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Infinity (symbolically represented by ) is a concept in many fields that refers to a quantity without bound or end. People have developed various ideas throughout history about the nature of infinity. The word comes from the Latin infinitas or "unboundedness."
In mathematics, "infinity" is often treated as if it were a number (i.e., it counts or measures things: "an infinite number of terms") but it is not the same sort of number as the real numbers. The German mathematician Georg Cantor formalized many ideas related to infinity and infinite sets during the late 19th and early 20th centuries. He also discovered that there are different "kinds" of infinite sets, a concept called cardinality. For example, the set of integers is countably infinite, while the set of real numbers is uncountably infinite. |
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Infinity (symbolically represented by ) is a concept in many fields that refers to a quantity without bound or end. People have developed various ideas throughout history about the nature of infinity. The word comes from the Latin infinitas or "unboundedness." |
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In mathematics, "infinity" is often treated as if it were a number (i.e., it counts or measures things: "an infinite number of terms") but it is not the same sort of number as the real numbers. The German mathematician Georg Cantor formalized many ideas related to infinity and infinite sets during the late 19th and early 20th centuries. He also discovered that there are different "kinds" of infinite sets, a concept called cardinality. For example, the set of integers is countably infinite, while the set of real numbers is uncountably infinite. |
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