現代数学の系譜工学物理雑談古典ガロア理論も読む44

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437: 現代数学の系譜 工学物理雑談 古典ガロア理論も読む [sage] 2017/10/14(土) 23:30:17.31 ID:r5EFCImt

>>436 つづき

https://en.wikipedia.org/wiki/Infinity Infinity
(抜粋)
Infinity (symbol: ∞) is an abstract concept describing something without any bound or larger than any number.
Philosophers have speculated about the nature of the infinite, for example Zeno of Elea, who proposed many paradoxes involving infinity, and Eudoxus of Cnidus, who used the idea of infinitely small quantities in his method of exhaustion.
Modern mathematics uses the general concept of infinity in the solution of many practical and theoretical problems, such as in calculus and set theory, and the idea also is used in physics and the other sciences.

In mathematics, "infinity" is often treated as a number (i.e., it counts or measures things: "an infinite number of terms") but it is not the same sort of number as either a natural or a real number.

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).[1] For example, the set of integers is countably infinite, while the infinite set of real numbers is uncountable.[2]
(引用終り)

つづく

http://rio2016.5ch.net/test/read.cgi/math/1506848694/437

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