What is Foundational crisis of mathematics?
{{Infobox historical era|start=1874|end=c. 1945|name=Foundational crisis of mathematics|key_events=[[New Math]]}} The '''foundational crisis of mathematics''' describes the debate that existed in [[mathematics]] starting at the end of the [[19th century]] until the middle of the [[20th century]].<ref>{{Citation|last=Ferreiros|first=J.|title=The Crisis in the Foundations of Mathematics|date=2008|url=https://philpapers.org/rec/FERTCI|work=Princeton Companion to Mathematics|editor-last=Gowers|editor-first=Timothy|publisher=Princeton University Press|access-date=2022-08-26}}</ref><ref>{{Citation|last=Robič|first=Borut|title=The Foundational Crisis of Mathematics|date=2015|url=https://doi.org/10.1007/978-3-662-44808-3_2|work=The Foundations of Computability Theory|pages=9–30|editor-last=Robič|editor-first=Borut|place=Berlin, Heidelberg|publisher=Springer|language=en|doi=10.1007/978-3-662-44808-3_2|isbn=978-3-662-44808-3|s2cid=124817202 |access-date=2022-08-26}}</ref><ref>{{Citation|title=Crisis in the Foundation of Mathematics {{!}} Infinite Series|url=https://www.youtube.com/watch?v=KTUVdXI2vng|language=en|access-date=2022-08-26}}</ref> == Background == In 1874, at the University of Halle in Germany, the mathematician [[Georg Cantor]] presented his [[set theory]]. Years later, the mathematician Bertrand Russell found paradoxical cases in which there were sets composed of other sets, or sets in which the set itself was an element of itself. This was called [[Russell's paradox]].<ref>{{Citation|title=Los límites de las matemáticas|url=https://www.youtube.com/watch?v=ntlIA0KwJ_Q|language=en|access-date=2022-08-26}}</ref> As a result, three schools of mathematical thought appeared: intuitionism, logicism, and formalism.<ref>{{Citation|title=Math's Fundamental Flaw|url=https://www.youtube.com/watch?v=HeQX2HjkcNo|language=en|access-date=2022-08-26}}</ref> == Aftermath == [[:en:Nicolas_Bourbaki|Nicolas Bourbaki]] appeared right after [[World War II]], since foundational crisis of mathematics was evident, and the loss of