{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,1]],"date-time":"2022-04-01T21:16:14Z","timestamp":1648847774968},"reference-count":13,"publisher":"Cambridge University Press (CUP)","issue":"3","license":[{"start":{"date-parts":[[2014,3,12]],"date-time":"2014-03-12T00:00:00Z","timestamp":1394582400000},"content-version":"unspecified","delay-in-days":16956,"URL":"https:\/\/www.cambridge.org\/core\/terms"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J. symb. log."],"published-print":{"date-parts":[[1967,10,9]]},"abstract":"<jats:p>It is well known that L, the first-order predicate calculus, is unsuitable for characterizing certain mathematical structures. Since some of those structures are quite often considered by mathematicians, extensions of L have been considered which (partially) solve the above problem. Roughly speaking, the extensions of L fall into two main categories:<\/jats:p><jats:p>(I) extensions obtained by allowing higher order variables, and<\/jats:p><jats:p>(II) extensions obtained by allowing infinitely long formulas.<\/jats:p>","DOI":"10.2307\/2270771","type":"journal-article","created":{"date-parts":[[2006,5,6]],"date-time":"2006-05-06T20:41:37Z","timestamp":1146948097000},"page":"305-318","source":"Crossref","is-referenced-by-count":11,"title":["Remarks on an infinitary language with constructive formulas"],"prefix":"10.1017","volume":"32","author":[{"given":"E. G. K.","family":"Lopez-Escobar","sequence":"first","affiliation":[]}],"member":"56","published-online":{"date-parts":[[2014,3,12]]},"reference":[{"key":"S0022481200113003_ref012","volume-title":"Logic, semantics and metamathematics","author":"Tarski","year":"1956"},{"key":"S0022481200113003_ref010","volume-title":"The theory of models","author":"Scott","year":"1965"},{"key":"S0022481200113003_ref008","volume-title":"Theory of recursive functions and effective computability","author":"Rogers","year":"1966"},{"key":"S0022481200113003_ref011","first-page":"405","article-title":"On a restricted \u03c9-rule","volume":"7","author":"Shoenfield","year":"1959","journal-title":"Bulletin de l'Academie Polonaise des Sciences,"},{"key":"S0022481200113003_ref007","doi-asserted-by":"publisher","DOI":"10.4064\/fm-57-3-253-272"},{"key":"S0022481200113003_ref002","volume-title":"Languages with infinitely long expressions","author":"Karp","year":"1964"},{"key":"S0022481200113003_ref005","volume-title":"Introduction to metamathematics","author":"Kleene","year":"1952"},{"key":"S0022481200113003_ref003","volume-title":"The theory of models","author":"Karp","year":"1965"},{"key":"S0022481200113003_ref013","doi-asserted-by":"publisher","DOI":"10.4064\/cm-6-1-171-176"},{"key":"S0022481200113003_ref001","doi-asserted-by":"publisher","DOI":"10.4064\/fm-49-1-35-92"},{"key":"S0022481200113003_ref004","first-page":"150","article-title":"On notation for ordinal numbers","volume":"3","author":"Kleene","year":"1938","journal-title":"this Journal"},{"key":"S0022481200113003_ref009","first-page":"57","article-title":"On Gentzen theorem","volume":"48","author":"Rasiowa","year":"1960","journal-title":"Fundamenta mathematicae,"},{"key":"S0022481200113003_ref006","doi-asserted-by":"crossref","first-page":"176","DOI":"10.2969\/jmsj\/01520176","article-title":"On predicates with infinitely long expressions","volume":"15","author":"Kino","year":"1963","journal-title":"Journal of the Mathematical Society of Japan,"}],"container-title":["Journal of Symbolic Logic"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.cambridge.org\/core\/services\/aop-cambridge-core\/content\/view\/S0022481200113003","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,6,2]],"date-time":"2019-06-02T19:45:56Z","timestamp":1559504756000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.cambridge.org\/core\/product\/identifier\/S0022481200113003\/type\/journal_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1967,10,9]]},"references-count":13,"journal-issue":{"issue":"3","published-print":{"date-parts":[[1967,10,9]]}},"alternative-id":["S0022481200113003"],"URL":"https:\/\/doi.org\/10.2307\/2270771","relation":{},"ISSN":["0022-4812","1943-5886"],"issn-type":[{"value":"0022-4812","type":"print"},{"value":"1943-5886","type":"electronic"}],"subject":[],"published":{"date-parts":[[1967,10,9]]}}}