We talk and think about our beliefs both in a categorical (yes/no)
and in a graded way. How do the two kinds of belief hang together?
The most straightforward answer is that we believe something
categorically if we believe it to a high enough degree. But this
seemingly obvious, near-platitudinous claim is known to give rise
to a paradox commonly known as the 'lottery paradox' - at least
when it is coupled with some further seeming near-platitudes about
belief. How to resolve that paradox has been a matter of intense
philosophical debate for over fifty years. This volume offers a
collection of newly commissioned essays on the subject, all of
which provide compelling reasons for rethinking many of the
fundamentals of the debate.
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