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.
| Identifer | oai:union.ndltd.org:UPSALLA1/oai:DiVA.org:umu-197376 |
| Date | January 2022 |
| Creators | Edrissi, Sara |
| Publisher | Umeå universitet, Institutionen för idé- och samhällsstudier |
| Source Sets | DiVA Archive at Upsalla University |
| Language | English |
| Detected Language | English |
| Type | Student thesis, info:eu-repo/semantics/bachelorThesis, text |
| Format | application/pdf |
| Rights | info:eu-repo/semantics/openAccess |
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