Abstract
In Philosophy of Science, much has been said about the scientific method and its proceedings. While academic institutions tend to make every discovery a result of the strict application of the scientific method, some critiques argue that random processes or events contribute to scientific discoveries in a much larger degree than scientists may like to concede. Contending that it is well within the empirical research process once engaged that events of chance may intervene to contribute to positive outcome of the empirical research process is fair argument. Indeed without the substrate of empirical experimentation itself, there is no favorable circumstance for chance to bear fruit in discovery results. I will show in this study a mathematical foundation to the spectrum of core ideas in human knowledge and use mathematical categories to compare them to one another in terms of their ultra-structure, thereby revealing the unsuspected symmetry orders of their belonging.