BETWEEN PATHOLOGY AND WELL-BEHAVIOUR – A POSSIBLE FOUNDATION FOR TAME MATHEMATICS

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dc.coverageSTUDIA UBB PHILOSOPHIA, LXVII, Special Issue, 2022 (p. 63 – 75)en-US
dc.creatorMOLDOVAN, Angelo-Vlad
dc.date2022-10-30
dc.date.accessioned2026-02-21T10:39:59Z
dc.descriptionAn in-depth examination of the foundations of mathematics reveals how its treatment is centered around the topic of unique foundation vs. no need for a foundation in a traditional setting. In this paper, I show that by applying Shelah’s stability procedures to mathematics, we confine ourselves to a certain section that manages to escape the Gödel phenomenon and can be classified. We concentrate our attention on this mainly because of its tame nature. This result makes way for a new approach in foundations through model-theoretic methods. We then cover Penelope Maddy’s foundational virtues and what it means for a theory to be foundational. Having explored what a tame foundation can amount to, we argue that it can fulfil some of Maddy’s foundational qualities. In the last part, we will examine the consequences of this new paradigm – some philosophical in nature – on topics like philosophy of mathematical practice, the incompleteness theorems and others.en-US
dc.formatapplication/pdf
dc.identifierhttps://studia.reviste.ubbcluj.ro/index.php/subbphilosophia/article/view/3359
dc.identifier10.24193/subbphil.2022.sp.iss.04
dc.identifier.urihttps://hdl.handle.net/20.500.14637/1153
dc.languageeng
dc.publisherBabeș-Bolyai University / Cluj University Pressen-US
dc.relationhttps://studia.reviste.ubbcluj.ro/index.php/subbphilosophia/article/view/3359/3246
dc.rightsCopyright (c) 2022 Studia Universitatis Babeș-Bolyai Philosophiaen-US
dc.rightshttps://creativecommons.org/licenses/by-nc-nd/4.0en-US
dc.sourceStudia Universitatis Babeș-Bolyai Philosophia; Volume 67, Special Issue, October 2022; 63 – 75en-US
dc.source2065-9407
dc.source10.24193/subbphil.2022.sp.iss
dc.subjectfoundations of mathematics, tame mathematics, clarity-based knowledge, philosophy of mathematical practice, incompleteness theoremsen-US
dc.titleBETWEEN PATHOLOGY AND WELL-BEHAVIOUR – A POSSIBLE FOUNDATION FOR TAME MATHEMATICSen-US
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/publishedVersion
dc.typePeer-reviewed Articleen-US
dc.typetexten-US

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