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The Making of Mathematics

Heuristic Philosophy of Mathematics

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Focusing on the process of mathematical discovery, this work presents a heuristic philosophy of mathematics as an alternative to mainstream views that emphasize finished mathematics. It critiques the traditional belief that mathematics is solely about theorem proving through axiomatic methods, arguing that this perspective fails to encompass essential aspects of the discipline, particularly in light of Gödel's incompleteness theorems. The author advocates for a philosophy that embraces the dynamic and creative nature of mathematical practice.

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The Making of Mathematics, Carlo Cellucci

Sprache
Erscheinungsdatum
2023
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Untertitel
Heuristic Philosophy of Mathematics
Sprache
Englisch
Autor*innen
Carlo Cellucci
Erscheinungsdatum
2023
Einband
Paperback
Seitenzahl
472
ISBN13
9783030897338
Reihe
Bewertung
5 von 5 Sternen
Beschreibung
Focusing on the process of mathematical discovery, this work presents a heuristic philosophy of mathematics as an alternative to mainstream views that emphasize finished mathematics. It critiques the traditional belief that mathematics is solely about theorem proving through axiomatic methods, arguing that this perspective fails to encompass essential aspects of the discipline, particularly in light of Gödel's incompleteness theorems. The author advocates for a philosophy that embraces the dynamic and creative nature of mathematical practice.