{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,6,14]],"date-time":"2024-06-14T15:57:37Z","timestamp":1718380657436},"reference-count":5,"publisher":"Cambridge University Press (CUP)","issue":"1","license":[{"start":{"date-parts":[[2014,3,12]],"date-time":"2014-03-12T00:00:00Z","timestamp":1394582400000},"content-version":"unspecified","delay-in-days":18639,"URL":"https:\/\/www.cambridge.org\/core\/terms"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J. symb. log."],"published-print":{"date-parts":[[1963,3]]},"abstract":"<jats:p>The present work was inspired by Mostowski's paper [3] in which he considers classes of sequences of real numbers, and associated sets of primitive recursive real numbers. The present treatment will differ from that of [3] in that we consider the real numbers in (0, \u221e), instead of just those in (0, 1), but this will make little difference. In \u00a71 we develop a general theory, and in \u00a72 we show the relation of this theory to the results contained in [3], and to those of other authors.<\/jats:p>","DOI":"10.2307\/2271331","type":"journal-article","created":{"date-parts":[[2006,5,6]],"date-time":"2006-05-06T20:20:24Z","timestamp":1146946824000},"page":"1-16","source":"Crossref","is-referenced-by-count":17,"title":["Recursive real numbers"],"prefix":"10.1017","volume":"28","author":[{"given":"A. H.","family":"Lachlan","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"56","published-online":{"date-parts":[[2014,3,12]]},"reference":[{"key":"S002248120011549X_ref001","first-page":"550","volume-title":"Introduction to metatnathematics","author":"Kleene"},{"key":"S002248120011549X_ref004","first-page":"206","volume-title":"Rekursive Funktionen","author":"Peter","year":"1951"},{"key":"S002248120011549X_ref002","doi-asserted-by":"crossref","first-page":"105","DOI":"10.4064\/fm-49-2-105-118","article-title":"On primitive recursive real numbers","volume":"49","author":"Lehman","year":"1961","journal-title":"Fundamenta mathematicae"},{"key":"S002248120011549X_ref005","first-page":"145","article-title":"Nicht konstruktiv beweisbare Satte der Analysis","volume":"14","author":"Specker","journal-title":"this Journal"},{"key":"S002248120011549X_ref003","doi-asserted-by":"crossref","first-page":"37","DOI":"10.4064\/fm-44-1-37-51","article-title":"Computable sequences","volume":"44","author":"Mostowski","year":"1957","journal-title":"Fundamenta mathematicae"}],"container-title":["Journal of Symbolic Logic"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.cambridge.org\/core\/services\/aop-cambridge-core\/content\/view\/S002248120011549X","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,6,4]],"date-time":"2019-06-04T19:31:51Z","timestamp":1559676711000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.cambridge.org\/core\/product\/identifier\/S002248120011549X\/type\/journal_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1963,3]]},"references-count":5,"journal-issue":{"issue":"1","published-print":{"date-parts":[[1963,3]]}},"alternative-id":["S002248120011549X"],"URL":"https:\/\/doi.org\/10.2307\/2271331","relation":{},"ISSN":["0022-4812","1943-5886"],"issn-type":[{"value":"0022-4812","type":"print"},{"value":"1943-5886","type":"electronic"}],"subject":[],"published":{"date-parts":[[1963,3]]}}}