Mathematics, ethics and purism: an application of MacIntyre's virtue theory.

A traditional problem of ethics in mathematics is the denial of social responsibility. Pure mathematics is viewed as neutral and value free, and therefore free of ethical responsibility. Applications of mathematics are seen as employing a neutral set of tools which, of themselves, are free from soci...

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Publicado en:Synthese Vol. 199; no. 1/2; pp. 3137 - 3168
Autor principal: Ernest, Paul
Formato: Artículo
Publicado: Springer Nature Dec2021
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Acceso en línea:Ver este registro en EBSCOhost
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        atl: Mathematics, ethics and purism: an application of MacIntyre's virtue theory.
      aug:
        au: Ernest, Paul
        affil:
          Graduate School of Education, University of Exeter, St Lukes Campus, Heavitree Road, EX1 2LU, Exeter, UK
          Exeter, UK
      su:
        MacIntyre, Alasdair C. (Alasdair Chalmers), 1929-2025
        Philosophy of mathematics
        Social responsibility
        Virtue ethics
        Social ethics
        Mathematics education
      sug:
        subj:
          MacIntyre, Alasdair C. (Alasdair Chalmers), 1929-2025
          Philosophy of mathematics
          Social responsibility
          Virtue ethics
          Social ethics
          Mathematics education
      keyword:
        Absulutism
        Alasdair MacIntyre
        Ethics and mathematics
        Mathematics
        Purism
        Social constructivism
        Social practice
      ab: A traditional problem of ethics in mathematics is the denial of social responsibility. Pure mathematics is viewed as neutral and value free, and therefore free of ethical responsibility. Applications of mathematics are seen as employing a neutral set of tools which, of themselves, are free from social responsibility. However, mathematicians are convinced they know what constitutes good mathematics. Furthermore many pure mathematicians are committed to purism, the ideology that values purity above applications in mathematics, and some historical reasons for this are discussed. MacIntyre's virtue ethics accommodates both the good mathematician (and good pure mathematics) and the ethics of the social practice of mathematics. It demonstrates that purism is compatible with acknowledging the social responsibility of mathematics. Four aspects of this responsibility are mentioned, two concerning the impact of mathematics via education, and two concerning explicit and implicit applications of mathematics. The last of these opens up the performativity of mathematical and measurement applications in society, which change the very processes they are supposed to measure. Although these applications are not explored in detail, they illustrate the importance of considering the ethics and social responsibility of mathematics in society. MacIntyre's virtue theory opens a broad approach to the controversial topic of the ethics of mathematics encompassing purism, and absolutist and social constructivist philosophies of mathematics, but still enabling ethical critiques of the impact of mathematics on society.
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    language: English
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