Chapter

‘A New Species of Logic’

Colin Howson

in Hume's Problem

Published in print November 2000 | ISBN: 9780198250371
Published online November 2003 | e-ISBN: 9780191597749 | DOI: http://dx.doi.org/10.1093/0198250371.003.0008
 ‘A New Species of Logic’

Show Summary Details

Preview

This is the central chapter of the book. It contains an extended argument to show that in formal probability theory we have an authentic logic of uncertain inference, of the same species as deductive logic. A soundness and completeness theorem is given for this logic, akin to the soundness and completeness theorems of deductive logic. The logical view of probability was propounded by Leibniz in the seventeenth century, and revived in the twentieth century by Keynes, Carnap, and Ramsey. It is Ramsey's view, that the rules of probability are consistency constraints, that is upheld.

Keywords: Carnap; completeness; consistency; Keynes; Leibniz; logic; probability; Ramsey; semantic; trees; soundness

Chapter.  19619 words.  Illustrated.

Subjects: Philosophy of Science

Full text: subscription required

How to subscribe Recommend to my Librarian

Buy this work at Oxford University Press »

Users without a subscription are not able to see the full content. Please, subscribe or login to access all content.