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By using the heuristic approach, this book argues that mathematics is not theorem provingby the axiomatic method, but is rather problem solving by the analytic method. The author argues that this view can account for the main items of the mathematical process, those being: mathematical objects, demonstrations, definitions, diagrams, notations, explanations, applicability, beauty, and the role of mathematical knowledge.
By using the heuristic approach, this book argues that mathematics is not theorem provingby the axiomatic method, but is rather problem solving by the analytic method. The author argues that this view can account for the main items of the mathematical process, those being: mathematical objects, demonstrations, definitions, diagrams, notations, explanations, applicability, beauty, and the role of mathematical knowledge.
Carlo Cellucci is emeritus professor of logic at Sapienza University of Rome. He is the author of seven books: Teoria della dimostrazione (Boringhieri, 1978); Le ragioni della logica (Laterza, 1998); Filosofia e matematica (Laterza, 2003); Perché ancora la filosofia (Laterza, 2008); Rethinking Logic: Logic in Relation to Mathematics, Evolution, and Method (Springer, 2013); Breve storia della logica: Dall'Umanesimo al primo Rinascimento (with Mirella Capozzi, Lulu Press, 2014); Rethinking Knowledge: The Heuristic View (Springer, 2017).
Provides an alternative to current philosophy of mathematics; heuristic philosophy of mathematics
Shows that mathematics is not merely theorem proving by the axiomatic method
Of interest to both graduate students and scholars working in philosophy of mathematics
Erscheinungsjahr: | 2023 |
---|---|
Genre: | Geisteswissenschaften, Kunst, Musik, Philosophie |
Rubrik: | Geisteswissenschaften |
Medium: | Taschenbuch |
Inhalt: |
xx
450 S. 1 s/w Illustr. 450 p. 1 illus. |
ISBN-13: | 9783030897338 |
ISBN-10: | 3030897338 |
Sprache: | Englisch |
Einband: | Kartoniert / Broschiert |
Autor: | Cellucci, Carlo |
Auflage: | 1st edition 2022 |
Hersteller: | Springer International Publishing |
Verantwortliche Person für die EU: | Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com |
Maße: | 235 x 155 x 26 mm |
Von/Mit: | Carlo Cellucci |
Erscheinungsdatum: | 09.03.2023 |
Gewicht: | 0,709 kg |
Carlo Cellucci is emeritus professor of logic at Sapienza University of Rome. He is the author of seven books: Teoria della dimostrazione (Boringhieri, 1978); Le ragioni della logica (Laterza, 1998); Filosofia e matematica (Laterza, 2003); Perché ancora la filosofia (Laterza, 2008); Rethinking Logic: Logic in Relation to Mathematics, Evolution, and Method (Springer, 2013); Breve storia della logica: Dall'Umanesimo al primo Rinascimento (with Mirella Capozzi, Lulu Press, 2014); Rethinking Knowledge: The Heuristic View (Springer, 2017).
Provides an alternative to current philosophy of mathematics; heuristic philosophy of mathematics
Shows that mathematics is not merely theorem proving by the axiomatic method
Of interest to both graduate students and scholars working in philosophy of mathematics
Erscheinungsjahr: | 2023 |
---|---|
Genre: | Geisteswissenschaften, Kunst, Musik, Philosophie |
Rubrik: | Geisteswissenschaften |
Medium: | Taschenbuch |
Inhalt: |
xx
450 S. 1 s/w Illustr. 450 p. 1 illus. |
ISBN-13: | 9783030897338 |
ISBN-10: | 3030897338 |
Sprache: | Englisch |
Einband: | Kartoniert / Broschiert |
Autor: | Cellucci, Carlo |
Auflage: | 1st edition 2022 |
Hersteller: | Springer International Publishing |
Verantwortliche Person für die EU: | Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com |
Maße: | 235 x 155 x 26 mm |
Von/Mit: | Carlo Cellucci |
Erscheinungsdatum: | 09.03.2023 |
Gewicht: | 0,709 kg |