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Leng, Mary. Mathematics and Reality
2010, 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.

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Alexandrova, Anna. Making Models Count
2008, 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.

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Thalos, Mariam. Nonreductive physics
2006, 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.

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Thalos, Mariam. Explanation is a genus: An essay on the varieties of scientific explanation
2002, 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.

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Thalos, Mariam. A modest proposal for interpreting structural explanations
1998, 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 Pettit

Comment: 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.

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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.

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Longino, Helen. Science as Social Knowledge: Values and Objectivity in Scientific Inquiry
1990, Princeton University Press.

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Added by: Nick Novelli

Publisher's Note: Conventional wisdom has it that the sciences, properly pursued, constitute a pure, value-free method of obtaining knowledge about the natural world. In light of the social and normative dimensions of many scientific debates, Helen Longino finds that general accounts of scientific methodology cannot support this common belief. Focusing on the notion of evidence, the author argues that a methodology powerful enough to account for theories of any scope and depth is incapable of ruling out the influence of social and cultural values in the very structuring of knowledge. The objectivity of scientific inquiry can nevertheless be maintained, she proposes, by understanding scientific inquiry as a social rather than an individual process. Seeking to open a dialogue between methodologists and social critics of the sciences, Longino develops this concept of "contextual empiricism" in an analysis of research programs that have drawn criticism from feminists. Examining theories of human evolution and of prenatal hormonal determination of "gender-role" behavior, of sex differences in cognition, and of sexual orientation, the author shows how assumptions laden with social values affect the description, presentation, and interpretation of data. In particular, Longino argues that research on the hormonal basis of "sex-differentiated behavior" involves assumptions not only about gender relations but also about human action and agency. She concludes with a discussion of the relation between science, values, and ideology, based on the work of Habermas, Foucault, Keller, and Haraway.

Comment: Longino offers a way to accomodate critiques of science as being socially constructed with the claim that science is objective. This contextual empiricism is an interesting solution, and would provide a useful point of discussion in an exploration of these issues in a course that discusses scientific objectivity.

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Govier, Trudy. What’s Wrong with Slippery Slope Arguments?
1982, Canadian journal of philosophy. 12(2): 303-316.

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Added by: Simon Fokt

Content: Govier distinguishes four kinds of slippery slope arguments - conceptual, precedential, causal and mixed - and argues that only the last kind are likely to ever be sound.

Comment: Useful in teaching about fallacious arguments in general, and about moral arguments an popular discourse about such arguments in particular.

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