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Modal Structuralism and Theism

In Fiona Ellis (ed.), New Models of Religious Understanding. Oxford: Oxford University Press (forthcoming)

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  1. Structures and Structuralism in Contemporary Philosophy of Mathematics.Erich H. Reck & Michael P. Price - 2000 - Synthese 125 (3):341-383.
    In recent philosophy of mathematics avariety of writers have presented ``structuralist''views and arguments. There are, however, a number ofsubstantive differences in what their proponents take``structuralism'' to be. In this paper we make explicitthese differences, as well as some underlyingsimilarities and common roots. We thus identifysystematically and in detail, several main variants ofstructuralism, including some not often recognized assuch. As a result the relations between thesevariants, and between the respective problems theyface, become manifest. Throughout our focus is onsemantic and metaphysical issues, (...)
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  • The Philosophy of Philosophy.Timothy Williamson - 2007 - Wiley-Blackwell.
    The second volume in the _Blackwell Brown Lectures in Philosophy_, this volume offers an original and provocative take on the nature and methodology of philosophy. Based on public lectures at Brown University, given by the pre-eminent philosopher, Timothy Williamson Rejects the ideology of the 'linguistic turn', the most distinctive trend of 20th century philosophy Explains the method of philosophy as a development from non-philosophical ways of thinking Suggests new ways of understanding what contemporary and past philosophers are doing.
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  • Mathematical Truth.Paul Benacerraf - 1973 - Journal of Philosophy 70 (19):661-679.
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  • Mathematics Without Numbers: Towards a Modal-Structural Interpretation.Geoffrey Hellman - 1989 - Oxford University Press.
    Develops a structuralist understanding of mathematics, as an alternative to set- or type-theoretic foundations, that respects classical mathematical truth while ...
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  • Thinking about Mathematics.[author unknown] - 2001 - Tijdschrift Voor Filosofie 63 (1):189-190.
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  • Thinking About Mathematics: The Philosophy of Mathematics.Stewart Shapiro - 2000 - Oxford University Press.
    This unique book by Stewart Shapiro looks at a range of philosophical issues and positions concerning mathematics in four comprehensive sections. Part I describes questions and issues about mathematics that have motivated philosophers since the beginning of intellectual history. Part II is an historical survey, discussing the role of mathematics in the thought of such philosophers as Plato, Aristotle, Kant, and Mill. Part III covers the three major positions held throughout the twentieth century: the idea that mathematics is logic (logicism), (...)
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  • God, Value, and Nature.Fiona Ellis - 2014 - Oxford University Press UK.
    Many philosophers believe that God has been put to rest. Naturalism is the default position, and the naturalist can explain what needs to be explained without recourse to God. This book agrees that we should be naturalists, but it rejects the more prevalent scientific naturalism in favour of an 'expansive' naturalism inspired by David Wiggins and John McDowell. Fiona Ellis draws on a wide range of thinkers from theology and philosophy, and spans the gulf between analytic and continental philosophy. She (...)
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  • Mathematics Without Numbers: Towards a Modal-Structural Interpretation.Bob Hale & Geoffrey Hellman - 1992 - Philosophical Review 101 (4):919.
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  • Structuralism.Geoffrey Hellman - manuscript
    With the rise of multiple geometries in the nineteenth century, and in the last century the rise of abstract algebra, of the axiomatic method, the set-theoretic foundations of mathematics, and the influential work of the Bourbaki, certain views called “structuralist” have become commonplace. Mathematics is seen as the investigation, by more or less rigorous deductive means, of “abstract structures”, systems of objects fulfilling certain structural relations among themselves and in relation to other systems, without regard to the particular nature of (...)
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