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Bedürftig, Thomas / Murawski, Roman

Philosophy of Mathematics

Series:De Gruyter STEM

    69,95 € / $80.99 / £63.50*

    Paperback
    Publication Date:
    October 2018
    ISBN
    978-3-11-046830-4
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    Overview

  • Based on the third, revised German edition.
  • Includes recent developments.
  • For students, instructors and all readers interested in mathematics and philosophy.
  • Aims and Scope

    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

    Details

    24.0 x 17.0 cm
    xv, 459 pages
    24 Fig.
    Language:
    English
    Type of Publication:
    Professional Book
    Keyword(s):

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

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