Visualization, Explanation and Reasoning Styles in Mathematics

Lingua: inglese

Editore: Springer, Springer Okt 2010, 2010

9048168376 / 9789048168378

Serie: Libro 34 di 304 - Synthese Library

Da: buchversandmimpf2000, Emtmannsberg, BAYE, Germaniabuchversandmimpf2000

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This item is printed on demand - Print on Demand Titel. Neuware -In the 20th century philosophy of mathematics has to a great extent been dominated by views developed during the so-called foundational crisis in the beginning of that century. These views have primarily focused on questions pertaining to the logical structure of mathematics and questions regarding the justi cation and consistency of mathematics. Paradigmatic in this - spect is Hilbert¿s program which inherits from Frege and Russell the project to formalize all areas of ordinary mathematics and then adds the requi- ment of a proof, by epistemically privileged means ( nitistic reasoning), of the consistency of such formalized theories. While interest in modi ed v- sions of the original foundational programs is still thriving, in the second part of the twentieth century several philosophers and historians of mat- matics have questioned whether such foundational programs could exhaust the realm of important philosophical problems to be raised about the nature of mathematics. Some have done so in open confrontation (and hostility) to the logically based analysis of mathematics which characterized the cl- sical foundational programs, while others (and many of the contributors to this book belong to this tradition) have only called for an extension of the range of questions and problems that should be raised in connection with an understanding of mathematics. The focus has turned thus to a consideration of what mathematicians are actually doing when they produce mathematics. Questions concerning concept-formation, understanding, heuristics, changes instyle of reasoning, the role of analogies and diagrams etc.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 324 pp. Englisch.…

Codice articolo 9789048168378

Titolo
Visualization, Explanation and Reasoning Styles in Mathematics
Autore
P. Mancosu
Editore
Springer, Springer Okt 2010
Anno di pubblicazione
2010
Condizione
Neu
Rilegatura
Taschenbuch
Lingua
inglese
ISBN 10
9048168376
ISBN 13
9789048168378
Peso dell'articolo
520 grammi
Dimensioni
240x160x18 mm
Serie
Libro 34 di 304: Synthese Library

buchversandmimpf2000

Emtmannsberg, BAYE, Germania

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