Definition of "logicism" [logicism]

• The doctrine that mathematics is a branch of logic in that some or all mathematics is reducible to logic. (noun)

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• "The rejoinder to this is that the similarity that Frascolla, Black and Savitt recognize does not make Wittgenstein's theory a “kind of logicism” in Frege's or Russell's sense, because Wittgenstein does not define numbers “logically” in either Frege's way or Russell's way, and the similarity (or analogy) between tautologies and true mathematical equations is neither an identity nor a relation of reducibility."
• "“the philosophy of arithmetic of the Tractatus ¦ as a kind of logicism” (Frascolla, 1994, 37)."
• "This attitude allowed him to accommodate various ideas coming from rival foundational directions, that is, logicism, formalism and intuitionism."