{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,7,26]],"date-time":"2024-07-26T09:51:59Z","timestamp":1721987519333},"reference-count":59,"publisher":"Cambridge University Press (CUP)","issue":"3","license":[{"start":{"date-parts":[[2012,1,25]],"date-time":"2012-01-25T00:00:00Z","timestamp":1327449600000},"content-version":"unspecified","delay-in-days":0,"URL":"https:\/\/www.cambridge.org\/core\/terms"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["The Review of Symbolic Logic"],"published-print":{"date-parts":[[2012,9]]},"abstract":"There is an interesting logical\/semantic issue with some mathematical languages and theories. In the language of (pure) complex analysis, the two square roots of \u22121 are indiscernible: anything true of one of them is true of the other. So how does the singular term \u2018i<\/jats:italic>\u2019 manage to pick out a unique object? This is perhaps the most prominent example of the phenomenon, but there are some others. The issue is related to matters concerning the use of definite descriptions and singular pronouns, such as donkey anaphora and the problem of indistinguishable participants. Taking a cue from some work in linguistics and the philosophy of language, I suggest thati<\/jats:italic>functions like a parameter in natural deduction systems. This may require some rethinking of the role of singular terms, at least in mathematical languages.<\/jats:p>","DOI":"10.1017\/s1755020311000347","type":"journal-article","created":{"date-parts":[[2012,9,5]],"date-time":"2012-09-05T08:54:37Z","timestamp":1346835277000},"page":"380-415","source":"Crossref","is-referenced-by-count":20,"title":["AN \u201ci<\/i>\u201d FOR ANi<\/i>: SINGULAR TERMS, UNIQUENESS, AND REFERENCE"],"prefix":"10.1017","volume":"5","author":[{"given":"STEWART","family":"SHAPIRO","sequence":"first","affiliation":[]}],"member":"56","published-online":{"date-parts":[[2012,1,25]]},"reference":[{"key":"S1755020311000347_ref40","doi-asserted-by":"crossref","DOI":"10.4159\/9780674042445","volume-title":"Philosophy of Logic","author":"Quine","year":"1986"},{"key":"S1755020311000347_ref38","doi-asserted-by":"publisher","DOI":"10.1093\/0199262543.001.0001"},{"key":"S1755020311000347_ref44","doi-asserted-by":"publisher","DOI":"10.1093\/mind\/XIV.4.479"},{"key":"S1755020311000347_ref32","doi-asserted-by":"publisher","DOI":"10.1093\/0195148770.003.0018"},{"key":"S1755020311000347_ref25","doi-asserted-by":"publisher","DOI":"10.1093\/analys\/66.4.303"},{"key":"S1755020311000347_ref55","doi-asserted-by":"publisher","DOI":"10.1093\/0198237073.001.0001"},{"key":"S1755020311000347_ref46","volume-title":"Philosophy of Mathematics: Structure and Ontology","author":"Shapiro","year":"1997"},{"key":"S1755020311000347_ref33","doi-asserted-by":"crossref","DOI":"10.1093\/oso\/9780199285747.001.0001","volume-title":"Identity and modality","author":"MacBride","year":"2006"},{"key":"S1755020311000347_ref8","doi-asserted-by":"publisher","DOI":"10.1093\/analys\/66.3.216"},{"key":"S1755020311000347_ref4","doi-asserted-by":"publisher","DOI":"10.1093\/mind\/LXI.242.153"},{"key":"S1755020311000347_ref10","first-page":"105","volume-title":"Proceedings of the fourteenth Amsterdam Colloquium","author":"Elbourne","year":"2003"},{"key":"S1755020311000347_ref22","volume-title":"A Shorter Model Theory","author":"Hodges","year":"1997"},{"key":"S1755020311000347_ref45","doi-asserted-by":"publisher","DOI":"10.1093\/mind\/LXVI.263.385"},{"key":"S1755020311000347_ref12","volume-title":"Reasoning with Arbitrary Objects","author":"Fine","year":"1985"},{"key":"S1755020311000347_ref1","doi-asserted-by":"publisher","DOI":"10.1093\/philmat\/12.1.54"},{"key":"S1755020311000347_ref28","first-page":"131","volume-title":"Der Mensch: Ein \u201canimal Symbolicum\u201d?, Topologien Des Menschlichen 4","author":"Leitgeb","year":"2007"},{"key":"S1755020311000347_ref18","volume-title":"Mathematics without Numbers","author":"Hellman","year":"1989"},{"key":"S1755020311000347_ref56","doi-asserted-by":"publisher","DOI":"10.1093\/mind\/LIX.235.320"},{"key":"S1755020311000347_ref6","doi-asserted-by":"publisher","DOI":"10.1007\/s11098-010-9676-z"},{"key":"S1755020311000347_ref16","doi-asserted-by":"publisher","DOI":"10.1093\/analys\/10.4.84"},{"key":"S1755020311000347_ref20","doi-asserted-by":"publisher","DOI":"10.1093\/philmat\/11.2.129"},{"key":"S1755020311000347_ref42","doi-asserted-by":"publisher","DOI":"10.1023\/A:1024157132393"},{"key":"S1755020311000347_ref43","doi-asserted-by":"crossref","first-page":"503","DOI":"10.1093\/oso\/9780199270514.003.0016","volume-title":"Descriptions and Beyond","author":"Roberts","year":"2004"},{"key":"S1755020311000347_ref29","doi-asserted-by":"publisher","DOI":"10.1093\/philmat\/nkm039"},{"key":"S1755020311000347_ref34","doi-asserted-by":"publisher","DOI":"10.1093\/analys\/66.1.63"},{"key":"S1755020311000347_ref11","volume-title":"Situations and Individuals","author":"Elbourne","year":"2005"},{"key":"S1755020311000347_ref51","doi-asserted-by":"publisher","DOI":"10.1093\/philmat\/nkm042"},{"key":"S1755020311000347_ref5","doi-asserted-by":"publisher","DOI":"10.1093\/aristotelian\/96.1.293"},{"key":"S1755020311000347_ref15","volume-title":"Philosophical and Mathematical Correspondence","author":"Frege","year":"1980"},{"key":"S1755020311000347_ref14","doi-asserted-by":"crossref","DOI":"10.28937\/978-3-7873-2549-8","volume-title":"Wissenschaftlicher Briefwechsel","author":"Frege","year":"1976"},{"key":"S1755020311000347_ref48","doi-asserted-by":"crossref","unstructured":"Shapiro S. 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