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On Linear Existential Graphs
Logique et Analyse. 2020. No. 251. P. 261–296.
Peirce’s linear versions of the language of his Existential Graphs (EGs), presented in 1902, are examined. Differences between linear and non-linear languages are explained by permutational invariance and type- vs. occurrence-referentiality: Standard EGs are permutationally invariant with respect to linear EGs, while the Beta part of the system, which corresponds to first-order quantificational theory with identity, is occurrence-referential. However, occurrence-referentiality of Beta graphs constitutes a defect of expressivity: since the meaning of a quantifier is inextricably connected to the meaning of the sign of identity, certain complex assertions cannot be expressed in the language of Beta graphs without a new extension of its standard notation.
Keywords: Existential Graphs
Publication based on the results of:
Knorre B. K., Вестник Православного Свято-Тихоновского гуманитарного университета. Серия 1: Богословие. Философия. Религиоведение 2026 № 125 С. 53–69
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