Chapter

Philosophy of Inductive Logic: The Bayesian Perspective

Sandy Zabell

in The Development of Modern Logic

Published in print June 2009 | ISBN: 9780195137316
Published online September 2009 | e-ISBN: 9780199867912 | DOI: http://dx.doi.org/10.1093/acprof:oso/9780195137316.003.0044
 Philosophy of Inductive Logic: The Bayesian Perspective

Show Summary Details

Preview

This chapter describes the logic of inductive inference as seen through the eyes of the modern theory of personal probability, including a number of its recent refinements and extensions. The structure of the chapter is as follows. After a brief discussion of mathematical probability, to establish notation and terminology, it recounts the gradual evolution of the probabilistic explication of induction from Bayes to the present. The focus is not in this history per se (fascinating as it is), but in its use to highlight the key assumptions, criticisms, refinements, and achievements of that theory. Along the way, the structure of the modern theory is presented, and its relation to the problem of induction discussed.

Keywords: inductive inference; personal probability; Bayes; logic; induction; modern theory

Chapter.  24215 words. 

Subjects: Philosophy of Mathematics and Logic

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.