Experimentation
Experimentation is an improved form of trial and error. It uses better forms of keeping track of the process of the experiment. It uses more complex objects for the experiments. It studies more complex concepts than simple trial and error. Experimentation is the basis for much of awaretheory's predictions and principles. Guessing what will happen is what we do before we do an experiment. Each progressive experiment adds to our understanding and makes our guesses about what will happen more specific. The key to experimentation is the ability to replicate the experiment. If an experiment cannot be replicated or the results of the experiment cannot be replicated any predictions made have to be carefully disregarded until more information is developed explaining the varied results of the experiment.
Each experiment can be considered as an experipath. An experipath like a physipath which is not exactly duplicatable; it is in a different place and or time, and made of different matter. Because of this we can talk about the experivenue which is a concept based grouping of experipaths. The more that an experivenue points to a particular set of results the more likely the results can be trusted for organization into science.
Mathematical epistemology is the mathematical study of knowledge. Knowledge is created by logical rationalization of experimental results. Or simply put, the simplification of organization of experience. Mathematical epistemology thus studies among other things expericontinuums.