The Philosophy of Notation: Operational Iconicity and Observational Advantages in Diagrams \; \;

\nLocation: Department of Philosophy and Communication\, University of Bologna\, Italy. \; \;

\nDates: 23-24 May 2019. \; \;

\nhttps://sites.google.com/view/philosophy-of-notation2019

\nWhat can we say is truly distinctive of diagrammatic notations for logical reasoning\, relative to equivalently expressive non-diagrammatic forms? Several responses have been given in the literature &ndash\; logical diagrams are visual (Shin 2002)\, they have multiple\, equivalent &ldquo\;readings&rdquo\; (Shin 2002\, Macbeth 2005\, Schlimm 2018)\, they are directly interpreted (Lemon 1996\, Stenning 2000) &ndash\; that have attempted to overcome the old difficulty of defining a logical diagram \; in terms of isomorphism\; but none seems to have gained universal acceptance.

\nAn idea has emerged in recent years that merits a deeper analysis. The idea is that diagrams in general and mathematical and logical diagrams in particular are languages whose formulas are capable of expressing *more information* (of whatever kind) than was necessary to construct the formula.This feature was called &ldquo\;autarchy&rdquo\; by Leibniz (he was thinking of the binary notation for arithmetic)\, and variants of it have been called &ldquo\;iconicity&rdquo\; (Peirce)\, &ldquo\;operational iconicity&rdquo\; (Stjernfelt)\, &ldquo\;free ride&rdquo\; (Shimojima) and &ldquo\;observational advantage&rdquo\; (Stapleton\, Jamnik &\; Shimojima). The idea is simple and intuitive\, but adequate analysis of it has not yet been made. \;

The aim of this workshop is to subject this idea to analysis by seeking contributions that explore the notions of operational iconicity and observational advantages from different perspectives: the formal semantics of diagrammatic languages\, the philosophy of language and logic\, studies on mathematical and logical cognition\, the philosophy of mathematical practice\, and the psychology of reasoning. We envision a multidisciplinary collaborative workshop that will enable us to identify common questions and goals\, and to share findings across these areas of research. \; The workshop will follow on from the success of the first &ldquo\;Philosophy of Notation&rdquo\; international conference in Tallinn\, 2015. \;

\nInvited Speakers

\nAmirouche Moktefi

\nAhti-Veikko Pietarinen

\nAtsushi Shimojima

\nGem Stapleton

\nFrederik Stjernfelt. \;

\nWe invite authors to submit a 500 word abstract to j.burton@brighton.ac.uk and __francesco.bellucci4@unibo.it __by the closing date of 15th February 2019. Abstracts will be reviewed by the Program Committee and feedback provided. Notification of acceptance will be given by the beginning of March 2019. (see the __Call for Papers__)

Registration is free -- email the organisers to let us know you are coming.

\nCo-chairs: \;

\nJim Burton\, University of Brighton

\nFrancesco Bellucci\, University of Bologna

\nProgram Committee:

\nDaniele Chiffi\, Polytechnic University of Milan\, Italy

\nAmirouche Moktefi\, Tallinn University of Technology\, Estonia

\nClaudio Paolucci\, University of Bologna\, Italy

\nAhti-Veikko Pietarinen\, Tallinn University of Technology\, Estonia

\nAtsushi Shimojima\, Doshisha University\, Japan

\nGem Stapleton\, University of Brighton\, UK

\nFrederik Stjernfelt\, Aalborg University\, Denmark

\nThis event is supported by UK Engineering and Physical Sciences Research Council under the project *The Applied Semiotics of Visual Modelling* (EP/R043949/1).