Philosophy of Mathematics Contributor(s): Bedürftig, Thomas (Author), Murawski, Roman (Author) |
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ISBN: 3110468301 ISBN-13: 9783110468304 Publisher: de Gruyter OUR PRICE: $72.89 Product Type: Paperback - Other Formats Published: October 2018 |
Additional Information |
BISAC Categories: - Mathematics | History & Philosophy - Mathematics | Logic - Philosophy | Epistemology |
Dewey: 510.1 |
Series: de Gruyter Stem |
Physical Information: 0.96" H x 6.69" W x 9.61" (1.66 lbs) 474 pages |
Descriptions, Reviews, Etc. |
Publisher Description: The present book is an introduction to the philosophy of mathematics. It asks philosophical questions concerning fundamental concepts, constructions and methods - this is done from the standpoint of mathematical research and teaching. It looks for answers both in mathematics and in the philosophy of mathematics from their beginnings till today. The reference point of the considerations is the introducing of the reals in the 19th century that marked an epochal turn in the foundations of mathematics. In the book problems connected with the concept of a number, with the infinity, the continuum and the infinitely small, with the applicability of mathematics as well as with sets, logic, provability and truth and with the axiomatic approach to mathematics are considered. In Chapter 6 the meaning of infinitesimals to mathematics and to the elements of analysis is presented. The authors of the present book are mathematicians. Their aim is to introduce mathematicians and teachers of mathematics as well as students into the philosophy of mathematics. The book is suitable also for professional philosophers as well as for students of philosophy, just because it approaches philosophy from the side of mathematics. The knowledge of mathematics needed to understand the text is elementary.
Contents |
Contributor Bio(s): Bedurftig, Thomas: - Thomas Bedürftig, University of Hannover; Roman Murawski, AMU, Poznań, Polen. |