Date of Award


Degree Type

Master's Essay - Restricted

Degree Name

Master of Science (MS)


Mathematical and Statistical Sciences


Mathematics and Philosophy have always influenced each other. Both the stream of philosophical speculation and that of mathematics, or more properly mathematical abstraction, may be viewed as independent curves on a coordinate axis with time as an abscissa. The curves may have points of intersection and collinearity as well as many independent subdivisions. At the junctures,, Mathematics and Philosophy cooperate in the explanation of the principles underlying each and give birth to a theory of the universe. They are different modalities of the same branch of knowledge. At other points, where the curves are independent, Philosophy and Mathematics are separate and individual. The region between the curves forms a bridge between the disciplines without binding them. The bridge is the philosophy of Mathematics, sequestered deep below the surface of applied mathematics and beneath the seemingly perfect numerical relationships and logically sound theorems.