{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,6]],"date-time":"2026-04-06T07:52:59Z","timestamp":1775461979666,"version":"3.50.1"},"reference-count":6,"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":25029,"URL":"https:\/\/www.cambridge.org\/core\/terms"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J. symb. log."],"published-print":{"date-parts":[[1945,9]]},"abstract":"<jats:p>In an <jats:italic>m<\/jats:italic>-valued propositional calculus, or a formalization of such a calculus, truth-value functions are allowed to take any truth-value <jats:italic>t<\/jats:italic> where 1 \u2266 <jats:italic>t<\/jats:italic> \u2266 <jats:italic>m<\/jats:italic> and <jats:italic>m<\/jats:italic> \u2267 2. In working with such calculi, or formalizations thereof, it has been decided to distinguish those truth-values which it is desirable for provable formulas to have from those which it is not desirable for provable formulas to have. The first class of truth-values is called designated and the second undesignated. This specification of certain of the <jats:italic>m<\/jats:italic> truth-values as designated and the remainder as undesignated is one of the distinguishing characteristics of <jats:italic>m<\/jats:italic>-valued propositional calculi, and it should be observed at the outset that two <jats:italic>m<\/jats:italic>-valued propositional calculi will be considered to differ even if they differ only in respect to the number of truth-values which are taken as designated.<\/jats:p>","DOI":"10.2307\/2267026","type":"journal-article","created":{"date-parts":[[2006,5,6]],"date-time":"2006-05-06T18:52:47Z","timestamp":1146941567000},"page":"61-82","source":"Crossref","is-referenced-by-count":28,"title":["Axiom schemes for <i>m<\/i>-valued propositions calculi"],"prefix":"10.1017","volume":"10","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":"S002248120006151X_ref003","first-page":"259","article-title":"Aksjomalyzacja tr\u00f3jwarto\u015bciowego rachunku zda\u0144","volume":"24","author":"Wajsberg","year":"1931","journal-title":"Comptes rendus des s\u00e9ances de la Soci\u00e9t\u00e9 des Sciences et des Lettres de Varsovie"},{"key":"S002248120006151X_ref004","doi-asserted-by":"publisher","DOI":"10.2307\/2370324"},{"key":"S002248120006151X_ref002","first-page":"30","article-title":"Untersuchungen \u00fcber den Aussagenkalk\u00fcl","volume":"23","author":"\u0141ukasiewicz","year":"1930","journal-title":"Comptes rendus des s\u00e9ances de la Soci\u00e9t\u00e9 des Sciences et des Lettres de Varsovie"},{"key":"S002248120006151X_ref005","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":"S002248120006151X_ref001","first-page":"169","article-title":"O logice tr\u00f3jwarto\u015bciowej","volume":"5","author":"\u0141ukasiewicz","year":"1920","journal-title":"Ruch filozoficzny"},{"key":"S002248120006151X_ref006","doi-asserted-by":"publisher","DOI":"10.1007\/BF01475439"}],"container-title":["Journal of Symbolic Logic"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.cambridge.org\/core\/services\/aop-cambridge-core\/content\/view\/S002248120006151X","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,6,8]],"date-time":"2019-06-08T11:17:12Z","timestamp":1559992632000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.cambridge.org\/core\/product\/identifier\/S002248120006151X\/type\/journal_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1945,9]]},"references-count":6,"journal-issue":{"issue":"3","published-print":{"date-parts":[[1945,9]]}},"alternative-id":["S002248120006151X"],"URL":"https:\/\/doi.org\/10.2307\/2267026","relation":{},"ISSN":["0022-4812","1943-5886"],"issn-type":[{"value":"0022-4812","type":"print"},{"value":"1943-5886","type":"electronic"}],"subject":[],"published":{"date-parts":[[1945,9]]}}}