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Mathematics. A science of patterns?

Synthese 112 (3):379-402 (1997)

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  1. The Philosophy of Michael Dummett.Brian F. McGuinness & Gianluigi Oliveri (eds.) - 1994 - Dordrecht, Netherland: Kluwer Academic Publishers.
    This book contains seminal discussions of central issues in the philosophy of language, mathematics, mind, religion and time. Is common language conceptually prior to idiolectics? What is a theory of meaning? Does constructivism provide a satisfactory account of mathematics? What are indefinitely extensible concepts? Can we change the past? These are only some of the very important questions addressed here. Both the papers written by the contributors and Dummett's replies provide a great wealth of stimulating ideas for those who currently (...)
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  • Truth in mathematics.Harold Garth Dales & Gianluigi Oliveri (eds.) - 1998 - New York: Oxford University Press, Usa.
    general, abstract situation. On the other side, I know that graduate students and all mathematicians sometimes falter because their intuitive, ..
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  • The logical basis of metaphysics.Michael Dummett - 1991 - Cambridge: Harvard University Press.
    Such a conception, says Dummett, will form "a base camp for an assault on the metaphysical peaks: I have no greater ambition in this book than to set up a base ...
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  • Realism, Mathematics, and Modality.Hartry Field - 1988 - Philosophical Topics 16 (1):57-107.
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  • Mathematics as a science of patterns: Epistemology.Michael Resnik - 1982 - Noûs 16 (1):95-105.
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  • General Topology.John L. Kelley - 1962 - Journal of Symbolic Logic 27 (2):235-235.
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  • Thoughts.G. Frege - 1977 - In Gottlob Frege (ed.), Logical investigations. Oxford: Blackwell.
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  • Mathematics as a science of patterns: Ontology and reference.Michael Resnik - 1981 - Noûs 15 (4):529-550.
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  • (5 other versions)What is Cantor's Continuum Problem?Kurt Gödel - 1983 - In Paul Benacerraf & Hilary Putnam (eds.), Philosophy of Mathematics: Selected Readings (2nd Edition). Cambridge University Press. pp. 470-485.
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  • (2 other versions)Critique of Pure Reason.I. Kant - 1787/1998 - Philosophy 59 (230):555-557.
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  • Philosophy of Mathematics.P. Benacerraf H. Putnam (ed.) - 1964 - Prentice-Hall.
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  • Realism and Anti-Realism about Mathematics.Hartry Field - 1982 - Philosophical Topics 13 (1):45-69.
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  • (2 other versions)Principia Mathematica.A. N. Whitehead & B. Russell - 1927 - Annalen der Philosophie Und Philosophischen Kritik 2 (1):73-75.
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  • Mathematical Epistemology.Penelope Maddy - 1984 - The Monist 67 (1):46-55.
    The tenor of much recent work in the philosophy of mathematics has been dictated by the popular assumption that Platonism is defunct. Some embrace that assumption and look for alternatives, others deny it and attempt to revive Platonism, but either way it is the starting point. The fate of Platonism took center stage with the appearance of Paul Benacerraf’s “Mathematical truth”, but a decade has passed since then, and the philosophical climate has changed. Most important, the quarter from which Platonism (...)
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  • Introduction to mathematical logic.Hans Hermes - 1973 - New York,: Springer Verlag.
    This book grew out of lectures. It is intended as an introduction to classical two-valued predicate logic. The restriction to classical logic is not meant to imply that this logic is intrinsically better than other, non-classical logics; however, classical logic is a good introduction to logic because of its simplicity, and a good basis for applications because it is the foundation of classical mathematics, and thus of the exact sciences which are based on it. The book is meant primarily for (...)
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  • Representation and Reality.H. Putnam - 1988 - Tijdschrift Voor Filosofie 52 (1):168-168.
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  • Anti-Realism and the Philosophy of Mathematics.Gianluigi Oliveri - 1994 - In Brian F. McGuinness & Gianluigi Oliveri (eds.), The Philosophy of Michael Dummett. Dordrecht, Netherland: Kluwer Academic Publishers. pp. 93--111.
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