Stern, Julio Michael (2011) Constructive Verification, Empirical Induction, and Falibilist Deduction: A Threefold Contrast. Information, 2 (4). pp. 635-650. ISSN 2078-2489
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Abstract
This article explores some open questions related to the problem of verification of theories in the context of empirical sciences by contrasting three epistemological frameworks. Each of these epistemological frameworks is based on a corresponding central metaphor, namely: (a) Neo empiricism and the gambling metaphor; (b) Popperian falsificationism and the scientific tribunal metaphor; (c) Cognitive constructivism and the object as eigen-solution metaphor. Each of one of these epistemological frameworks has also historically co-evolved with a certain statistical theory and method for testing scientific hypotheses, respectively: (a) Decision theoretic Bayesian statistics and Bayes factors; (b) Frequentist statistics and p-values; (c) Constructive Bayesian statistics and e-values. This article examines with special care the Zero Probability Paradox (ZPP), related to the verification of sharp or precise hypotheses. Finally, this article makes some remarks on Lakatos' view of mathematics as a quasi-empirical science.
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| Item Type: | Published Article or Volume | ||||||
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| Keywords: | Bayesian statistics; cognitive constructivism; eigen-solutions; Imre Lakatos; neo-empiricism; Popperian falsificationism; sharp hypotheses; zero probability paradox. | ||||||
| Subjects: | General Issues > Scientific Metaphysics General Issues > Confirmation/Induction General Issues > Evidence General Issues > Explanation Specific Sciences > Probability/Statistics General Issues > Structure of Theories |
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| Depositing User: | Prof. Julio Michael Stern | ||||||
| Date Deposited: | 26 Mar 2023 18:24 | ||||||
| Last Modified: | 26 Mar 2023 18:24 | ||||||
| Item ID: | 21923 | ||||||
| Journal or Publication Title: | Information | ||||||
| Official URL: | http://doi.org/10.3390/info2040635 | ||||||
| DOI or Unique Handle: | 10.3390/info2040635 | ||||||
| Subjects: | General Issues > Scientific Metaphysics General Issues > Confirmation/Induction General Issues > Evidence General Issues > Explanation Specific Sciences > Probability/Statistics General Issues > Structure of Theories |
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| Date: | 2011 | ||||||
| Page Range: | pp. 635-650 | ||||||
| Volume: | 2 | ||||||
| Number: | 4 | ||||||
| ISSN: | 2078-2489 | ||||||
| URI: | https://philsci-archive.pitt.edu/id/eprint/21923 |
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