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Wittgenstein on Miscalculation and the Foundations of Mathematics

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  • Additional Information
    • Publication Information:
      ODU Digital Commons
    • Publication Date:
      2022
    • Collection:
      Old Dominion University: ODU Digital Commons
    • Subject Terms:
      1889-1951
    • Abstract:
      In Remarks on the Foundations of Mathematics, Wittgenstein notes that he has 'not yet made the role of miscalculating clear' and that 'the role of the proposition: "I must have miscalculated".is really the key to an understanding of the "foundations" of mathematics.' In this paper, I hope to get clear on how this is the case. First, I will explain Wittgenstein's understanding of a 'foundation' for mathematics. Then, by showing how the proposition 'I must have miscalculated' differentiates mathematics from the physical sciences, we will see how this proposition is the key to understanding the foundations of mathematics.
    • File Description:
      application/pdf
    • Relation:
      https://digitalcommons.odu.edu/philosophy_fac_pubs/98; https://digitalcommons.odu.edu/context/philosophy_fac_pubs/article/1098/viewcontent/Wheeler_2023_WittgensteinonMiscalculationandtheFoundationsofOCR.pdf
    • Accession Number:
      10.1111/phin.12379
    • Online Access:
      https://digitalcommons.odu.edu/philosophy_fac_pubs/98
      https://doi.org/10.1111/phin.12379
      https://digitalcommons.odu.edu/context/philosophy_fac_pubs/article/1098/viewcontent/Wheeler_2023_WittgensteinonMiscalculationandtheFoundationsofOCR.pdf
    • Rights:
      © 2022 The Author. This is an open access article under the terms of the Creative Commons Attribution 4.0 International License , which permits use, distribution and reproduction in any medium, provided the original work is properly cited.
    • Accession Number:
      edsbas.4056B7FF