Description
Most scholars think of David Hilbert's program as the most demanding and ideologically motivated attempt to provide a foundation for mathematics, and because they see technical obstacles in the way of realizing the program's goals, they regard it as a failure. Against this view, Curtis Franks argues that Hilbert's deepest and most central insight was that mathematical techniques and practices do not need grounding in any philosophical principles. He weaves together an original historical account, philosophical analysis, and his own development of the meta-mathematics of weak systems of arithmetic to show that the true philosophical significance of Hilbert's program is that it makes the autonomy of mathematics evident. The result is a vision of the early history of modern logic that highlights the rich interaction between its conceptual problems and technical development.
This study reconstructs, analyses and re-evaluates the programme of influential mathematical thinker David Hilbert, presenting it in a different light.
About the Author
Curtis Franks is Assistant Professor in the Department of Philosophy, The University of Notre Dame.
Reviews
Review of the hardback: 'Franks' book is remarkable for the clarity of the prose and the originality of the arguments. It is a beautiful introduction to Hilbert's thought on the nature of mathematics and a natural extension of his work.' Jeffrey Barrett, University of California, Irvine
'This short but inspiring book questions the received view of Hilbert's contribution to the foundations of mathematics, and offers a newly clarified position within the philosophical attitude known as naturalism, especially of the (fiercely) anti-foundationalist persuasion ... this is without a doubt one of the most thoughtful as well as one of the most beautifully written books on the philosophy of mathematics to have been published in recent memory.' Juliette Kennedy, Bulletin of Symbolic Logic
Book Information
ISBN 9780521514378
Author Curtis Franks
Format Hardback
Page Count 228
Imprint Cambridge University Press
Publisher Cambridge University Press
Weight(grams) 500g
Dimensions(mm) 235mm * 158mm * 17mm
This study reconstructs, analyses and re-evaluates the programme of influential mathematical thinker David Hilbert, presenting it in a different light.
About the Author
Curtis Franks is Assistant Professor in the Department of Philosophy, The University of Notre Dame.
Reviews
Review of the hardback: 'Franks' book is remarkable for the clarity of the prose and the originality of the arguments. It is a beautiful introduction to Hilbert's thought on the nature of mathematics and a natural extension of his work.' Jeffrey Barrett, University of California, Irvine
'This short but inspiring book questions the received view of Hilbert's contribution to the foundations of mathematics, and offers a newly clarified position within the philosophical attitude known as naturalism, especially of the (fiercely) anti-foundationalist persuasion ... this is without a doubt one of the most thoughtful as well as one of the most beautifully written books on the philosophy of mathematics to have been published in recent memory.' Juliette Kennedy, Bulletin of Symbolic Logic
Book Information
ISBN 9780521514378
Author Curtis Franks
Format Hardback
Page Count 228
Imprint Cambridge University Press
Publisher Cambridge University Press
Weight(grams) 500g
Dimensions(mm) 235mm * 158mm * 17mm
