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  1. A Stochastic Model of Mathematics and Science.David H. Wolpert & David B. Kinney - 2024 - Foundations of Physics 54 (2):1-67.
    We introduce a framework that can be used to model both mathematics and human reasoning about mathematics. This framework involves stochastic mathematical systems (SMSs), which are stochastic processes that generate pairs of questions and associated answers (with no explicit referents). We use the SMS framework to define normative conditions for mathematical reasoning, by defining a “calibration” relation between a pair of SMSs. The first SMS is the human reasoner, and the second is an “oracle” SMS that can be interpreted as (...)
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  • What Kind of Explanations Do We Get from Agent-Based Models of Scientific Inquiry?Dunja Šešelja - 2022 - In Tomas Marvan, Hanne Andersen, Hasok Chang, Benedikt Löwe & Ivo Pezlar (eds.), Proceedings of the 16th International Congress of Logic, Methodology and Philosophy of Science and Technology. London: College Publications.
    Agent-based modelling has become a well-established method in social epistemology and philosophy of science but the question of what kind of explanations these models provide remains largely open. This paper is dedicated to this issue. It starts by distinguishing between real-world phenomena, real-world possibilities, and logical possibilities as different kinds of targets which agent-based models can represent. I argue that models representing the former two kinds provide how-actually explanations or causal how-possibly explanations. In contrast, models that represent logical possibilities provide (...)
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  • Social and cognitive diversity in science: introduction.Samuli Reijula, Jaakko Kuorikoski, Inkeri Koskinen & Kristina Rolin - 2023 - Synthese 202 (2):1-10.
    In this introduction to the Topical Collection on Social and Cognitive Diversity in Science, we map the questions that have guided social epistemological approaches to diversity in science. Both social and cognitive diversity of different types is claimed to be epistemically beneficial. The challenge is to understand how an increase in a group’s diversity can bring about epistemic benefits and whether there are limits beyond which diversity can no longer improve a group’s epistemic performance. The contributions to the Topical Collection (...)
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  • Highly idealized models of scientific inquiry as conceptual systems.Renne Pesonen - 2024 - European Journal for Philosophy of Science 14 (3):1-22.
    The social epistemology of science has adopted agent-based computer simulations as one of its core methods for investigating the dynamics of scientific inquiry. The epistemic status of these highly idealized models is currently under active debate in which they are often associated either with predictive or the argumentative functions. These two functions roughly correspond to interpreting simulations as virtual experiments or formalized thought experiments, respectively. This paper advances the argumentative account of modeling by proposing that models serve as a means (...)
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