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  1. The Applicability of Mathematics to Physical Modality.Nora Berenstain - 2017 - Synthese 194 (9):3361-3377.
    This paper argues that scientific realism commits us to a metaphysical determination relation between the mathematical entities that are indispensible to scientific explanation and the modal structure of the empirical phenomena those entities explain. The argument presupposes that scientific realism commits us to the indispensability argument. The viewpresented here is that the indispensability of mathematics commits us not only to the existence of mathematical structures and entities but to a metaphysical determination relation between those entities and the modal structure of (...)
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  • Information Theory, Evolutionary Computation, and Dembski’s “Complex Specified Information”.Wesley Elsberry & Jeffrey Shallit - 2011 - Synthese 178 (2):237 - 270.
    Intelligent design advocate William Dembski has introduced a measure of information called "complex specified information", or CSI. He claims that CSI is a reliable marker of design by intelligent agents. He puts forth a "Law of Conservation of Information" which states that chance and natural laws are incapable of generating CSI. In particular, CSI cannot be generated by evolutionary computation. Dembski asserts that CSI is present in intelligent causes and in the flagellum of Escherichia coli, and concludes that neither have (...)
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  • Is the Enhanced Indispensability Argument a Useful Tool in the Hands of Platonists?Vladimir Drekalović - 2019 - Philosophia 47 (4):1111-1126.
    Platonists in mathematics endeavour to prove the truthfulness of the proposal about the existence of mathematical objects. However, there have not been many explicit proofs of this proposal. One of the explicit ones is doubtlessly Baker’s Enhanced Indispensability Argument, formulated as a sort of modal syllogism. We aim at showing that the purpose of its creation – the defence of Platonist viewpoint – was not accomplished. Namely, the second premise of the Argument was imprecisely formulated, which gave space for various (...)
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  • Can We Have Mathematical Understanding of Physical Phenomena?Gabriel Târziu - 2018 - Theoria : An International Journal for Theory, History and Fundations of Science 33 (1):91-109.
    Can mathematics contribute to our understanding of physical phenomena? One way to try to answer this question is by getting involved in the recent philosophical dispute about the existence of mathematical explanations of physical phenomena. If there is such a thing, given the relation between explanation and understanding, we can say that there is an affirmative answer to our question. But what if we do not agree that mathematics can play an explanatory role in science? Can we still consider that (...)
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  • Two Weak Points of the Enhanced Indispensability Argument – Domain of the Argument and Definition of Indispensability.Vladimir Drekalović - 2016 - Organon F: Medzinárodný Časopis Pre Analytickú Filozofiu 23 (3):280-298.
    The contemporary Platonists in the philosophy of mathematics argue that mathematical objects exist. One of the arguments by which they support this standpoint is the so-called Enhanced Indispensability Argument (EIA). This paper aims at pointing out the difficulties inherent to the EIA. The first is contained in the vague formulation of the Argument, which is the reason why not even an approximate scope of the set objects whose existence is stated by the Argument can be established. The second problem is (...)
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  • Magicicada, Mathematical Explanation and Mathematical Realism.Davide Rizza - 2011 - Erkenntnis 74 (1):101-114.
    Baker claims to provide an example of mathematical explanation of an empirical phenomenon which leads to ontological commitment to mathematical objects. This is meant to show that the positing of mathematical entities is necessary for satisfactory scientific explanations and thus that the application of mathematics to science can be used, at least in some cases, to support mathematical realism. In this paper I show that the example of explanation Baker considers can actually be given without postulating mathematical objects and thus (...)
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  • Conceptual Analysis and Natural Kinds: The Case of Knowledge.Joachim Horvath - 2016 - Synthese 193 (1):167-184.
    There is a line of reasoning in metaepistemology that is congenial to naturalism and hard to resist, yet ultimately misguided: that knowledge might be a natural kind, and that this would undermine the use of conceptual analysis in the theory of knowledge. In this paper, I first bring out various problems with Hilary Kornblith’s argument from the causal–explanatory indispensability of knowledge to the natural kindhood of knowledge. I then criticize the argument from the natural kindhood of knowledge against the method (...)
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  • Information Theory, Evolutionary Computation, and Dembski’s “Complex Specified Information”.Wesley Elsberry & Jeffrey Shallit - 2011 - Synthese 178 (2):237-270.