Peirce’s 1870 “Logic of Relatives” • Discussion 5

Re: Conceptual GraphsPeiyuan Zhu

PZ:
I’m studying imprecise probabilities which initially works as an extension in Boole’s Laws of Thoughts.  It seems like Boole was solving a set of algebraic equations for probabilities where some of the probabilities do not have precise values therefore need to be bounded.  Has anyone studied Boole’s algebraic system of probabilities?  Is Peirce extending Boole’s algebraic system in his Logic of Relatives?

Dear Peiyuan,

Issues related to the ones you mention will come up in the Selections and Commentary I’m posting on Peirce’s 1870 Logic of Relatives, the full title of which, “Description of a Notation for the Logic of Relatives, Resulting from an Amplification of the Conceptions of Boole’s Calculus of Logic”, is sufficient hint of the author’s intent, namely, to extend the correspondence Boole discovered between the calculus of propositions and the statistics of simple events to a correspondence between the calculus of relations and the statistics of complex events, contingency matrices, higher order correlations, and ultimately the full range of information theory.

But it will take a while to develop all that …

Regards,
Jon

Resources

cc: Conceptual GraphsCyberneticsOntolog Forum
cc: Peirce (1) (2)Structural ModelingSystems Science
cc: FB | Peirce MattersLaws of Form

This entry was posted in C.S. Peirce, Category Theory, Differential Logic, Duality, Dyadic Relations, Graph Theory, Group Theory, Logic, Logic of Relatives, Logical Graphs, Logical Matrices, Mathematics, Peirce, Peirce's Categories, Predicate Calculus, Propositional Calculus, Relation Theory, Semiotics, Sign Relations, Teridentity, Triadic Relations, Visualization and tagged , , , , , , , , , , , , , , , , , , , , , . Bookmark the permalink.

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