The Applicability of Mathematics as a Philosophical Problem. Mathematization as Exploration

Lenhard J, Otte M (2018)
Foundations of Science 23(4): 719-737.

Zeitschriftenaufsatz | Veröffentlicht | Englisch
 
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Abstract / Bemerkung
This paper discerns two types of mathematization, a foundational and an explorative one. The foundational perspective is well-established, but we argue that the explorative type is essential when approaching the problem of applicability and how it influences our conception of mathematics. The first part of the paper argues that a philosophical transformation made explorative mathematization possible. This transformation took place in early modernity when sense acquired partial independence from reference. The second part of the paper discusses a series of examples from the history of mathematics that highlight the complementary nature of the foundational and exploratory types of mathematization.
Erscheinungsjahr
2018
Zeitschriftentitel
Foundations of Science
Band
23
Ausgabe
4
Seite(n)
719-737
ISSN
1233-1821
Page URI
https://pub.uni-bielefeld.de/record/2915472

Zitieren

Lenhard J, Otte M. The Applicability of Mathematics as a Philosophical Problem. Mathematization as Exploration. Foundations of Science. 2018;23(4):719-737.
Lenhard, J., & Otte, M. (2018). The Applicability of Mathematics as a Philosophical Problem. Mathematization as Exploration. Foundations of Science, 23(4), 719-737. doi:10.1007/s10699-018-9546-2
Lenhard, J., and Otte, M. (2018). The Applicability of Mathematics as a Philosophical Problem. Mathematization as Exploration. Foundations of Science 23, 719-737.
Lenhard, J., & Otte, M., 2018. The Applicability of Mathematics as a Philosophical Problem. Mathematization as Exploration. Foundations of Science, 23(4), p 719-737.
J. Lenhard and M. Otte, “The Applicability of Mathematics as a Philosophical Problem. Mathematization as Exploration”, Foundations of Science, vol. 23, 2018, pp. 719-737.
Lenhard, J., Otte, M.: The Applicability of Mathematics as a Philosophical Problem. Mathematization as Exploration. Foundations of Science. 23, 719-737 (2018).
Lenhard, Johannes, and Otte, Michael. “The Applicability of Mathematics as a Philosophical Problem. Mathematization as Exploration”. Foundations of Science 23.4 (2018): 719-737.

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