"History and Philosophy of Modern Mathematics " was first
published in 1988. Minnesota Archive Editions uses digital
technology to make long-unavailable books once again accessible,
and are published unaltered from the original University of
Minnesota Press editions.
The fourteen essays in this volume build on the pioneering
effort of Garrett Birkhoff, professor of mathematics at Harvard
University, who in 1974 organized a conference of mathematicians
and historians of modern mathematics to examine how the two
disciplines approach the history of mathematics. In "History and
Philosophy of Modern Mathematics," William Aspray and Philip
Kitcher bring together distinguished scholars from mathematics,
history, and philosophy to assess the current state of the field.
Their essays, which grow out of a 1985 conference at the University
of Minnesota, develop the basic premise that mathematical thought
needs to be studied from an interdisciplinary perspective.
The opening essays study issues arising within logic and the
foundations of mathematics, a traditional area of interest to
historians and philosophers. The second section examines issues in
the history of mathematics within the framework of established
historical periods and questions. Next come case studies that
illustrate the power of an interdisciplinary approach to the study
of mathematics. The collection closes with a look at mathematics
from a sociohistorical perspective, including the way institutions
affect what constitutes mathematical knowledge.
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