{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,17]],"date-time":"2026-02-17T18:10:58Z","timestamp":1771351858777,"version":"3.50.1"},"publisher-location":"Berlin, Heidelberg","reference-count":12,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"value":"9783662458235","type":"print"},{"value":"9783662458242","type":"electronic"}],"license":[{"start":{"date-parts":[[2015,1,1]],"date-time":"2015-01-01T00:00:00Z","timestamp":1420070400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2015,1,1]],"date-time":"2015-01-01T00:00:00Z","timestamp":1420070400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2015]]},"DOI":"10.1007\/978-3-662-45824-2_14","type":"book-chapter","created":{"date-parts":[[2014,12,1]],"date-time":"2014-12-01T11:07:51Z","timestamp":1417432071000},"page":"195-206","source":"Crossref","is-referenced-by-count":4,"title":["Ordinals in an Algebra-Valued Model of a Paraconsistent Set Theory"],"prefix":"10.1007","author":[{"given":"Sourav","family":"Tarafder","sequence":"first","affiliation":[]}],"member":"297","reference":[{"key":"14_CR1","doi-asserted-by":"publisher","DOI":"10.1093\/acprof:oso\/9780198568520.001.0001","volume-title":"Set Theory: Boolean-Valued Models and Independence Proofs","author":"J.L. Bell","year":"2005","unstructured":"Bell, J.L.: Set Theory: Boolean-Valued Models and Independence Proofs. Oxford University Press, Oxford (2005)"},{"key":"14_CR2","series-title":"Lecture Notes in Pure and Applied Mathematics","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1201\/9780203910139","volume-title":"Paraconsistency: The Logical Way to the Inconsistent","author":"W.A. Carnielli","year":"2002","unstructured":"Carnielli, W.A., Marcos, J.: A Taxonomy of C-Systems. In: Carnielli, W.A., Coniglio, M.E., D\u2019Ottaviano, I.M.L. (eds.) Paraconsistency: The Logical Way to the Inconsistent. Lecture Notes in Pure and Applied Mathematics, vol.\u00a0228, pp. 1\u201394. Marcel Dekker, New York (2002)"},{"issue":"2","key":"14_CR3","doi-asserted-by":"publisher","first-page":"387","DOI":"10.1093\/jigpal\/jzt026","volume":"22","author":"M.E. Coniglio","year":"2014","unstructured":"Coniglio, M.E., Da Cruz Silvestrini, L.H.: An Alternative Approach for Quasi-Truth. Logic Journal of the IGPL\u00a022(2), 387\u2013410 (2014)","journal-title":"Logic Journal of the IGPL"},{"key":"14_CR4","series-title":"Lecture Notes in Mathematics","doi-asserted-by":"crossref","first-page":"402","DOI":"10.1007\/BFb0061825","volume-title":"Applications of Sheaves, Proceedings of the Research Symposium on Applications of Sheaf Theory to Logic, Algebra and Analysis","author":"R.J. Grayson","year":"1979","unstructured":"Grayson, R.J.: Heyting-valued models for intuitionistic set theory. In: Fourman, M.P., Mulvey, C.J., Scott, D.S. (eds.) Applications of Sheaves, Proceedings of the Research Symposium on Applications of Sheaf Theory to Logic, Algebra and Analysis, University of Durham, Durham, July 9\u201321, 1977. Lecture Notes in Mathematics, vol.\u00a0753, pp. 402\u2013414. Springer, Berlin (1979)"},{"key":"14_CR5","doi-asserted-by":"crossref","unstructured":"L\u00f6we,\u00a0B., Tarafder,\u00a0S.: Generalised Algebra-Valued Models of Set Theory. Review of Symbolic Logic (accepted, 2014)","DOI":"10.1017\/S175502031400046X"},{"issue":"2","key":"14_CR6","doi-asserted-by":"publisher","first-page":"625","DOI":"10.2178\/jsl\/1185803627","volume":"72","author":"M. Ozawa","year":"2007","unstructured":"Ozawa, M.: Transfer Principle in Quantum Set Theory. Journal of Symbolic Logic\u00a072(2), 625\u2013648 (2007)","journal-title":"Journal of Symbolic Logic"},{"key":"14_CR7","unstructured":"Ozawa, M.: Orthomodular-Valued Models for Quantum Set Theory. Preprint, ArXiv 0908.0367 (2009)"},{"issue":"1","key":"14_CR8","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1007\/BF01270392","volume":"32","author":"G. Takeuti","year":"1992","unstructured":"Takeuti, G., Titani, S.: Fuzzy Logic and Fuzzy Set Theory. Archive for Mathematical Logic\u00a032(1), 1\u201332 (1992)","journal-title":"Archive for Mathematical Logic"},{"key":"14_CR9","unstructured":"Tarafder, S., Chakraborty, M.K.: A Three-Valued Paraconsistent Logic Suitable for a Paraconsistent Set Theory (preprint, 2014)"},{"issue":"6","key":"14_CR10","doi-asserted-by":"publisher","first-page":"395","DOI":"10.1007\/s001530050134","volume":"38","author":"S. Titani","year":"1999","unstructured":"Titani, S.: A Lattice-Valued Set Theory. Archive for Mathematical Logic\u00a038(6), 395\u2013421 (1999)","journal-title":"Archive for Mathematical Logic"},{"issue":"11","key":"14_CR11","doi-asserted-by":"publisher","first-page":"2575","DOI":"10.1023\/B:IJTP.0000005977.55748.e4","volume":"42","author":"S. Titani","year":"2003","unstructured":"Titani, S., Kozawa, H.: Quantum Set Theory. International Journal of Theoretical Physics\u00a042(11), 2575\u20132602 (2003)","journal-title":"International Journal of Theoretical Physics"},{"issue":"1","key":"14_CR12","doi-asserted-by":"publisher","first-page":"71","DOI":"10.1017\/S1755020309990281","volume":"3","author":"Z. Weber","year":"2010","unstructured":"Weber, Z.: Transfinite Numbers in Paraconsistent Set Theory. Review of Symbolic Logic\u00a03(1), 71\u201392 (2010)","journal-title":"Review of Symbolic Logic"}],"container-title":["Lecture Notes in Computer Science","Logic and Its Applications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-662-45824-2_14","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,2,16]],"date-time":"2023-02-16T21:36:28Z","timestamp":1676583388000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-3-662-45824-2_14"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015]]},"ISBN":["9783662458235","9783662458242"],"references-count":12,"URL":"https:\/\/doi.org\/10.1007\/978-3-662-45824-2_14","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"value":"0302-9743","type":"print"},{"value":"1611-3349","type":"electronic"}],"subject":[],"published":{"date-parts":[[2015]]}}}