Note: I wrote this paper for FS 201, my probability theory seminar at Allegheny College, and typeset it in LaTeX. Because the math deserves its real formatting, it lives as a PDF.
Abstract
The Sleeping Beauty Problem is a puzzle that has been stumping philosophers and mathematicians for decades. The complexities lie in the fact the problem itself covers topics like decision theory, epistemology, self vs nonself-locating information, indifference principles and many more. In this article, I will give a brief introduction to the problem itself, why it is so complex, and the various arguments mathematicians and philosophers alike have tried to use to come to a conclusion.