By Sun-Joo Shin
On the sunrise of recent good judgment, Charles S. Peirce invented kinds of logical platforms, one symbolic and the opposite graphical. during this publication Sun-Joo Shin explores the philosophical roots of the start of Peirce's Existential Graphs in his concept of illustration and logical notation. Shin demonstrates that Peirce is the first thinker to put an exceptional philosophical beginning for multimodal illustration systems.Shin analyzes Peirce's recognized, yet much-criticized nonsymbolic illustration procedure. She offers a brand new method of his graphical procedure according to her discovery of its specified nature and on a reconstruction of Peirce's thought of illustration. through trying to comprehend graphical platforms on their very own phrases, she uncovers the explanations why graphical platforms, and Existential Graphs specifically, were underappreciated between logicians. Drawing on views from the philosophy of brain, cognitive technology, good judgment, and computing device technological know-how, Shin offers facts for a really interdisciplinary undertaking on multimodal reasoning.
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Extra info for The Iconic Logic of Peirce's Graphs
Sample text
These three branches, respectively, correspond to the syntax of a language, its semantics, and the inference rules of a system, as we understand them. Remarkably, Peirce’s concept of diagrammatization corresponds to our concept of formalization. 3, there is no theoretical reason why some kind of signs should have these three branches while some do not. Therefore, iconic diagrammatization, that is, iconic formalization, should be possible. 2. This is a hasty conclusion. I suggest that we improve iconic languages so that they maintain their strengths but rule out possible sources of fallacy.
81 That is, shading represents emptiness, and this representation is done by convention, not by resemblance. Hence, Venn diagrams are not purely iconic, but mix icons and symbols. According to contemporary terminology, Venn diagrams are an example of not a homogeneous, but a heterogeneous system. Does the mixture between different kinds of signs cause any problem? Not at all, according to Peirce. 83 Peirce, who has explored different kinds of signs, advocates more than one mode of representation in one and the same logical system; he favors a heterogeneous representation system over a homogenous system.
Zeman’s following explanation is the closest attempt to find iconicity in this logical notation, the cut: The cuts are discontinuities on the sheet of assertion, and they are meant by Peirce to correspond to discontinuities in reality. The non-existent, the unactualized, is in a definite sense discontinuous with the existent, the actual insofar as it is not part of the universe of existent individuals. 22 Assuming that there is no continuity between actual and non-actual reality, Zeman seems to think that Peirce chooses the cut to represent this discontinuity, by isolating non-actual propositions inside a cut.