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\begin{document}

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\section*{Charles Sanders Peirce}

\hypertarget{contents}{}\section*{{Contents}}\label{contents}

\noindent\hyperlink{existential_graphs}{Existential graphs}\dotfill \pageref*{existential_graphs} \linebreak
\noindent\hyperlink{references}{References}\dotfill \pageref*{references} \linebreak


Charles Sanders Peirce (1839-1914), a philosopher, logician and scientist, was one of the founders of modern symbolic [[logic]]. In particular, he developed a form of [[predicate logic]]. Peirce is seen as the father of pragmatism, although he later distanced himself from other American philosophers who identified them as pragmatists, by adopting the term \emph{pragmaticism}.

Peirce was a prolific thinker who left behind an enormous corpus of work, much unpublished. Where his \emph{Collected Papers} run to 8 volumes, an ongoing edition aims to publish 30 volumes.

Peirce's philosophy may be seen as Schellingism transformed in light of (in Peirce's time) modern physics, as Peirce himself notes in an 1894 letter to William James:

\begin{quote}%
My views were probably influenced by [[Schelling]] - by all stages of Schelling, but especially the \emph{Philosophie der Natur}. I consider Schelling as enormous, and one thing I admire about him is his freedom from the trammels of system, and his holding himself uncommitted to any previous utterance. in that, he is like a scientific man. If you were to call my philosophy Schellingism transformed in the light of modern physics, I should not take it hard.


\end{quote}
\hypertarget{existential_graphs}{}\subsection*{{Existential graphs}}\label{existential_graphs}

Peirce devised a graphical notation, known as \textbf{existential graphs}, to represent logical calculi. There were three systems of such graphs: the system \emph{alpha}, to represent [[propositional logic]], the system \emph{beta}, to represent [[predicate logic]], and the system \emph{gamma}, to represent [[modal logic]] (\hyperlink{MaPiet18}{MaPiet 18}).

[[Geraldine Brady]] and [[Todd Trimble]] have given a category theoretic interpretation of the alpha and beta systems. The latter, a form of [[string diagram|string diagrammatic]] notation, was developed (\hyperlink{PontoShul}{PontoShul}) into a [[string diagram]] notation for [[indexed monoidal categories]]. A development also appears in \hyperlink{MellZeil}{MellZeil}, see also \hyperlink{BSS18}{BSS18}.

\hypertarget{references}{}\subsection*{{References}}\label{references}

Stanford Encyclopedia of Philosophy entries:

\begin{itemize}%
\item \href{https://plato.stanford.edu/entries/peirce/}{Charles Sanders Peirce}
\item \href{https://plato.stanford.edu/entries/peirce-logic/}{Peirce's Deductive Logic}
\item \href{https://plato.stanford.edu/entries/peirce-semiotics/}{Peirce's Theory of Signs}
\item \href{https://plato.stanford.edu/entries/peirce/self-contextualization.html}{Peirce's View of the Relationship Between His Own Work and German Idealism}
\item \href{https://plato.stanford.edu/entries/abduction/peirce.html}{Peirce on Abduction}

\end{itemize}
Charles S. Peirce studies

\begin{itemize}%
\item \href{http://www.peirce.org/}{website}

\end{itemize}
Other references

\begin{itemize}%
\item [[Geraldine Brady]] and [[Todd Trimble]] (2000a). A Categorical Interpretation of C. S. Peirce's Propositional Logic Alpha. Journal of Pure and Applied Algebra 149 (2000): 213-239, (\href{https://core.ac.uk/download/pdf/82545173.pdf}{pdf})


\item [[Geraldine Brady]] and [[Todd Trimble]] (2000b). \emph{[[A string diagram calculus for predicate logic|A String Diagram Calculus for Predicate Logic and C. S. Peirce's System Beta]]}, preprint


\item [[Kate Ponto]] and [[Mike Shulman]], Duality and traces in indexed monoidal categories, (\href{http://www.sandiego.edu/~shulman/papers/indexed-color.pdf}{web})



\end{itemize}
\begin{itemize}%
\item [[Fernando Zalamea]] (2012), Peirce's Logic of Continuity: A Conceptual and Mathematical Approach


\item Frederik Stjernfelt (2014), Natural Propositions: The Actuality of Peirce's Doctrine of Dicisigns


\item Rosa Maria Perez-Teran Mayorga (2008), From Realism to `Realicism': The Metaphysics of Charles Sanders Peirce


\item Andrew Reynolds (2002), Peirce's Scientific Metaphysics: The Philosophy of Chance, Law, and Evolution


\item Matthew Moore (ed) (2010), New Essays on Peirce's Mathematical Philosophy


\item [[Louis Kauffman]] (2001), \href{http://homepages.math.uic.edu/~kauffman/CHK.pdf}{The Mathematics of Charles Sanders Peirce}


\item C.S. Peirce \& Matthew Moore (ed) (2010), Philosophy of Mathematics: Selected Writings


\item [[Paul-André Melliès]] and [[Noam Zeilberger]] (2016) \emph{A bifibrational reconstruction of Lawvere's presheaf hyperdoctrine}, (\href{http://arxiv.org/abs/1601.06098}{arXiv:1601.06098, cs.LO})


\item Fernando Zalamea, Peirce's logic of continuity, a conceptual and mathematical approach, \href{https://www.academia.edu/31948393/ZalameaPeirceCont.pdf}{link}


\item Minghui Ma, Ahti-Veikko Pietarinen (2018), \emph{Gamma graph calculi for modal logics}, Synthese 195: 3621, (\href{https://doi.org/10.1007/s11229-017-1390-3}{doi})


\item Filippo Bonchi, Jens Seeber, Pawel Sobocinski, \emph{Graphical Conjunctive Queries}, (\href{https://arxiv.org/abs/1804.07626}{arXiv:1804.07626})



\end{itemize}
[[!redirects C.S. Peirce]] [[!redirects Charles Peirce]] [[!redirects Charles S. Peirce]] [[!redirects Peirce]]

category: people, philosophy



\end{document}