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  1. Solomonoff Prediction and Occam’s Razor.Tom F. Sterkenburg - 2016 - Philosophy of Science 83 (4):459-479.
    Algorithmic information theory gives an idealized notion of compressibility that is often presented as an objective measure of simplicity. It is suggested at times that Solomonoff prediction, or algorithmic information theory in a predictive setting, can deliver an argument to justify Occam’s razor. This article explicates the relevant argument and, by converting it into a Bayesian framework, reveals why it has no such justificatory force. The supposed simplicity concept is better perceived as a specific inductive assumption, the assumption of effectiveness. (...)
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  • (1 other version)A geo-logical solution to the lottery paradox, with applications to conditional logic.Hanti Lin & Kevin Kelly - 2012 - Synthese 186 (2):531-575.
    We defend a set of acceptance rules that avoids the lottery paradox, that is closed under classical entailment, and that accepts uncertain propositions without ad hoc restrictions. We show that the rules we recommend provide a semantics that validates exactly Adams’ conditional logic and are exactly the rules that preserve a natural, logical structure over probabilistic credal states that we call probalogic. To motivate probalogic, we first expand classical logic to geo-logic, which fills the entire unit cube, and then we (...)
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  • Ockham Efficiency Theorem for Stochastic Empirical Methods.Kevin T. Kelly & Conor Mayo-Wilson - 2010 - Journal of Philosophical Logic 39 (6):679-712.
    Ockham’s razor is the principle that, all other things being equal, scientists ought to prefer simpler theories. In recent years, philosophers have argued that simpler theories make better predictions, possess theoretical virtues like explanatory power, and have other pragmatic virtues like computational tractability. However, such arguments fail to explain how and why a preference for simplicity can help one find true theories in scientific inquiry, unless one already assumes that the truth is simple. One new solution to that problem is (...)
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  • How the Modalities Come into the World.Wolfgang Spohn - 2018 - Erkenntnis 83 (1):89-112.
    The modalities come into the world by being projections or objectivizations of our epistemic constitution. Thus this paper is a statement of Humean projectivism. In fact, it goes beyond Simon Blackburn’s version. It is also designed as a comprehensive counter-program to David Lewis’ program of Humean supervenience. In detail, the paper explains: Already the basic fact that the world is a world of states of affairs is due to the nature of our epistemic states. Objects, which figure in states of (...)
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  • A new solution to the puzzle of simplicity.Kevin T. Kelly - 2007 - Philosophy of Science 74 (5):561-573.
    Explaining the connection, if any, between simplicity and truth is among the deepest problems facing the philosophy of science, statistics, and machine learning. Say that an efficient truth finding method minimizes worst case costs en route to converging to the true answer to a theory choice problem. Let the costs considered include the number of times a false answer is selected, the number of times opinion is reversed, and the times at which the reversals occur. It is demonstrated that (1) (...)
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  • A simple model of scientific progress - with examples.Luigi Scorzato - 2016 - In Laura Felline, Antonio Ledd, Francesco Paoli & Emanuele Rossanese (eds.), SILFS 3 - New Directions in Logic and Philosophy of Science. College Publications. pp. 45-56.
    One of the main goals of scientific research is to provide a description of the empirical data which is as accurate and comprehensive as possible, while relying on as few and simple assumptions as possible. In this paper, I propose a definition of the notion of few and simple assumptions that is not affected by known problems. This leads to the introduction of a simple model of scientific progress that is based only on empirical accuracy and conciseness. An essential point (...)
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  • (1 other version)On the role of simplicity in science.Scorzato Luigi - 2013 - Synthese 190 (14):2867-2895.
    Simple assumptions represent a decisive reason to prefer one theory to another in everyday scientific praxis. But this praxis has little philosophical justification, since there exist many notions of simplicity, and those that can be defined precisely strongly depend on the language in which the theory is formulated. The language dependence is a natural feature—to some extent—but it is also believed to be a fatal problem, because, according to a common general argument, the simplicity of a theory is always trivial (...)
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