Abstract
• We consider infinite-depth Peirce’s α -Existential Graphs. • A generic-figure approach is used to represent α -Existential Graphs in a categorical framework. • We apply the notion of grossone in order to establish well-defined valuations in the category of α -Existential Graphs. We present here an approach to the analysis of the truth values of Peirce’s α -graphs without the restriction of finite number of elements (cuts and characters) on the Sheet of Assertion. We show that the ensuing structure in which such graphs are objects constitutes a topos . While the computation of the truth value of a graph in the topos can be an infinite process, we show that using the concept of grossone (①) the subobject classifier of the topos allows to determine a truth value for each graph.
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