  In this paper, I aim to articulate and investigate the philosophical
implications and inherent symbolism surrounding the mathematical properties of
Ouroboros spaces and their respective functions. Initially, I provide a brief
historical background explaining how the symbol of the Ouroboros has been used
and how it continues to be used as a term in mathematics. I then describe the
philosophical symbolism and symbolic significance of the mathematical
properties of the Ouroboros spaces and their functions, while offering an
explanation as to why these concepts feel philosophically natural and
intuitive. Following this discussion, I prove an aesthetically significant
theorem that showcases the philosophical significance of the real Ouroboros
functions. In closing, I articulate the interrelated, philosophical nature of
these mathematical concepts, and describe how they impact other scientific
fields both practically and philosophically.
