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Infinity (symbol: ) is an abstract concept describing something ''without any bound'' and is relevant in a number of fields, predominantly mathematics and physics. 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 natural or real numbers. In number systems incorporating infinitesimals, an infinitesimal's reciprocal (where it exists) is an infinite number, i.e., a number greater than any real number; see 1/∞. Georg Cantor formalized many ideas related to infinity and infinite sets during the late 19th and early 20th centuries. In the theory he developed, there are infinite sets of different sizes (called cardinalities).〔, (Extract of page 616 ) 〕 For example, the set of integers is countably infinite, while the infinite set of real numbers is uncountable. ==History== (詳細はancient Indians and Greeks did not define infinity in precise formalism as does modern mathematics, and instead approached infinity as a philosophical concept. 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「infinity」の詳細全文を読む スポンサード リンク
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