{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,8,31]],"date-time":"2023-08-31T08:52:11Z","timestamp":1693471931259},"reference-count":2,"publisher":"Cambridge University Press (CUP)","issue":"4","license":[{"start":{"date-parts":[[2014,3,12]],"date-time":"2014-03-12T00:00:00Z","timestamp":1394582400000},"content-version":"unspecified","delay-in-days":23842,"URL":"https:\/\/www.cambridge.org\/core\/terms"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J. symb. log."],"published-print":{"date-parts":[[1948,12]]},"abstract":"<jats:p>A calculus, or its formalization, is <jats:italic>m<\/jats:italic>-valued when its truth-functions are allowed to take truth-values ranging from 1 through <jats:italic>m<\/jats:italic>. It is customary to divide the <jats:italic>m<\/jats:italic> truth-values that are possible into those that are \u201cdesignated\u201d and those that are \u201cundesignated.\u201d Furthermore, it is usually desired of a formalization that provable formulas and only provable formulas take designated truth-values exclusively. For our present purposes, we shall suppose that the truth-values 1, \u2026, 8 are designated and the truth-values 8+1, \u2026, <jats:italic>m<\/jats:italic> are undesignated. When calculi differ in respect to the number of their designated truth-values, we shall consider them different calculi, even if they are otherwise similar.<\/jats:p>","DOI":"10.2307\/2267133","type":"journal-article","created":{"date-parts":[[2006,5,6]],"date-time":"2006-05-06T19:03:11Z","timestamp":1146942191000},"page":"177-192","source":"Crossref","is-referenced-by-count":5,"title":["Axiom schemes for <i>m<\/i>-valued functional calculi of first order. Part I. Definition of axiom schemes and proof of plausibility"],"prefix":"10.1017","volume":"13","author":[{"given":"J. B.","family":"Rosser","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"A. R.","family":"Turquette","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"56","published-online":{"date-parts":[[2014,3,12]]},"reference":[{"key":"S002248120007359X_ref001","first-page":"9","article-title":"Der volle dreiwertige Aussagenkalk\u00fcl","volume":"29","author":"Slupecki","year":"1936","journal-title":"Comptes rendus des s\u00e9ances de la Soci\u00e9t\u00e9 des Sciences et des Lettres de Varsovie"},{"key":"S002248120007359X_ref002","volume-title":"Grundz\u00fcge der theoretischen Logik","author":"Hilbert"}],"container-title":["Journal of Symbolic Logic"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.cambridge.org\/core\/services\/aop-cambridge-core\/content\/view\/S002248120007359X","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,6,8]],"date-time":"2019-06-08T10:40:08Z","timestamp":1559990408000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.cambridge.org\/core\/product\/identifier\/S002248120007359X\/type\/journal_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1948,12]]},"references-count":2,"journal-issue":{"issue":"4","published-print":{"date-parts":[[1948,12]]}},"alternative-id":["S002248120007359X"],"URL":"https:\/\/doi.org\/10.2307\/2267133","relation":{},"ISSN":["0022-4812","1943-5886"],"issn-type":[{"value":"0022-4812","type":"print"},{"value":"1943-5886","type":"electronic"}],"subject":[],"published":{"date-parts":[[1948,12]]}}}