The Logic of Picturing: Wittgenstein, Sellars and Peirce’s EG-beta
2019
The semantics of picturing, broadly understood as an isomorphism between relevant relations among parts of a picture and relations constituting a state of affairs in some target domain, are a core feature of Wittgenstein’s Tractarian theory of representation. This theory was subsequently developed by Wilfrid Sellars into a rich theory of language and cognition. In this paper we show that by recasting the positive fragment (without negation) of C.S. Peirce’s beta level of Existential Graphs as a category of presheaves, the iconic coordination of syntax and semantics in the Wittgensteinian-Sellarsian picturing-relation may be represented formally in terms of the natural transformations in this category.
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