A weaker condition for transitivity in probabilistic support

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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References found in this work BETA
Fred I. Dretske (1970). Epistemic Operators. Journal of Philosophy 67 (24):1007-1023.

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Tomoji Shogenji (2003). A Condition for Transitivity in Probabilistic Support. British Journal for the Philosophy of Science 54 (4):613-616.
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