Diagrammatic algebra of first order logic

F Bonchi, A Di Giorgio, N Haydon… - arXiv preprint arXiv …, 2024 - arxiv.org
We introduce the calculus of neo-Peircean relations, a string diagrammatic extension of the
calculus of binary relations that has the same expressivity as first order logic and comes with …

Introduction to Volume 3/1: Pragmaticism

AV Pietarinen - Logic of the Future, 2024 - degruyter.com
This final volume of the three-volume, five-book edition of the Logic of the Future series on
Peirce's unpublished writings on Existential Graphs is divided into two parts, in which the …

A graphical deep inference system for intuitionistic logic

M Minghui, AV Pietarinen - Logique et Analyse, 2019 - poj.peeters-leuven.be
A graphical approach to intuitionistic propositional logic is presented. The system GrIn is a
deep inference system and it is formulated in terms of Peirce's existential graphs. GrIn is …

Why images cannot be arguments, but moving ones might

M Champagne, AV Pietarinen - Argumentation, 2020 - Springer
Some have suggested that images can be arguments. Images can certainly bolster the
acceptability of individual premises. We worry, though, that the static nature of images …

[图书][B] History and applications

AV Pietarinen - 2019 - books.google.com
In three comprehensive volumes, Logic of the Future presents a full panorama of Charles S.
Peirce's most important late writings. Among the most influential American thinkers, Peirce …

Assertive and existential graphs: A comparison

AV Pietarinen, D Chiffi - … Conference on Theory and Application of …, 2018 - Springer
Peirce's graphical logic of Existential Graphs (eg s) has no specific sign for assertion,
although the notion is used virtually everywhere in Peirce's logical theories. We outline the …

A weakening of alpha graphs: quasi-boolean algebras

M Ma, AV Pietarinen - International Conference on Theory and Application …, 2018 - Springer
Peirce introduced the Alpha part of the logic of Existential Graphs (eg s) as a diagrammatic
syntax and graphical system corresponding to classical propositional logic. The logic of …

On the logical philosophy of assertive graphs

D Chiffi, AV Pietarinen - Journal of Logic, Language and Information, 2020 - Springer
The logic of assertive graphs (AGs) is a modification of Peirce's logic of existential graphs
(EGs), which is intuitionistic and which takes assertions as its explicit object of study. In this …

Peirce's Dragon-Head Logic (R 501, 1901)

M Ma, AV Pietarinen - Archive for History of Exact Sciences, 2022 - Springer
Peirce wrote in late 1901 a text on formal logic using a special Dragon-Head and Dragon-
Tail notation in order to express the relation of logical consequence and its properties …

Peirce's Diagrammatic Reasoning and Abduction

AV Pietarinen - Handbook of Abductive Cognition, 2023 - Springer
The mainstay of Peirce's diagrammatic reasoning is deduction, for which he developed a
comprehensive family of graphical logics termed existential graphs. He thought, however …