Chapter

The Incommensurability of Inductive Support and Mathematical Probability

L. Jonathan Cohen

in The Probable and The Provable

Published in print December 1977 | ISBN: 9780198244127
Published online October 2011 | e-ISBN: 9780191680748 | DOI: http://dx.doi.org/10.1093/acprof:oso/9780198244127.003.0016

Series: Clarendon Library of Logic and Philosophy

The Incommensurability of Inductive Support and Mathematical Probability

Show Summary Details

Preview

This chapter provides an elaboration on the incommensurability of inductive support and mathematical probability. It begins by presenting the argument from the possibility of anomalies. If inductive support-grading is to allow for the existence of anomalies, it cannot depend on the mathematical probabilities involved. A second argument for the incommensurability of inductive support with mathematical probability may be built up on the basis of the conjunction principle for inductive support. If s[H,E] conforms to this principle, the actual value of pM[H] must be irrelevant to that of s[H,E] unless intolerable constraints are to restrict the mathematical probability of one conjunct on another. Since the actual value of pM[E,H] must also be irrelevant to that of s[H,E], and s[H,E] cannot possibly be a function of pM[E] alone, it follows that s[H,E] cannot be a function of the mathematical probabilities involved.

Keywords: inductive support; mathematical probability; incommensurability; inductive support-grading; conjunction principle

Chapter.  4212 words. 

Subjects: Metaphysics

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.