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• Rawleigh (2022)  + (A central concept in scientonomy is the sc … A central concept in scientonomy is the scientific mosaic, a concept intended to capture the state of an agent’s scientific knowledge at a given point in time. The currently accepted definition of the mosaic, “a set of all epistemic elements accepted and/or employed by an epistemic agent”, is a syntactic definition that fails to provide a theoretically robust investigational framework that allows scientonomists to explore mosaics and their minutiae fully and fruitfully. Pressingly, this definition leaves open some troubling semantic questions about the nature of deducibility and meaning within scientonomy’s theoretical framework. This paper tackles these problems by proposing a semantic foundation for theoretical scientonomy rooted in explicitly set-theoretic concepts. It begins by examining a problem of semantic recursion through self-reference posed by the current definition and shows how the syntactic definition is fundamentally unable to overcome this problem. Instead, it proposes a semantic definition of mosaics which, while recursive, is not viciously or self-referentially recursive. It argues that by formalizing mosaics semantically as natural language models for scientific communities, scientonomy can overcome its semantic problems while also illuminating how truth-value assignment, inference, and the operation of higher-order laws work within theoretical scientonomy. To that end, it shows how a semantic definition can solve an outstanding problem with the third law having to do with the concept of deducibility.ng to do with the concept of deducibility.)

• Rawleigh (2022)  +