Philosophical analysis of mathematical knowledge are commonly conducted within the realist/antirealist dichotomy. Nevertheless, philosophers working within this dichotomy pay little attention to the way in which mathematics evolves and structures itself. Focusing on mathematical practice, I propose a weak notion of objectivity of mathematical knowledge that preserves the intersubjective character of mathematical knowledge but does not bear on a view of mathematics as a body of mind-independent necessary truths. Furthermore, I show how that the successful application of mathematics in science is an important trigger for the objectivity of mathematical knowledge.

Daniele Molinini (2020). The Weak Objectivity of Mathematics and Its Reasonable Effectiveness in Science. AXIOMATHES, 30(2), 149-163 [10.1007/s10516-019-09449-8].

The Weak Objectivity of Mathematics and Its Reasonable Effectiveness in Science

Daniele Molinini
2020

Abstract

Philosophical analysis of mathematical knowledge are commonly conducted within the realist/antirealist dichotomy. Nevertheless, philosophers working within this dichotomy pay little attention to the way in which mathematics evolves and structures itself. Focusing on mathematical practice, I propose a weak notion of objectivity of mathematical knowledge that preserves the intersubjective character of mathematical knowledge but does not bear on a view of mathematics as a body of mind-independent necessary truths. Furthermore, I show how that the successful application of mathematics in science is an important trigger for the objectivity of mathematical knowledge.
2020
Daniele Molinini (2020). The Weak Objectivity of Mathematics and Its Reasonable Effectiveness in Science. AXIOMATHES, 30(2), 149-163 [10.1007/s10516-019-09449-8].
Daniele Molinini
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/897756
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