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Logic will here be defined as ''formal semiotic''.  A definition of a sign will be given which no more refers to human thought than does the definition of a line as the place which a particle occupies, part by part, during a lapse of time.  Namely, a sign is something, ''A'', which brings something, ''B'', its ''interpretant'' sign determined or created by it, into the same sort of correspondence with something, ''C'', its ''object'', as that in which itself stands to ''C''.  It is from this definition, together with a definition of "formal", that I deduce mathematically the principles of logic.  I also make a historical review of all the definitions and conceptions of logic, and show, not merely that my definition is no novelty, but that my non-psychological conception of logic has ''virtually'' been quite generally held, though not generally recognized.  (C.S. Peirce, NEM 4, 20–21).

Logic will here be defined as ''formal semiotic''.  A definition of a sign will be given which no more refers to human thought than does the definition of a line as the place which a particle occupies, part by part, during a lapse of time.  Namely, a sign is something, ''A'', which brings something, ''B'', its ''interpretant'' sign determined or created by it, into the same sort of correspondence with something, ''C'', its ''object'', as that in which itself stands to ''C''.  It is from this definition, together with a definition of "formal", that I deduce mathematically the principles of logic.  I also make a historical review of all the definitions and conceptions of logic, and show, not merely that my definition is no novelty, but that my non-psychological conception of logic has ''virtually'' been quite generally held, though not generally recognized.  (C.S. Peirce, NEM 4, 20&ndash;21).

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