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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

Taal
Jaar van publicatie
2023
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Ondertitel
Heuristic Philosophy of Mathematics
Taal
Engels
Jaar van publicatie
2023
Formaat
Paperback
Aantal pagina's
472
ISBN13
9783030897338
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Beoordeling
5 van 5
Aantekening
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.