Understanding mathematical texts: a hermeneutical approach

نویسندگان

چکیده

Abstract The work done so far on the understanding of mathematical (proof) texts focuses mostly logical and heuristical aspects; a proof text is considered to be understood when reader able justify inferential steps occurring in it, defend it against objections, give an account “main ideas”, transfer idea other contexts etc. (see, e.g., Avigad philosophy practice, Oxford University Press, Oxford, 2008). In contrast, there rich philosophical tradition dealing with concept interpreting texts, namely hermeneutics, represented, by Schleiermacher, Dilthey, Heidegger or Gadamer. this tradition, “understanding” generally refers integration comprehensive (historical, existential, life-worldly, ...) context. article, we take some first towards exploring question how ideas from hermeneutics presented Gadamer’s “Truth Method” apply what (if anything) can learned these for didactics presentation mathematics.

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ژورنال

عنوان ژورنال: Synthese

سال: 2022

ISSN: ['0039-7857', '1573-0964']

DOI: https://doi.org/10.1007/s11229-022-03930-5