C. I. Lewis (I883-I964) was the first major figure in history and philosophy of logic—-a field that has come to be recognized as a separate specialty after years of work by Ivor Grattan-Guinness and others (Dawson 2003, 257).Lewis was among the earliest to accept the challenges offered by this field; he was the first who had the philosophical and mathematical talent, the philosophical, logical, and historical background, and the patience and dedication to objectivity needed to excel. He was blessed with (...) many fortunate circumstances, not least of which was entering the field when mathematical logic, after only six decades of toil, had just reaped one of its most important harvests with publication of the monumental Principia Mathematica. It was a time of joyful optimism which demanded an historical account and a sober philosophical critique. Lewis was one of the first to apply to mathematical logic the Aristotelian dictum that we do not understand a living institution until we see it growing from its birth. (shrink)

In 1951 C.I.Lewis published a logic of general terms that he called the calculus of predicates. Although this system is of less significance than Lewis’s earlier work on proposition...

This paper proposes the “conceptual pragmatism” of C. I. Lewis as a useful epistemological orientation for studying the relationship between the social and individual registers, in particular as it is set out in Bourdieu’s sociology of practice. Bourdieu’s concepts of habits based upon ‘social schematism’ and of culture as a ‘second nature,’ as well as Lewis’ conception of logical schemas constructed by humans are all formulated in the wake of Kant, and mediating between sensorial experience and the conceptual level is (...) a common issue for Lewis and the French sociologist. This paper discusses Lewis’ controversial idea of “sense meaning” in order to show his commitment to a pragmatic, interactive theory of knowledge and language. Moreover, I emphasize Lewis’ intertwining of conceptual schemas, actions, and reality as a theoretical network for reshaping analysis of the relationship between sociality and individuality according to a pragmatist perspective, and for implementing and improving Lewis’ commitment to observing, describing, and interpreting the effective functioning of conceptual schemas, one that includes an option in favor of an externalist philosophical methodology which, in principle, tallies with the methodological attitude that mostly characterizes the contemporary social sciences. (shrink)

Quine has argued that modal logic began with the sin of confusing use and mention. Anderson and Belnap, on the other hand, have offered us a way out through a strategy of nominahzation. This paper reviews the history of Lewis's early work in modal logic, and then proves some results about the system in which "A is necessary" is intepreted as "A is a classical tautology.".

The work of Hugh MacColl (1837–1909) suffered the same fate after his death as before it:despite being vaguely alluded to and in part even commended, on the whole it has remained an unknown quantity. Even worse, those of his ideas which have played a decisive role in the history of logic have been credited to his successors; this is especially the case with the definition of strict implication and the first formal development of formal modal logic. This paper takes an (...) initial step towards a rectification of this unfortunate misrepresentation, presenting a bibliography of MacColl’s most significant publications with particular regard to their reception. (shrink)

Koopman’s book revolves around the notion of transition, which he proposes is one of the central ideas of the pragmatist tradition but one which had not previously been fully articulated yet nevertheless shapes the pragmatist attitude in philosophy. Transition, according to Koopman, denotes “those temporal structures and historical shapes in virtue of which we get from here to there”. One of the consequences of transitionalism is the understanding of critique and inquiry as historical pro...

t is often suggested that truth-preservation is insufficient for logical consequence, and that consequence needs to satisfy a further condition of relevance. Premises and conclusion in a valid consequence must be relevant to one another, and truth-preservation is too coarse-grained a notion to guarantee that. Thus logical consequence is the intersection of truth-preservation and relevance. This situation has the absurd consequence that one might concede that the conclusion of an argument was true (since the argument had true premises and was (...) truth-preserving); yet should refuse to infer the conclusion from the premises, in the absence of demonstration of the relevance of the premises to the conclusion. The error lies in giving insufficient attention to the notion of truth-preservation. Relevance is no separable ingredient in the analysis of logical consequence, but a necessary condition of it. What we show is that if an argument really is truth-preserving, then that in itself is enough to show that the premises are (logically) relevant to the conclusion. (shrink)