# Talk: Javier Legris (Buenos Aires)

Location: Ludwigstr. 31, ground floor, Room 021.

06.02.2020 16:00 – 18:00

## Title:

Charles S. Pierce as mathematical philosopher: the case of the Existential Graphs

## Abstract:

The aim of this presentation is to relate the philosophy of Charles S. Peirce (1839-1914) to the current idea of mathematical philosophy (at least in some aspects). In this sense Peirce could be seen as a forerunner of this idea. At many opportunities he expressed his aim at an exact or scientific philosophy, where problems should be treated as mathematically as possible. The “pragmatic maxim” and his theory of signs were two main bases of his thinking. Now, Peirce argued for a particular conception of mathematics where the special kind of signs called icons played an essential role. In this talk I will discuss the case of his diagrammatic system, the Existential Graphs, as a mathematical philosophical reconstruction of deductive logic. Moreover, I will focus on the way the notion of identity is formulated in the “Beta Graphs” and to show some problems arising from it.