The Role of Existential Graphs in Peirce’s Philosophy
نویسندگان
چکیده
Nowadays, Peirce is mostly recognized as the founder of pragmatism and for his extensive theory of signs. Interestingly, in contrast to the contemporary estimation of his work, Peirce himself considered his system of existential graphs as the ‘luckiest find of my career’. This paper aims to clarify why Peirce placed his existential graphs into the very heart of his philosophy. Moreover, the design of the graphs as diagrammatic reasoning system, as well as the design of the transformation rules, can be explained with Peirce’s purpose in the development of his graphs. Diagrammatic reasoning is the only really fertile reasoning. If logicians would only embrace this method, we should no longer see attempts to base their science on the fragile foundations of metaphysics or a psychology not based on logical theory; and there would soon be such an advance in logic that every science would feel the benefit of it. Peirce, Prolegomena to an Apology For Pragmaticism, 1906
منابع مشابه
Fixing Shin's Reading Algorithm for Peirce's Existential Graphs
In her book “The Iconic Logic of Peirce’s Graphs”, S. J. Shin elaborates the diagrammatic logic of Peirce’s Existential Graphs. Particularly, she provides translations from Existential Graphs to first order logic. Unfortunately, her translation is not in all cases correct. In this paper, the translation is fixed by means of so-called single object ligatures.
متن کاملGilles Deleuze: Beyond Peirce’s Semiotics
This paper studies the role of the semiotic discussions of Charles Sanders Peirce, the American philosopher and mathematician, in the formation of Deleuze’s first leading book on cinema, Cinema 1: the Movement-Image,in whichthe author surpasses Peirce’s semiotics. We will show how Deleuze creates a new form of signs in his second leading book on cinema, Cinema 2: the Time-Image. Deleuze had tri...
متن کاملThe mathematics of Charles Sanders Peirce
This essay explores the Mathematics of Charles Sanders Peirce. We concentrate on his notational approaches to basic logic and his general ideas about Sign, Symbol and diagrammatic thought. In the course of this paper we discuss two notations of Peirce, one of Nicod and one of Spencer-Brown. Needless to say, a notation connotes an entire language and these contexts are elaborated herein. The fir...
متن کاملEquilibrium Graphs
In this paper we present an extension of Peirce’s existential graphs to provide a diagrammatic representation of expressions in Quantified Equilibrium Logic (QEL). Using this formalisation, logical connectives are replaced by encircled regions (circles and squares) and quantified variables are represented as “identity” lines. Although the expressive power is equivalent to that of QEL, the new r...
متن کاملA Peirce Style Calculus for ALC
Description logics (DLs) are a well-understood family of knowledge representation (KR) languages. The notation of DLs has the flavour of a variable-free first order predicate logic. In this paper, a diagrammatic representation of the DLALC, based on Peirce’s existential graphs, is presented, and a set of transformation rules on these graphs is provided. It is proven that these rules form a soun...
متن کامل