{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,29]],"date-time":"2025-09-29T12:06:37Z","timestamp":1759147597232},"reference-count":15,"publisher":"Wiley","issue":"3","license":[{"start":{"date-parts":[[2013,3,20]],"date-time":"2013-03-20T00:00:00Z","timestamp":1363737600000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Mathematical Logic Qtrly"],"published-print":{"date-parts":[[2013,5]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>We study combinatorial large cardinal properties on <jats:styled-content>\\documentclass{article}\\usepackage{amssymb}\\begin{document}\\pagestyle{empty}${\\mathcal {P}}_{\\kappa } \\lambda$\\end{document}<jats:inline-graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" xlink:href=\"graphic\/tex2gif-ueqn-1.gif\" xlink:title=\"equation image\" \/><\/jats:styled-content>, such as ineffability, almost ineffability, subtlety, and the Shelah property. We show that, even when \u03bb &gt; \u03ba, the almost ineffability of <jats:styled-content>\\documentclass{article}\\usepackage{amssymb}\\begin{document}\\pagestyle{empty}${\\mathcal {P}}_{\\kappa } \\lambda$\\end{document}<jats:inline-graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" xlink:href=\"graphic\/tex2gif-ueqn-2.gif\" xlink:title=\"equation image\" \/><\/jats:styled-content> does not yield the ineffability of \u03ba. We also show that the Shelah property and the partition property of <jats:styled-content>\\documentclass{article}\\usepackage{amssymb}\\begin{document}\\pagestyle{empty}${\\mathcal {P}}_{\\kappa } \\lambda$\\end{document}<jats:inline-graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" xlink:href=\"graphic\/tex2gif-ueqn-3.gif\" xlink:title=\"equation image\" \/><\/jats:styled-content> do not yield the subtlety of \u03ba.<\/jats:p>","DOI":"10.1002\/malq.201200003","type":"journal-article","created":{"date-parts":[[2013,3,20]],"date-time":"2013-03-20T08:37:20Z","timestamp":1363768640000},"page":"230-237","source":"Crossref","is-referenced-by-count":3,"title":["Hierarchies of ineffabilities"],"prefix":"10.1002","volume":"59","author":[{"given":"Toshimichi","family":"Usuba","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2013,3,20]]},"reference":[{"key":"e_1_2_6_2_1","doi-asserted-by":"publisher","DOI":"10.1007\/s00153-004-0272-9"},{"key":"e_1_2_6_3_1","first-page":"109","volume-title":"Colloquia Mathematica Societatis J\u2019anos Bolyai Vol. 10","author":"Baumgartner J.","year":"1975"},{"key":"e_1_2_6_4_1","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511758867.002"},{"key":"e_1_2_6_5_1","doi-asserted-by":"publisher","DOI":"10.1002\/malq.19850312503"},{"key":"e_1_2_6_6_1","doi-asserted-by":"publisher","DOI":"10.1007\/BF01953970"},{"key":"e_1_2_6_7_1","doi-asserted-by":"crossref","first-page":"181","DOI":"10.4064\/fm-128-3-181-195","article-title":"P\n                  \u03ba\u03bb partition relations","volume":"128","author":"Carr D. M.","year":"1987","journal-title":"Fundam. Math"},{"key":"e_1_2_6_8_1","doi-asserted-by":"publisher","DOI":"10.1016\/0003-4843(73)90014-4"},{"key":"e_1_2_6_9_1","doi-asserted-by":"publisher","DOI":"10.1007\/BF01903842"},{"key":"e_1_2_6_10_1","first-page":"141","article-title":"Remarks on P\n                  \u03ba\u03bb\u2010combinatorics","volume":"145","author":"Kamo S.","year":"1994","journal-title":"Fundam. Math"},{"key":"e_1_2_6_11_1","volume-title":"The higher infinite. Large cardinals in set theory from their beginnings. Perspectives in Mathematical Logic","author":"Kanamori A.","year":"1994"},{"key":"e_1_2_6_12_1","doi-asserted-by":"publisher","DOI":"10.1007\/BF02761175"},{"key":"e_1_2_6_13_1","doi-asserted-by":"publisher","DOI":"10.2969\/jmsj\/1145287097"},{"key":"e_1_2_6_14_1","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9939-05-08206-7"},{"key":"e_1_2_6_15_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.apal.2011.08.001"},{"key":"e_1_2_6_16_1","doi-asserted-by":"publisher","DOI":"10.2969\/jmsj\/06030935"}],"container-title":["Mathematical Logic Quarterly"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.wiley.com\/onlinelibrary\/tdm\/v1\/articles\/10.1002%2Fmalq.201200003","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.wiley.com\/onlinelibrary\/tdm\/v1\/articles\/10.1002%2Fmalq.201200003","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1002\/malq.201200003","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,10,30]],"date-time":"2023-10-30T07:06:58Z","timestamp":1698649618000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1002\/malq.201200003"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013,3,20]]},"references-count":15,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2013,5]]}},"alternative-id":["10.1002\/malq.201200003"],"URL":"https:\/\/doi.org\/10.1002\/malq.201200003","archive":["Portico"],"relation":{},"ISSN":["0942-5616","1521-3870"],"issn-type":[{"value":"0942-5616","type":"print"},{"value":"1521-3870","type":"electronic"}],"subject":[],"published":{"date-parts":[[2013,3,20]]}}}