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In this paper, we prove that the 2-categorical analogues of this theorem relating 2-limits and 2-terminal objects in the various choices of slice 2-categories of 2-cones are false. Furthermore we show that, even when weakening the 2-cones to pseudo- or lax-natural transformations, or considering bi-type limits and bi-terminal objects, there is still no such correspondence.<\/jats:p>","DOI":"10.1007\/s10485-022-09691-z","type":"journal-article","created":{"date-parts":[[2022,9,8]],"date-time":"2022-09-08T14:03:07Z","timestamp":1662645787000},"page":"1283-1304","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["2-Limits and 2-Terminal Objects are too Different"],"prefix":"10.1007","volume":"30","author":[{"given":"tslil","family":"clingman","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8296-6594","authenticated-orcid":false,"given":"Lyne","family":"Moser","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2022,9,8]]},"reference":[{"key":"9691_CR1","first-page":"3","volume":"15","author":"C Auderset","year":"1974","unstructured":"Auderset, C.: Adjonctions et monades au niveau des $$2$$-cat\u00e9gories. 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