A weaker condition for transitivity in probabilistic support

Authors
William Roche
Texas Christian University
Abstract
Probabilistic support is not transitive. There are cases in which x probabilistically supports y , i.e., Pr( y | x ) > Pr( y ), y , in turn, probabilistically supports z , and yet it is not the case that x probabilistically supports z . Tomoji Shogenji, though, establishes a condition for transitivity in probabilistic support, that is, a condition such that, for any x , y , and z , if Pr( y | x ) > Pr( y ), Pr( z | y ) > Pr( z ), and the condition in question is satisfied, then Pr( z | x ) > Pr( z ). I argue for a second and weaker condition for transitivity in probabilistic support. This condition, or the principle involving it, makes it easier (than does the condition Shogenji provides) to establish claims of probabilistic support, and has the potential to play an important role in at least some areas of philosophy
Keywords Probabilistic support  Shogenji  Transitivity
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DOI 10.1007/s13194-011-0033-7
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References found in this work BETA

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Citations of this work BETA

Dwindling Confirmation.William Roche & Tomoji Shogenji - 2014 - Philosophy of Science 81 (1):114-137.
Evidential Support, Transitivity, and Screening-Off.William Roche - 2015 - Review of Symbolic Logic 8 (4):785-806.

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