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The Second Graphical Calculus of Relations - Peirce's Existential Graphs

Topos Institute via YouTube

Overview

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Explore C.S. Peirce's Existential Graphs as a foundational precursor to modern string diagrams in this 52-minute Oxford Seminar presentation. Examine the philosophical and mathematical assumptions that drove Peirce to develop his graphical calculus of relations, understanding how this revolutionary approach to logical representation emerged from his broader semiotic framework. Discover the structural similarities between Peirce's existential graphs and contemporary string diagram notation used in category theory and categorical logic. Learn how Peirce's innovative graphical methods for representing logical relationships have directly influenced recent developments in categorical logic, providing historical context for modern diagrammatic reasoning techniques. Gain insights into the evolution of visual approaches to logic and mathematics, tracing the intellectual lineage from 19th-century pragmatist philosophy to cutting-edge categorical methods in computer science and mathematics.

Syllabus

[Oxford Seminar] Nathan Haydon | Peirce’s Existential Graphs

Taught by

Topos Institute

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