The paper distinguishes between two kinds of mathematics, natural mathematics which is a result of biological evolution and artificial mathematics which is a result of cultural evolution. On this basis, it outlines an approach to the philosophy of mathematics which involves a new treatment of the method of mathematics, the notion of demonstration, the questions of discovery and justification, the nature of mathematical objects, the character of mathematical definition, the role of intuition, the role of diagrams in mathematics, and the effectiveness of mathematics in natural science.

Philosophy of mathematics: making a fresh start / Cellucci, Carlo. - In: STUDIES IN HISTORY AND PHILOSOPHY OF SCIENCE. - ISSN 0039-3681. - STAMPA. - 44:(2013), pp. 32-42.

Philosophy of mathematics: making a fresh start

CELLUCCI, Carlo
2013

Abstract

The paper distinguishes between two kinds of mathematics, natural mathematics which is a result of biological evolution and artificial mathematics which is a result of cultural evolution. On this basis, it outlines an approach to the philosophy of mathematics which involves a new treatment of the method of mathematics, the notion of demonstration, the questions of discovery and justification, the nature of mathematical objects, the character of mathematical definition, the role of intuition, the role of diagrams in mathematics, and the effectiveness of mathematics in natural science.
2013
01 Pubblicazione su rivista::01a Articolo in rivista
Philosophy of mathematics: making a fresh start / Cellucci, Carlo. - In: STUDIES IN HISTORY AND PHILOSOPHY OF SCIENCE. - ISSN 0039-3681. - STAMPA. - 44:(2013), pp. 32-42.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/449166
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