The autonomy of mathematical knowledge : Hilbert's program revisited / Curtis Franks.

By:

Franks, Curtis

Material type: Text

text

Media type:

computer

Carrier type:

online resource

ISBN:

9780511639050
0511639058
9780511641497
0511641494
9780511636608
0511636601
9780521183895
0521183898
9780511642098
0511642091
1107190142
9781107190146
1282386417
9781282386419
0511640811
9780511640810
9786612386411
661238641X
0511637985
9780511637988
0511640137
9780511640131

Subject(s):

Genre/Form:

Electronic books.

Additional physical formats: Print version:: Autonomy of mathematical knowledge.DDC classification:

510.1

LOC classification:

QA8.4 .F73 2009

Online resources:

Click here to access online

Contents:

A new science -- David Hilbert's naturalism -- Arithmetization -- Intensionality -- Intrepreting Gödel's secind incompleteness theorem for Q -- Autonomy in context.

Summary: 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.

Item type:

Tags from this library: No tags from this library for this title. Log in to add tags.

Average rating: 0.0 (0 votes)

Holdings
Item type	Home library	Collection	Call number	Materials specified	Status	Date due	Barcode
Electronic-Books	OPJGU Sonepat- Campus	E-Books EBSCO			Available

Includes bibliographical references (pages 200-208) and index.

Print version record.

A new science -- David Hilbert's naturalism -- Arithmetization -- Intensionality -- Intrepreting Gödel's secind incompleteness theorem for Q -- Autonomy in context.

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.

English.

eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - Worldwide

There are no comments on this title.

to post a comment.