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Matematik och bildning : berättelse, gräns, tystnad /Mouwitz, Lars, January 2006 (has links)
Diss. Stockholm : Kungliga tekniska högskolan, 2006. / I publikationen felaktigt: KTH/IEO/R-06/07--SE.
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Pluralism in the philosophy of mathematics : Can Pluralism give a satisfactory solution to the foundational crisis in mathematics? / Pluralism inom matematikens filosofi : Kan Pluralismen ge en tillfredställande lösning på krisen angående ett grundläggande fundament inom matematiken?Edrissi, Sara January 2022 (has links)
Over the last decade, the demand for a unifying and foundational theoryof mathematics has become more critical. This is referred to as ”thefoundational crisis in Mathematics”. In this paper I will present a newposition in the philosophy of mathematics called Pluralism. Pluralismquestions the demand for a foundational theory that can encompass all ofmathematics, and consider the possibility of having opposing mathematicaltheories that are all veracious. I will argue for Pluralism being themost advantageous theory in the philosophy of mathematics in responseto the foundational crisis of mathematics. I will argue for this by discussingthe three major themes in philosophy of mathematics: Realism,Anti-realism, and Nihilism, and show that none of them are suitable asa foundational theory. I will further argue that Pluralism gives us thebest account of mathematics as it is practiced and gives the best possibleoutset for future mathematical research and creativity.
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