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  1. Foundations of Science.Norman Robert Campbell - 1920 - New York: Dover Publications.
  • The Structure of Science: Problems in the Logic of Scientific Explanation.Ernest Nagel - 1961 - New York, NY, USA: Harcourt, Brace & World.
    Introduction: Science and Common Sense Long before the beginnings of modern civilization, men ac- quired vast funds of information about their environment. ...
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  • Mathematics Without Numbers: Towards a Modal-Structural Interpretation.Geoffrey Hellman - 1989 - Oxford, England: 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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  • The Applicability of Mathematics as a Philosophical Problem.Mark Steiner - 1998 - Harvard University Press.
    This book analyzes the different ways mathematics is applicable in the physical sciences, and presents a startling thesis--the success of mathematical physics ...
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  • Reals by Abstraction.Bob Hale - 2000 - The Proceedings of the Twentieth World Congress of Philosophy 6:197-207.
    While Frege’s own attempt to provide a purely logical foundation for arithmetic failed, Hume’s principle suffices as a foundation for elementary arithmetic. It is known that the resulting system is consistent—or at least if second-order arithmetic is. Some philosophers deny that HP can be regarded as either a truth of logic or as analytic in any reasonable sense. Others—like Crispin Wright and I—take the opposed view. Rather than defend our claim that HP is a conceptual truth about numbers, I explain (...)
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  • Empiricism, Semantics, and Ontology. --.Rudolf Carnap - 1950 - Bobbs-Merrill.
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  • Fundamentals of Concept Formation in Empirical Science.Carl Gustav Hempel - 1952 - University of Chicago Press.
  • Abriss der Logistik Mit Besonderer Berücksichtigung der Relationstheorie Und Ihrer Anwendungen.Rudolf Carnap - 1929 - J. Springer.
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  • Logik, Mathematik Und Naturerkennen.Hans Hahn - 1933 - Gerold.
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  • A New Perspective on the Problem of Applying Mathematics.Chistroper Pincock - 2004 - Philosophia Mathematica 12 (2):135-161.
    The form of nominalism known as 'mathematical fictionalism' is examined and found wanting, mainly on grounds that go back to an early antinominalist work of Rudolf Carnap that has unfortunately not been paid sufficient attention by more recent writers.
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  • Empiricism, Semantics and Ontology.Rudolf Carnap - 1950 - Revue Internationale de Philosophie 4 (11):20-40.
  • Reals by Abstraction.Bob Hale - 2000 - Philosophia Mathematica 8 (2):100--123.
    On the neo-Fregean approach to the foundations of mathematics, elementary arithmetic is analytic in the sense that the addition of a principle wliich may be held to IMJ explanatory of the concept of cardinal number to a suitable second-order logical basis suffices for the derivation of its basic laws. This principle, now commonly called Hume's principle, is an example of a Fregean abstraction principle. In this paper, I assume the correctness of the neo-Fregean position on elementary aritlunetic and seek to (...)
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  • The Structure of Science.Ernest Nagel - 1961 - Les Etudes Philosophiques 17 (2):275-275.
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  • Fundamentals of Concept Formation in Empirical Science.Edward Poznański - 1958 - Journal of Symbolic Logic 23 (3):353-354.
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  • Fundamentals of Concept Formation in Empirical Science.Carl Gustav Hempel - 1972 - In International Encyclopedia of Unified Science. University of Chicago Press.
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  • The Limits of Tolerance: Carnap’s Logico-Philosophical Project in Logical Syntax.Alan W. Richardson - 1994 - Proceedings of Aristotelian Society:67--82.
     
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