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Visualization, Explanation and Reasoning Styles in Mathematics
. Ed(S): Mancosu, Paolo; Jorgensen, Klaus Frovin; Pedersen, Stig Andur
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Description for Visualization, Explanation and Reasoning Styles in Mathematics
Hardback. Contains contributions to the philosophical analysis of mathematical practice. The historians and philosophers in this book agree that there is more to understanding mathematics than a study of its logical structure. How are mathematical objects and concepts generated? How does the process tie up with justification? Editor(s): Mancosu, Paolo; Jorgensen, Klaus Frovin; Pedersen, Stig Andur. Series: Synthese Library. Num Pages: 300 pages, biography. BIC Classification: PBB. Category: (P) Professional & Vocational. Dimension: 232 x 156 x 19. Weight in Grams: 620.
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 ... Read more
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 ... Read more
Product Details
Format
Hardback
Publication date
2005
Publisher
Springer-Verlag New York Inc. United States
Number of pages
300
Condition
New
Series
Synthese Library
Number of Pages
300
Place of Publication
New York, NY, United States
ISBN
9781402033346
SKU
V9781402033346
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
Reviews for Visualization, Explanation and Reasoning Styles in Mathematics
From the reviews: "As its title suggests, the book deals with themes that are of great interest to mathematics educators. … this book is a collection of excellent papers by distinguished authors. It also shows a high standard of book production, in its layout, paper quality, draftsmanship and binding. … this book deserves the attention ... Read more