Concept

Element of a set

Overview

any one of the distinct objects that make up a set in set theory

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

Possible passages

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A whole number is thus a collection of 1s, but the properties of the whole number are something quite different from that of the elements through which it is constituted, just as an atom may be composed of electrons and yet, in valency, possess a property that is not the direct analogue of any property possessed by electrons not so organized.
John Dewey, Creative Intelligence
Close in meaning to Element of a set; the term itself is not named.
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The world may be conceived as consisting of a multitude of entities arranged in a certain pattern. The entities which are arranged I shall call "particulars." The arrangement or pattern results from relations among particulars. Classes or series of particulars, collected together on account of some property which makes it convenient to be able to speak of them as wholes, are what I call logical constructions or…
Bertrand Russell, Mysticism and Logic and Other Essays
Close in meaning to Element of a set; the term itself is not named.
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But they are definitions in the geometrical sense, not the logical; asserting not the meaning of a term only, but along with it an observed matter of fact. The proposition, "A circle is a figure bounded by a line which has all its points equally distant from a point within it," is called the definition of a circle; but the proposition from which so many consequences follow, and which is really a first principle in…
John Stuart Mill, A System of Logic
States what Element of a set is.
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Related ideas

Place in the tradition

Part of Outline of logic.

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