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Added by: Jamie Collin
Summary: Surveys the opposition between views of mathematics which take mathematics to represent a independent mathematical reality and views which take mathematical axioms to define or circumscribe their subject matter; and defends the latter view against influential objections.Leng, Mary. Mathematics and Reality2010, Oxford University Press, USA.-
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Added by: Jamie Collin
Publisher's Note: Mary Leng offers a defense of mathematical fictionalism, according to which we have no reason to believe that there are any mathematical objects. Perhaps the most pressing challenge to mathematical fictionalism is the indispensability argument for the truth of our mathematical theories (and therefore for the existence of the mathematical objects posited by those theories). According to this argument, if we have reason to believe anything, we have reason to believe that the claims of our best empirical theories are (at least approximately) true. But since claims whose truth would require the existence of mathematical objects are indispensable in formulating our best empirical theories, it follows that we have good reason to believe in the mathematical objects posited by those mathematical theories used in empirical science, and therefore to believe that the mathematical theories utilized in empirical science are true. Previous responses to the indispensability argument have focussed on arguing that mathematical assumptions can be dispensed with in formulating our empirical theories. Leng, by contrast, offers an account of the role of mathematics in empirical science according to which the successful use of mathematics in formulating our empirical theories need not rely on the truth of the mathematics utilized.Comment: This book presents the most developed account of mathematical fictionalism. The book, or chapters from it, would provide useful further reading in advanced undergraduate or postgraduate courses on metaphysics or philosophy of mathematics.
Douglas, Heather. Inductive Risk and Values in Science2000, Philosophy of Science 67(4): 559-579.-
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Added by: Nick Novelli
Abstract: Although epistemic values have become widely accepted as part of scientific reasoning, non-epistemic values have been largely relegated to the "external" parts of science (the selection of hypotheses, restrictions on methodologies, and the use of scientific technologies). I argue that because of inductive risk, or the risk of error, non-epistemic values are required in science wherever non-epistemic consequences of error should be considered. I use examples from dioxin studies to illustrate how non-epistemic consequences of error can and should be considered in the internal stages of science: choice of methodology, characterization of data, and interpretation of results.Comment: A good challenge to the "value-free" status of science, interrogating some of the assumptions about scientific methodology. Uses real-world examples effectively. Suitable for undergraduate teaching.
Franklin, L. R.. Exploratory Experiments2005, Philosophy of Science 72(5): 888-899.-
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Added by: Nick Novelli
Abstract: Philosophers of experiment have acknowledged that experiments are often more than mere hypothesis-tests, once thought to be an experiment's exclusive calling. Drawing on examples from contemporary biology, I make an additional amendment to our understanding of experiment by examining the way that `wide' instrumentation can, for reasons of efficiency, lead scientists away from traditional hypothesis-directed methods of experimentation and towards exploratory methods.Comment: Good exploration of the role of experiments, challenging the idea that they are solely useful for testing clearly defined hypotheses. Uses many practical examples, but is very concise and clear. Suitable for undergraduate teaching in an examination of scientific methods in a philosophy of science course.
Alexandrova, Anna. Making Models Count2008, Philosophy of Science 75(3): 383-404.-
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Added by: Nick Novelli
Abstract: What sort of claims do scientific models make and how do these claims then underwrite empirical successes such as explanations and reliable policy interventions? In this paper I propose answers to these questions for the class of models used throughout the social and biological sciences, namely idealized deductive ones with a causal interpretation. I argue that the two main existing accounts misrepresent how these models are actually used, and propose a new account.
Comment: A good exploration of the role of models in scientific practice. Provides a good overview of the main theories about models, and some objections to them, before suggesting an alternative. Good use of concrete examples, presented very clearly. Suitable for undergraduate teaching. Would form a useful part of an examination of modelling in philosophy of science.
Thalos, Mariam. Nonreductive physics2006, Synthese 149(1): 133-178.-
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Added by: Nick Novelli
Abstract: This paper documents a wide range of nonreductive scientific treatments of phenomena in the domain of physics. These treatments strongly resist characterization as explanations of macrobehavior exclusively in terms of behavior of microconstituents. For they are treatments in which macroquantities are cast in the role of genuine and irreducible degrees of freedom.Comment: A good argument against reduction, grounded in scientific practice. Would be useful in a philosophy of science or a metaphysics context to explore and challenge the idea of reduction. Does a good job of explaining some fairly technical concepts as clearly as possible, but still best suited to graduate or upper-level undergraduate teaching.
Thalos, Mariam. Explanation is a genus: An essay on the varieties of scientific explanation2002, Synthese 130(3): 317-354.-
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Added by: Nick Novelli
Abstract: I shall endeavor to show that every physical theory since Newton explainswithout drawing attention to causes-that, in other words, physical theories as physical theories aspire to explain under an ideal quite distinctfrom that of causal explanation. If I am right, then even if sometimes theexplanations achieved by a physical theory are not in violation ofthe standard of causal explanation, this is purely an accident. For physicaltheories, as I will show, do not, as such, aim at accommodating the goals oraspirations of causal explanation. This will serve as the founding insightfor a new theory of explanation, which will itself serve as the cornerstoneof a new theory of scientific method.Comment: A striking argument that science does not employ causal explanations. Since this is a commonly-held assumption, this would be interesting to present in the context of scientific methodology, or in an exploration of causation as part of a challenge to whether the idea of causation is actually useful or necessary. Provides good historical context to support its claims. Best taught at an advanced or graduate level.
Thalos, Mariam. A modest proposal for interpreting structural explanations1998, British Journal for the Philosophy of Science 49(2): 279-295.-
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Added by: Nick Novelli
Abstract: Social sciences face a well-known problem, which is an instance of a general problem faced as well by psychological and biological sciences: the problem of establishing their legitimate existence alongside physics. This, as will become clear, is a problem in metaphysics. I will show how a new account of structural explanations, put forward by Frank Jackson and Philip Pettit, which is designed to solve this metaphysical problem with social sciences in mind, fails to treat the problem in any importantly new way. Then I will propose a more modest approach, and show how it does not deserve the criticism directed at a prototype by Jackson and PettitComment: An interesting argument for the value of structual explanations in sociology. Useful in the context of a discussion of reductionism or of the proper classification of social sciences as real science.
Spencer, Quayshawn. Do Newton’s Rules of Reasoning Guarantee Truth … Must They?2004, Studies in History and Philosophy of Science 35(4): 759-782.-
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Added by: Nick Novelli
Abstract: Newton's Principia introduces four rules of reasoning for natural philosophy. Although useful, there is a concern about whether Newton's rules guarantee truth. After redirecting the discussion from truth to validity, I show that these rules are valid insofar as they fulfill Goodman's criteria for inductive rules and Newton's own methodological program of experimental philosophy; provided that cross-checks are used prior to applications of rule 4 and immediately after applications of rule 2 the following activities are pursued: (1) research addressing observations that systematically deviate from theoretical idealizations and (2) applications of theory that safeguard ongoing research from proceeding down a garden path.Comment: A good examination of the relationship of scientific practices to truth, put in a historical context. Would be useful in a history and philosophy of science course.
Harp, Randall, Kareem Khalifa. Why Pursue Unification? A Social-Epistemological Puzzle2015, Theoria. An International Journal for Theory, History and Foundations of Science 30(3): 431-447.-
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Added by: Nick Novelli
Abstract: Many have argued that unified theories ought to be pursued wherever possible. We deny this on the basis of social-epistemological and game-theoretic considerations. Consequently, those seeking a more ubiquitous role for unification must either attend to the scientific community's social structure in greater detail than has been the case, and/or radically revise their conception of unification.Comment: An interesting argument about how scientific practice influences the rationality of theory choice. Would be suited to any course where these issues are discussed.
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Leng, Mary. “Algebraic” Approaches to Mathematics
2009, In Otávio Bueno & Øystein Linnebo (eds.). New Waves in Philosophy of Mathematics. Palgrave Macmillan.
Comment: A very clear and useful survey text for advanced undergraduate or postgraduate courses on metaphysics or philosophy of mathematics.