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Mathematical models and reality: A constructivist perspective [Book Review]

Christian Hennig

Foundations of Science 15 (1):29-48 (2010)

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Understanding scientific study via process modeling.Robert W. P. Luk - 2010 - Foundations of Science 15 (1):49-78.details This paper argues that scientific studies distinguish themselves from other studies by a combination of their processes, their (knowledge) elements and the roles of these elements. This is supported by constructing a process model. An illustrative example based on Newtonian mechanics shows how scientific knowledge is structured according to the process model. To distinguish scientific studies from research and scientific research, two additional process models are built for such processes. We apply these process models: (1) to argue that scientific progress (...) Download Export citation Bookmark 13 citations
Wigner’s Puzzle on Applicability of Mathematics: On What Table to Assemble It?Cătălin Bărboianu - 2020 - Axiomathes 30 (4):423-452.details Attempts at solving what has been labeled as Eugene Wigner’s puzzle of applicability of mathematics are still far from arriving at an acceptable solution. The accounts developed to explain the “miracle” of applied mathematics vary in nature, foundation, and solution, from denying the existence of a genuine problem to designing structural theories based on mathematical formalism. Despite this variation, all investigations treated the problem in a unitary way with respect to the target, pointing to one or two ‘why’ or ‘how’ (...) Download Export citation Bookmark
Should causal models always be Markovian? The case of multi-causal forks in medicine.Donald Gillies & Aidan Sudbury - 2013 - European Journal for Philosophy of Science 3 (3):275-308.details The development of causal modelling since the 1950s has been accompanied by a number of controversies, the most striking of which concerns the Markov condition. Reichenbach's conjunctive forks did satisfy the Markov condition, while Salmon's interactive forks did not. Subsequently some experts in the field have argued that adequate causal models should always satisfy the Markov condition, while others have claimed that non-Markovian causal models are needed in some cases. This paper argues for the second position by considering the multi-causal (...) Download Export citation Bookmark
Wigner’s Puzzle on Applicability of Mathematics: On What Table to Assemble It?Cătălin Bărboianu - 2019 - Axiomathes 1:1-30.details Attempts at solving what has been labeled as Eugene Wigner’s puzzle of applicability of mathematics are still far from arriving at an acceptable solution. The accounts developed to explain the “miracle” of applied mathematics vary in nature, foundation, and solution, from denying the existence of a genuine problem to designing structural theories based on mathematical formalism. Despite this variation, all investigations treated the problem in a unitary way with respect to the target, pointing to one or two ‘why’ or ‘how’ (...) Download Export citation Bookmark
Social Construction, Mathematics, and the Collective Imposition of Function onto Reality.Julian C. Cole - 2015 - Erkenntnis 80 (6):1101-1124.details Stereotypes of social construction suggest that the existence of social constructs is accidental and that such constructs have arbitrary and subjective features. In this paper, I explore a conception of social construction according to which it consists in the collective imposition of function onto reality and show that, according to this conception, these stereotypes are incorrect. In particular, I argue that the collective imposition of function onto reality is typically non-accidental and that the products of such imposition frequently have non-arbitrary (...) Download Export citation Bookmark 12 citations
Is the New Monetary Consensus Still Alive? A Critical Economic and Philosophical Appraisal.Marc Pilkington - 2021 - Revue de Philosophie Économique 21 (2):7-49.details Dans cet article, nous proposons une analyse critique du nouveau consensus monétaire (NMC) d’un point de vue méthodologique, afin d’évaluer sa pertinence. Bien que les mantras du consensus ne soient pas contestables en tant que tels, nous soutenons l’idée que les fondements méthodologiques du NMC expliquent son échec paradigmatique à prévoir la crise financière de 2008, et à constituer une source d’inspiration fiable pour les politiques post-crise 2008. Nous mettons particulièrement l’accent sur la nature problématique des modèles pré-crise 2008. Nous (...) Download Export citation Bookmark
A theory of scientific study.Robert W. P. Luk - 2017 - Foundations of Science 22 (1):11-38.details This paper presents a theory of scientific study which is regarded as a social learning process of scientific knowledge creation, revision, application, monitoring and dissemination with the aim of securing good quality, general, objective, testable and complete scientific knowledge of the domain. The theory stipulates the aim of scientific study that forms the basis of its principles. It also makes seven assumptions about scientific study and defines the major participating entities. It extends a recent process model of scientific study into (...) Download Export citation Bookmark 14 citations

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