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I begin by suggesting an amendment to the framework that Rescorla (2018) has used to characterize regular conditional probabilities in terms of avoiding Dutch book. If we wish to model learning scenarios in which an agent gains complete membership knowledge about some subcollection of the events of interest to her, then we should focus on updating policies that are what I shall call<jats:italic>proper<\/jats:italic>. I go on to characterize regular conditional probabilities in proper learning scenarios using what van Fraassen (1999) calls The General Reflection Principle.<\/jats:p>","DOI":"10.1017\/s1755020320000179","type":"journal-article","created":{"date-parts":[[2020,7,21]],"date-time":"2020-07-21T03:57:19Z","timestamp":1595303839000},"page":"930-945","update-policy":"https:\/\/doi.org\/10.1017\/policypage","source":"Crossref","is-referenced-by-count":7,"title":["A NEW ARGUMENT FOR KOLOMOGOROV CONDITIONALIZATION"],"prefix":"10.1017","volume":"14","author":[{"given":"MICHAEL","family":"NIELSEN","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"56","published-online":{"date-parts":[[2020,7,21]]},"reference":[{"key":"S1755020320000179_r25","volume-title":"Theory of Charges: A Study of Finitely Additive Measures","volume":"109","author":"Rao","year":"1983"},{"key":"S1755020320000179_r11","doi-asserted-by":"publisher","DOI":"10.1093\/acprof:oso\/9780199290420.003.0008"},{"key":"S1755020320000179_r10","doi-asserted-by":"publisher","DOI":"10.1017\/S1755020316000502"},{"key":"S1755020320000179_r34","doi-asserted-by":"publisher","DOI":"10.2307\/2026388"},{"key":"S1755020320000179_r18","volume-title":"The Logic of Decision","author":"Jeffrey","year":"1965"},{"key":"S1755020320000179_r24","first-page":"156","volume-title":"The Foundations of Mathematics and Other Essays","author":"Ramsey","year":"1931"},{"key":"S1755020320000179_r16","doi-asserted-by":"publisher","DOI":"10.1017\/9781316335789"},{"key":"S1755020320000179_r32","doi-asserted-by":"crossref","first-page":"285","DOI":"10.1007\/BF00276795","article-title":"The structure of radical probabilism","volume":"45","author":"Skyrms","year":"1996","journal-title":"Erkenntnis"},{"key":"S1755020320000179_r31","first-page":"245","article-title":"The value of knowledge","volume":"14","author":"Skyrms","year":"1990b","journal-title":"Minnesota Studies in the Philosophy of Science"},{"key":"S1755020320000179_r29","first-page":"1612","article-title":"Improper regular conditional distributions","volume":"29","author":"Seidenfeld","year":"2001","journal-title":"The Annals of Probability"},{"key":"S1755020320000179_r2","doi-asserted-by":"publisher","DOI":"10.1214\/aop\/1176996261"},{"key":"S1755020320000179_r19","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9781139172394"},{"key":"S1755020320000179_r14","doi-asserted-by":"publisher","DOI":"10.1007\/s11098-013-0267-7"},{"key":"S1755020320000179_r27","volume-title":"The Foundations of Statistics","author":"Savage","year":"1954"},{"key":"S1755020320000179_r12","doi-asserted-by":"publisher","DOI":"10.1086\/257678"},{"key":"S1755020320000179_r26","doi-asserted-by":"publisher","DOI":"10.1017\/S1755020317000296"},{"key":"S1755020320000179_r37","doi-asserted-by":"publisher","DOI":"10.1006\/jeth.1996.2202"},{"key":"S1755020320000179_r7","doi-asserted-by":"publisher","DOI":"10.1093\/bjps\/17.4.319"},{"key":"S1755020320000179_r8","doi-asserted-by":"publisher","DOI":"10.1093\/mind\/fzl607"},{"key":"S1755020320000179_r17","unstructured":"Huttegger, S. 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