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m minor clarification of how finite sets are used to teach infinite sets |
m potential application of set theory |
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In Chapter 12 of The History of Mathematics: An Introduction, Burton emphasizes how mathematicians such as Zermelo, Dedekind, Galileo, Kronecker, Cantor, and Bolzano investigated and influenced infinite set theory. <ref name=":2" /> Potential historical influences, such as how Prussia's history in the 1800's, resulted in an increase in scholarly mathematical knowledge, including Candor's theory of infinite sets. <ref name=":2" />
Mathematicians including Zermelo, Dedekind, Galileo, Kronecker, Cantor, and Bolzano investigated or influenced infinite set theory. Many of these mathematicians either debated infinity or otherwise added to the ideas of infinite sets.<ref name=":2" />
One potential application of infinite set theory is in genetics and biology. <ref>{{Cite journal |last=Shelah |first=Saharon |last2=Strüngmann |first2=Lutz |date=2021-06-01 |title=Infinite combinatorics in mathematical biology |url=https://www.sciencedirect.com/science/article/pii/S0303264721000496 |journal=Biosystems |language=en |volume=204 |pages=104392 |doi=10.1016/j.biosystems.2021.104392 |issn=0303-2647}}</ref>
==Examples==
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