous," for technical purposes, to series having a certain high degree of continuity. But for philosophical purposes, all that is important in continuity is introduced by the lowest degree of continuity, which is called "compactness." A series is called "compact" when no two terms are consecutive, but…
Bertrand Russell, Our Knowledge of the External World as a Field for Scientific Method in Philosophy
States what Singleton is; the author is tied to Singleton in the knowledge graph.
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Any such select set is called the set of postulates, or premises, from which the reasoning proceeds. The reasoning is nothing else than the exhibition of the whole pattern of general conditions involved in the pattern derived from the selected postulates.
Alfred North Whitehead, Science and the modern world
States what Singleton is; the author is tied to Singleton in the knowledge graph.
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The same thing is exemplified in geometry. If we want to prove some property of _all_ triangles, we draw some one triangle and reason about it; but we can avoid making use of any property which it does not share with all other triangles, and thus, from our…
Bertrand Russell, The Problems of Philosophy
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