What curly brackets denote, in mathematics

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SET .

Last seen on: NY Times Crossword 6 Mar 21, Saturday

Random information on the term “SET “:

In mathematics, a set is a collection of distinct elements or members. The elements that make up a set can be any kind of things, people, letters of the alphabet, or mathematical objects, such as numbers, points in space, lines or other geometrical shapes, algebraic constants and variables, or even other sets. Two sets are equal if and only if they have precisely the same elements. This is known as the axiom of extensionality.

Sets are ubiquitous in modern mathematics. The more specialized subject of set theory is part of the foundations of mathematics.

The concept of a set emerged in mathematics at the end of the 19th century. The German word Menge, rendered as “set” in English, was coined by Bernard Bolzano in his work The Paradoxes of the Infinite.

Georg Cantor was one of the founders of set theory. He gave the following definition of a set at the beginning of his Beiträge zur Begründung der transfiniten Mengenlehre:.mw-parser-output .templatequote{overflow:hidden;margin:1em 0;padding:0 40px}.mw-parser-output .templatequote .templatequotecite{line-height:1.5em;text-align:left;padding-left:1.6em;margin-top:0}

SET on Wikipedia