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This modification leads to a new large cardinal which we call <jats:italic>ultrahuge<\/jats:italic>. Subsequently, we study the placement of ultrahugeness in the usual large cardinal hierarchy, while at the same time show that some standard techniques apply nicely in the context of ultrahuge cardinals as well.<\/jats:p>","DOI":"10.1002\/malq.201400049","type":"journal-article","created":{"date-parts":[[2016,2,20]],"date-time":"2016-02-20T17:09:10Z","timestamp":1455988150000},"page":"77-87","source":"Crossref","is-referenced-by-count":1,"title":["Ultrahuge cardinals"],"prefix":"10.1002","volume":"62","author":[{"given":"Konstantinos","family":"Tsaprounis","sequence":"first","affiliation":[{"name":"Instituto de Matem\u00e1tica Departamento de Matem\u00e1tica, Universidade Federal da Bahia (UFBa) Av. Adhemar de Barros, S\/N 40170\u2013110 Salvador\/BA Brazil"}]}],"member":"311","published-online":{"date-parts":[[2016,2,19]]},"reference":[{"key":"e_1_2_10_2_1","unstructured":"G.AudritoandM.Viale Absoluteness via resurrection preprint (2014) arXiv 1404.2111."},{"key":"e_1_2_10_3_1","doi-asserted-by":"publisher","DOI":"10.1007\/s00153-011-0261-8"},{"key":"e_1_2_10_4_1","unstructured":"J.Bagaria J. D.Hamkins K.Tsaprounis andT.Usuba Superstrong and other large cardinals are never Laver indestructible. to appear in: Arch. Math. 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