Introduction
This post is intended as a contribution to the (already admittedly very large) corpus of discussion surrounding the Sleeping Beauty paradox. The statement of the paradox (which I will simply refer to here as the Paradox) itself is assumed to be known, as it is widely available on the internet, including on this site.
When I first learned of the Paradox, I was an intuitive one halfer. This post is meant to describe the reasoning path that led me to becoming a one thirder.
Specifically, for reasons I will further detail below, I believe that much of the confusion on the resolution of the Paradox stems from a failure to differentiate between two clearly... (read 1337 more words →)
All right - but here the evidence predicted would simply be "the coin landed on heads", no? I don't really the contradiction between what you're saying and conventional probability theory (more or less all which was developped with the specific idea of making predictions, winning games etc.) Yes I agree that saying "the coin landed on heads with probability 1/3" is a somewhat strange way of putting things (the coin either did or did not land on heads) but it's a shorthand for a conceptual framework that has firmly simple and sound foundations.