Model Theory And The Philosophy Of Mathematical Practice: Formalization Without Foundationalism
by John T. Baldwin /
2018 / English / PDF
4.7 MB Download
Major shifts in the field of model theory in the twentieth century
have seen the development of new tools, methods, and motivations
for mathematicians and philosophers. In this book, John T. Baldwin
places the revolution in its historical context from the ancient
Greeks to the last century, argues for local rather than global
foundations for mathematics, and provides philosophical viewpoints
on the importance of modern model theory for both understanding and
undertaking mathematical practice. The volume also addresses the
impact of model theory on contemporary algebraic geometry, number
theory, combinatorics, and differential equations. This
comprehensive and detailed book will interest logicians and
mathematicians as well as those working on the history and
philosophy of mathematics.
Major shifts in the field of model theory in the twentieth century
have seen the development of new tools, methods, and motivations
for mathematicians and philosophers. In this book, John T. Baldwin
places the revolution in its historical context from the ancient
Greeks to the last century, argues for local rather than global
foundations for mathematics, and provides philosophical viewpoints
on the importance of modern model theory for both understanding and
undertaking mathematical practice. The volume also addresses the
impact of model theory on contemporary algebraic geometry, number
theory, combinatorics, and differential equations. This
comprehensive and detailed book will interest logicians and
mathematicians as well as those working on the history and
philosophy of mathematics.
