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== Philosophy of science == {{Main|Classification of the sciences (Peirce)}} Peirce outlined two fields, "Cenoscopy" and "Science of Review", both of which he called philosophy. Both included philosophy about science. In 1903 he arranged them, from more to less theoretically basic, thus:<ref name="phil"/> # Science of Discovery. ## Mathematics. ## Cenoscopy (philosophy as discussed earlier in this article β categorial, normative, metaphysical), as First Philosophy, concerns positive phenomena in general, does not rely on findings from special sciences, and includes the ''general'' study of inquiry and scientific method. ## Idioscopy, or the Special Sciences (of nature and mind). # Science of Review, as Ultimate Philosophy, arranges "... the results of discovery, beginning with digests, and going on to endeavor to form a philosophy of science". His examples included [[Alexander von Humboldt|Humboldt]]'s ''[[Alexander Von Humboldt#Cosmos|Cosmos]]'', [[Auguste Comte|Comte]]'s ''[[Course of Positive Philosophy|Philosophie positive]]'', and [[Herbert Spencer|Spencer]]'s ''Synthetic Philosophy''. # Practical Science, or the Arts. Peirce placed, within Science of Review, the work and theory of [[Classification of the sciences (Peirce)|classifying the sciences]] (including mathematics and philosophy). His classifications, on which he worked for many years, draw on argument and wide knowledge, and are of interest both as a map for navigating his philosophy and as an accomplished polymath's survey of research in his time.
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