This e-book consolidates and extends the authors' paintings at the connection among iconicity and abductive inference. It emphasizes a practical, experimental and fallibilist view of data with out sacrificing formal rigor. inside of this context, the ebook focuses really on medical wisdom and its established use of arithmetic. to discover a solution to the query "What form of experimental job is the clinical employment of mathematics?" the ebook addresses the issues curious about formalizing abductive cognition. For this, it implements the concept that and approach to iconicity, modeling this theoretical framework mathematically via type idea and topoi. Peirce's idea of iconic symptoms is handled intensive, and it's proven how Peirce's diagrammatic logical notation of Existential Graphs uses iconicity and the way very important good points of this iconicity are representable inside class idea. Alain Badiou's set-theoretical version of fact methods and his relational sheaf-based conception of phenomenology are then built-in in the Peircean logical context. ultimately, the publication opens the trail in the direction of a extra naturalist interpretation of the abductive versions built in Peirce and Badiou via an research of a number of fresh makes an attempt to reformulate quantum mechanics with express equipment. total, the ebook bargains a complete and rigorous evaluation of earlier ways to iconic semiotics and abduction, and it encompasses new extensions of those tools in the direction of an cutting edge naturalist interpretation of abductive reasoning.
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