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Philosophy of Mathematics - (De Gruyter Stem) by Thomas Bedürftig & Roman Murawski (Paperback)

Philosophy of Mathematics - (De Gruyter Stem) by  Thomas Bedürftig & Roman Murawski (Paperback) - 1 of 1
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About this item

Highlights

  • The present book is an introduction to the philosophy of mathematics.
  • About the Author: Thomas Bedürftig, University of Hannover; Roman Murawski, AMU, Poznań, Polen.
  • 474 Pages
  • Mathematics, History & Philosophy
  • Series Name: de Gruyter Stem

Description



About the Book



This work is an introduction to the philosophical problems and underpinnings of mathematical thinking, teaching, and learning. It includes thematic and philosophical problems and questions, a historical summary that covers contemporary currents, and



Book Synopsis



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.

  • Reports on historical conceptions.
  • Thinking about today's mathematical doing and thinking.
  • Recent developments.
  • Based on the third, revised German edition.
  • For mathematicians - students, teachers, researchers and lecturers - and readersinterested in mathematics and philosophy.

Contents
On the way to the reals
On the history of the philosophy of mathematics
On fundamental questions of the philosophy of mathematics
Sets and set theories
Axiomatic approach and logic
Thinking and calculating infinitesimally - First nonstandard steps
Retrospection



About the Author



Thomas Bedürftig, University of Hannover; Roman Murawski, AMU, Poznań, Polen.

Dimensions (Overall): 9.4 Inches (H) x 6.5 Inches (W) x 1.0 Inches (D)
Weight: 1.95 Pounds
Suggested Age: 22 Years and Up
Number of Pages: 474
Genre: Mathematics
Sub-Genre: History & Philosophy
Series Title: De Gruyter Stem
Publisher: De Gruyter
Format: Paperback
Author: Thomas Bedürftig & Roman Murawski
Language: English
Street Date: October 26, 2018
TCIN: 1004604346
UPC: 9783110468304
Item Number (DPCI): 247-43-4211
Origin: Made in the USA or Imported
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Shipping details

Estimated ship dimensions: 1 inches length x 6.5 inches width x 9.4 inches height
Estimated ship weight: 1.95 pounds
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