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A fundamental reason for using formal methods in the philosophy of science is the desirability of having a fixed frame of reference that may be used to organize the variety of doctrines at hand. This book - distinguished philosopher Patrick Suppes's groundbreaking and essential text - examines how set-theoretical methods provide such a framework, covering issues of axiomatic method, representation, invariance, probability, mechanics and language, including research on brain-wave representations of words and sentences.