{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T07:31:12Z","timestamp":1740123072439,"version":"3.37.3"},"reference-count":18,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2019,2,12]],"date-time":"2019-02-12T00:00:00Z","timestamp":1549929600000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"funder":[{"DOI":"10.13039\/501100001807","name":"Funda\u00e7\u00e3o de Amparo \u00e0 Pesquisa do Estado de S\u00e3o Paulo","doi-asserted-by":"publisher","award":["2016\/25891-3"],"award-info":[{"award-number":["2016\/25891-3"]}],"id":[{"id":"10.13039\/501100001807","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Stud Logica"],"published-print":{"date-parts":[[2020,4]]},"DOI":"10.1007\/s11225-019-09851-8","type":"journal-article","created":{"date-parts":[[2019,2,12]],"date-time":"2019-02-12T11:40:59Z","timestamp":1549971659000},"page":"277-290","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Infinite Forcing and the Generic Multiverse"],"prefix":"10.1007","volume":"108","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-9089-4340","authenticated-orcid":false,"given":"Giorgio","family":"Venturi","sequence":"first","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2019,2,12]]},"reference":[{"issue":"1","key":"9851_CR1","doi-asserted-by":"publisher","first-page":"77","DOI":"10.2178\/bsl.1901030","volume":"19","author":"T Arrigoni","year":"2013","unstructured":"Arrigoni, T., and S.D. Friedman, The hyper universe program, Bulletin of Symbolic Logic 19(1):77\u201396, 2013.","journal-title":"Bulletin of Symbolic Logic"},{"issue":"6","key":"9851_CR2","doi-asserted-by":"publisher","first-page":"393","DOI":"10.1007\/s001530050154","volume":"39","author":"J Bagaria","year":"2000","unstructured":"Bagaria, J., Bounded forcing axioms as principles of generic absoluteness, Archive for Mathematical Logic 39(6):393\u2013401, 2000.","journal-title":"Archive for Mathematical Logic"},{"key":"9851_CR3","doi-asserted-by":"crossref","unstructured":"Balaguer, M., Platonism and Anti-platonism in Mathematics, Oxford University Press, 1998.","DOI":"10.1093\/oso\/9780195122305.001.0001"},{"key":"9851_CR4","unstructured":"Cherlin, G., A New Approach to the Theory of Infinitely Generic Structures, Dissertation, Yale University, 1971."},{"key":"9851_CR5","doi-asserted-by":"publisher","first-page":"2407","DOI":"10.1098\/rsta.2005.1661","volume":"363","author":"P Cohen","year":"2005","unstructured":"Cohen, P., Skolem and pessimism about proof in mathematics, Philosophical Transaction of the Royal Society A 363:2407\u20132418, 2005.","journal-title":"Philosophical Transaction of the Royal Society A"},{"issue":"4","key":"9851_CR6","doi-asserted-by":"publisher","first-page":"464","DOI":"10.1016\/j.apal.2014.11.004","volume":"166","author":"G Fuchs","year":"2015","unstructured":"Fuchs, G., J.D. Hamkins, and J. Reitz, Set-theoretic geology, Annals of Pure and Applied Logic 166(4):464\u2013501, 2015.","journal-title":"Annals of Pure and Applied Logic"},{"issue":"2","key":"9851_CR7","doi-asserted-by":"publisher","first-page":"527","DOI":"10.2178\/jsl\/1052669062","volume":"68","author":"JD Hamkins","year":"2003","unstructured":"Hamkins, J.D., A simple maximality principle, Journal of Symbolic Logic 68(2):527\u2013550, 2003.","journal-title":"Journal of Symbolic Logic"},{"key":"9851_CR8","doi-asserted-by":"crossref","unstructured":"Hamkins, J.D., The set-theoretic multiverse, Review of Symbolic Logic 5:416\u2013449, 2012.","DOI":"10.1017\/S1755020311000359"},{"key":"9851_CR9","unstructured":"Hamkins, J.D., Upward closure and amalgamation in the generic multiverse of a countable model of set theory, RIMS Ky\u00f4ky\u00fbroku, pp. 17\u201331, 2016."},{"issue":"3\u20134","key":"9851_CR10","doi-asserted-by":"publisher","first-page":"463","DOI":"10.1007\/s00153-014-0374-y","volume":"50","author":"JD Hamkins","year":"2014","unstructured":"Hamkins, J.D., and T. Johnstone, Resurrection axioms and uplifting cardinals, Archive for Mathematical Logic 50(3\u20134):463\u2013485, 2014.","journal-title":"Archive for Mathematical Logic"},{"key":"9851_CR11","doi-asserted-by":"crossref","unstructured":"Hirschfeld, J., and W.H. Wheeler, Forcing, Arithmetic, Division Rings, Springer, 1975.","DOI":"10.1007\/BFb0064082"},{"key":"9851_CR12","unstructured":"Hodges, W., Building Models by Games, Cambridge University Press, 1985."},{"key":"9851_CR13","unstructured":"Magidor, M., Some set theories are more equal then others, First draft from the EFI Project website, 2012."},{"key":"9851_CR14","doi-asserted-by":"publisher","first-page":"211","DOI":"10.1007\/BF02757001","volume":"25","author":"L Manevitz","year":"1976","unstructured":"Manevitz, L., Robinson forcing is not absolute, Israel Journal of Mathematics 25:211\u2013232, 1976.","journal-title":"Israel Journal of Mathematics"},{"key":"9851_CR15","doi-asserted-by":"crossref","unstructured":"V\u00e4\u00e4n\u00e4nen, J., Multiverse set theory and absolutely undecidable propositions, in J. Kennedy (ed.), Interpreting G\u00f6del, Cambridge University Press, 2014, pp. 180\u2013208.","DOI":"10.1017\/CBO9780511756306.013"},{"issue":"3","key":"9851_CR16","doi-asserted-by":"publisher","first-page":"675","DOI":"10.1090\/jams\/844","volume":"29","author":"M Viale","year":"2016","unstructured":"Viale, M., Category forcings, MM $$^{+++}$$ + + + , and generic absoluteness for the theory of strong forcing axioms, Journal of the American Mathematical Society 29(3):675\u2013728, 2016.","journal-title":"Journal of the American Mathematical Society"},{"key":"9851_CR17","doi-asserted-by":"crossref","unstructured":"Woodin, H., The axiom of Determinacy, Forcing Axioms, and the Nonstationary Ideal, Walter de Gruyter and Co., 1999.","DOI":"10.1515\/9783110804737"},{"key":"9851_CR18","doi-asserted-by":"crossref","unstructured":"Woodin, H., The Realm of the Infinite, in M. Heller, and H. Woodin (eds.) Infinity. New Research Frontiers, Cambridge University Press, 2011, pp. 89\u2013118.","DOI":"10.1017\/CBO9780511976889.006"}],"container-title":["Studia Logica"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s11225-019-09851-8\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11225-019-09851-8.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11225-019-09851-8.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,7,14]],"date-time":"2024-07-14T18:48:08Z","timestamp":1720982888000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s11225-019-09851-8"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,2,12]]},"references-count":18,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2020,4]]}},"alternative-id":["9851"],"URL":"https:\/\/doi.org\/10.1007\/s11225-019-09851-8","relation":{},"ISSN":["0039-3215","1572-8730"],"issn-type":[{"type":"print","value":"0039-3215"},{"type":"electronic","value":"1572-8730"}],"subject":[],"published":{"date-parts":[[2019,2,12]]},"assertion":[{"value":"30 October 2018","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"12 February 2019","order":2,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}