Editing H-theorem (section)

== Name and pronunciation ==
Boltzmann in his original publication writes the symbol ''E'' (as in [[entropy]]) for its statistical function''.''<ref name=":0" /> Years later, [[Samuel Hawksley Burbury]], one of the critics of the theorem,<ref>{{Cite web|url=http://www.informationphilosopher.com/solutions/scientists/burbury/|title=S. H. Burbury|website=The Information Philosopher|access-date=2018-12-10}}</ref> wrote the function with the symbol ''H,''<ref>{{Cite journal|last=Burbury|first=Samuel Hawksley|title=On some problems in the kinetic theory of gases|journal=The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science|volume=30|issue=185|pages=298–317|doi=10.1080/14786449008620029|year=1890|url=https://zenodo.org/record/2173398}}</ref> a notation that was subsequently adopted by Boltzmann when referring to his ''"H-''theorem".<ref>{{Cite book|title=Vorlesungen Uber Gastheorie|last=Boltzmann|first=Ludwig|publisher=I Theil|year=1896|location=Leipzig}}</ref> The notation has led to some confusion regarding the name of the theorem. Even though the statement is usually referred to as the "''[[H|Aitch]]'' theorem''"'', sometimes it is instead called the "''[[Eta]]'' theorem", as the capital [[Greek alphabet|Greek letter]] ''Eta'' (''Η'') is indistinguishable from the capital version of [[Latin alphabet|Latin letter]] ''h'' (''H'')''.''<ref name=":1">{{Cite journal|last=Chapman|first=Sydney|date=May 1937|title=Boltzmann's H-Theorem|journal=Nature|language=en|volume=139|issue=3526|pages=931|doi=10.1038/139931a0|issn=1476-4687|bibcode=1937Natur.139..931C|s2cid=4100667|doi-access=free}}</ref> Discussions have been raised on how the symbol should be understood, but it remains unclear due to the lack of written sources from the time of the theorem.<ref name=":1" /><ref>{{Cite journal|last=Brush|first=Stephen G.|date=1967|title=Boltzmann's "Eta Theorem": Where's the Evidence?|journal=American Journal of Physics|volume=35|issue=9|pages=892|doi=10.1119/1.1974281|bibcode=1967AmJPh..35..892B}}</ref> Studies of the [[typography]] and the work of  [[Josiah Willard Gibbs|J.W. Gibbs]]<ref>{{Cite book|title=Elementary Principles in Statistical Mechanics|last=Gibbs|first=J. Willard|date=1902|publisher=Schribner|location=New York|language=en}}</ref> seem to favour the interpretation of ''H'' as ''Eta''.<ref>{{Cite journal|last=Hjalmars|first=Stig|date=1976|title=Evidence for Boltzmann ''H'' as capital eta|journal=American Journal of Physics|volume=45|issue=2|pages=214–215|doi=10.1119/1.10664}}</ref>