From Dedekind to Gödel
Subtitle: Essays on the Development of the Foundations of Mathematics (Synthese Library)
Edition: 1 edition
Publisher: Springer
Published: November 30, 1995
Language: eng
Format: Hardcover
Number of pages: 488
ISBN-13: 9780792334842
Subjects: History of mathematics; Philosophy; Philosophy Of Mathematics; Mathematics; Science/Mathematics; History & Philosophy; History & Surveys - Modern; Logic; Mathematics / History; Philosophy / Logic; Philosophy-History & Surveys - Modern; Philosophy-Logic; Foundations
Description: Discussions of the foundations of mathematics and their history are frequently restricted to logical issues in a narrow sense, or else to traditional problems of analytic philosophy. From Dedekind to Godel: Essays on the Development of the Foundations of Mathematics illustrates the much greater variety of the actual developments in the foundations during the period covered.

The viewpoints that serve this purpose included the foundational ideas of working mathematicians, such as Kronecker, Dedekind, Borel and the early Hilbert, and the development of notions like model and modelling, arbitrary function, completeness, and non-Archimedean structures. The philosophers discussed include not only the household names in logic, but also Husserl, Wittgenstein and Ramsay.

Needless to say, such logically-oriented thinkers as Frege, Russell and Godel are not entirely neglected, either. Everybody interested in the philosophy and/or history of mathematics will find this book interesting, giving frequently novel insights.