In arriving at statements which hold for all possible experiencers and observers under all possible varying indi- vidual circumstances we arrive at that which is most remote from any one concrete experience. In this sense, the abstrac- tions of mathematics and physics represent the common de- nominators in all things experienceable. Taken by themselves they seem to present aca$ut mortuum. Erected into complete statements of reality as such, they become hallucinatory obses- sions. But in practice, there is always an accompanying reverse movement. These generalized findings are employed to enrich the meanings of individualized experiences, and to afford, within limits of probability, an increased control of them. It is in this sense that all reflective knowledge as such is instrumental. The beginning and the end is the things of gross everyday experience. But apart from knowledge the things of our ordinary experience are fragmentary, casual, unregulated by purpose, full of frustrations and barriers. In the language previously used, they are problematic, obstructive, and chal- lenges to thought. By ignoring for atime their concrete and qualitative fullness, by making abstractions and generalizations, we ascertain certain basic relations upon which occurrence of the things experienced depend. We treat them as mere events,
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