The centering inference - p & q, therefore if p then q - is
important in reasoning research because it is logically valid
for some accounts of conditionals (e. g. the material and the
probability conditionals), but not for others (e. g. the
inferential conditional, according to which a conditional is
true if and only if there is an inferential connection between p
and q). We tested participants' acceptance of centering
compared to valid and invalid inferences not containing
conditionals, varying the presence of an inferential connection
and of a common topic of discourse between p and q.
Participants' acceptance of centering was more similar to
valid inferences than to invalid inferences, and there was no
reliable effect of a connection between p and q. Acceptance
rates were higher when there was a common topic of
discourse, independently of the type of inference. The
findings support the probability conditional account.