A Semantic Analysis of Inference Involving Venn Diagrams

Sun-Joo Shin

My thesis, Valid Reasoning and Visual Representation (1991), challenges general prejudice ag ainst visualization in the history of logic and mathematics by providing a semantic analysis of two graphical representation systems -- a traditional Venn diagram representation system and an extension of it. I present these two diagrammatic systems as standard formal representation systems equipped with their own syntax and semantics. I also show that these two systems are sound and complete. In the following, I lay out an outline of the thesis.

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