{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,6,11]],"date-time":"2025-06-11T18:22:32Z","timestamp":1749666152899,"version":"3.32.0"},"reference-count":31,"publisher":"Cambridge University Press (CUP)","issue":"4","license":[{"start":{"date-parts":[[2023,7,24]],"date-time":"2023-07-24T00:00:00Z","timestamp":1690156800000},"content-version":"unspecified","delay-in-days":0,"URL":"https:\/\/www.cambridge.org\/core\/terms"}],"content-domain":{"domain":["cambridge.org"],"crossmark-restriction":true},"short-container-title":["The Review of Symbolic Logic"],"published-print":{"date-parts":[[2024,12]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>In the early nineteenth century, a series of articles by Laplace and Poisson discussed the importance of \u2018directness\u2019 in mathematical methodology. In this thesis, we argue that their conception of a \u2018direct\u2019 proof is similar to the more widely contemplated notion of a \u2018pure\u2019 proof. More rigorous definitions of mathematical purity were proposed in recent publications by Arana and Detlefsen, as well as by Kahle and Pulcini: we compare Laplace and Poisson\u2019s writings with these modern definitions of purity and show how the modern definitions fail to grasp some more nuanced aspects.<\/jats:p>","DOI":"10.1017\/s1755020323000163","type":"journal-article","created":{"date-parts":[[2023,7,24]],"date-time":"2023-07-24T07:23:57Z","timestamp":1690183437000},"page":"1018-1054","update-policy":"https:\/\/doi.org\/10.1017\/policypage","source":"Crossref","is-referenced-by-count":2,"title":["\u2018A REMARKABLE ARTIFICE\u2019: LAPLACE, POISSON AND MATHEMATICAL PURITY"],"prefix":"10.1017","volume":"17","author":[{"given":"BRAM","family":"PEL","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"56","published-online":{"date-parts":[[2023,7,24]]},"reference":[{"key":"S1755020323000163_r27","volume-title":"Adnotationes Ad Calculum Integralem Euleri: In Quibus Nonnulla Problemata","volume":"11","author":"Mascheroni","year":"1790"},{"volume-title":"Trait\u00e9 Des diff\u00e9rences et Des s\u00e9ries, Faisant Suite Au Trait\u00e9 du Calcul diff\u00e9rentiel et du Calcul int\u00e9gral","year":"1800","author":"Lacroix","key":"S1755020323000163_r20"},{"key":"S1755020323000163_r2","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-319-53385-8_16"},{"key":"S1755020323000163_r26","doi-asserted-by":"publisher","DOI":"10.1093\/acprof:oso\/9780199296453.003.0006"},{"key":"S1755020323000163_r28","doi-asserted-by":"publisher","DOI":"10.1080\/00029890.2009.11920947"},{"key":"S1755020323000163_r7","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4614-5725-1"},{"key":"S1755020323000163_r11","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-319-17368-9"},{"key":"S1755020323000163_r29","first-page":"1","article-title":"The unsolvability of the quintic: A case study in abstract mathematical explanation","volume":"15","author":"Pincock","year":"2015","journal-title":"Philosopher\u2019s Imprint"},{"key":"S1755020323000163_r31","doi-asserted-by":"publisher","DOI":"10.2307\/2214652"},{"key":"S1755020323000163_r14","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-319-28582-5_13"},{"key":"S1755020323000163_r1","doi-asserted-by":"publisher","DOI":"10.1515\/9781614518471.315"},{"key":"S1755020323000163_r19","first-page":"125","volume-title":"The Logica Yearbook 2007","author":"Kahle","year":"2018"},{"key":"S1755020323000163_r5","doi-asserted-by":"publisher","DOI":"10.1016\/j.hm.2017.04.002"},{"key":"S1755020323000163_r22","first-page":"178","article-title":"M\u00e9moire Sur divers points d\u2019analyse","volume":"XIV","author":"Laplace","year":"1809","journal-title":"Oeuvres Compl\u00e8tes"},{"volume-title":"David Hilbert\u2019s Lectures on the Foundations of Geometry 1891\u20131902","year":"2004","author":"Hilbert","key":"S1755020323000163_r17"},{"key":"S1755020323000163_r24","first-page":"279","article-title":"M\u00e9moire Sur les int\u00e9grales d\u00e9finies et leur application aux probabilit\u00e9s, et sp\u00e9cialementa la recherche du milieu qu\u2019il faut choisir entre les r\u00e9sultats des observations","volume":"11","author":"Laplace","year":"1811","journal-title":"Memoires de l\u2019Academie des Sciences de Paris"},{"key":"S1755020323000163_r30","first-page":"243","article-title":"Sur les int\u00e9grales d\u00e9finies","volume":"42","author":"Poisson","year":"1811","journal-title":"Bulletin de la Soci\u00e9t\u00e9 philomathique de Paris"},{"key":"S1755020323000163_r12","doi-asserted-by":"publisher","DOI":"10.1093\/acprof:oso\/9780199296453.003.0008"},{"key":"S1755020323000163_r10","first-page":"480","article-title":"Poisson, Sim\u00e9on-Denis","volume":"15","author":"Costabel","year":"2008","journal-title":"Complete Dictionary of Scientific Biography"},{"key":"S1755020323000163_r4","unstructured":"[4] Aristotle. 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Published by Cambridge University Press on behalf of The Association for Symbolic Logic","name":"copyright","label":"Copyright","group":{"name":"copyright_and_licensing","label":"Copyright and Licensing"}}]}}