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Janet Folina
Macalester College
  1.  38
    Church's Thesis: Prelude to a Proof.Janet Folina - 1998 - Philosophia Mathematica 6 (3):302-323.
  2.  9
    The Infinite.Janet Folina & A. W. Moore - 1990 - Philosophical Quarterly 41 (164):348.
    Anyone who has pondered the limitlessness of space and time, or the endlessness of numbers, or the perfection of God will recognize the special fascination of this question. Adrian Moore's historical study of the infinite covers all its aspects, from the mathematical to the mystical.
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  3.  19
    After Non-Euclidean Geometry: Intuition, Truth and the Autonomy of Mathematics.Janet Folina - 2018 - Journal for the History of Analytical Philosophy 6 (3).
    The mathematical developments of the 19th century seemed to undermine Kant’s philosophy. Non-Euclidean geometries challenged Kant’s view that there is a spatial intuition rich enough to yield the truth of Euclidean geometry. Similarly, advancements in algebra challenged the view that temporal intuition provides a foundation for both it and arithmetic. Mathematics seemed increasingly detached from experience as well as its form; moreover, with advances in symbolic logic, mathematical inference also seemed independent of intuition. This paper considers various philosophical responses to (...)
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  4.  10
    Poincaré and the Philosophy of Mathematics.Janet Folina - 1992 - St. Martin's Press.
  5. Putnam, Realism and Truth.Janet Folina - 1995 - Synthese 103 (2):141--52.
    There are several distinct components of the realist anti-realist debate. Since each side in the debate has its disadvantages, it is tempting to try to combine realist theses with anti-realist theses in order to obtain a better, more moderate position. Putnam attempts to hold a realist concept of truth, yet he rejects realist metaphysics and realist semantics. He calls this view internal realism. Truth is realist on this picture for it is objective, rather than merely intersubjective, and eternal. Putnam introduces (...)
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  6.  85
    Poincaré's Conception of the Objectivity of Mathematics.Janet Folina - 1994 - Philosophia Mathematica 2 (3):202-227.
    There is a basic division in the philosophy of mathematics between realist, ‘platonist’ theories and anti-realist ‘constructivist’ theories. Platonism explains how mathematical truth is strongly objective, but it does this at the cost of invoking mind-independent mathematical objects. In contrast, constructivism avoids mind-independent mathematical objects, but the cost tends to be a weakened conception of mathematical truth. Neither alternative seems ideal. The purpose of this paper is to show that in the philosophical writings of Henri Poincaré there is a coherent (...)
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  7.  32
    Poincare on Mathematics, Intuition and the Foundations of Science.Janet Folina - 1994 - PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association 1994:217 - 226.
    In his first philosophy book, Science and Hypothesis, Poincare provides a picture in which the different sciences are arranged in a hierarchy. Arithmetic is the most general of all the sciences because it is presupposed by all the others. Next comes mathematical magnitude, or the analysis of the continuum, which presupposes arithmetic; and so on. Poincare's basic view was that experiment in science depends on fixing other concepts first. More generally, certain concepts must be fixed before others: hence the hierarchy. (...)
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  8.  13
    Book Review: Michael Resnik. Mathematics as a Science of Patterns. [REVIEW]Janet Folina - 1999 - Notre Dame Journal of Formal Logic 40 (3):455-472.
  9.  18
    Gödel on How to Have Your Mathematics and Know It Too.Janet Folina - unknown
  10.  48
    Intuition Between the Analytic-Continental Divide: Hermann Weyl's Philosophy of the Continuum.Janet Folina - 2008 - Philosophia Mathematica 16 (1):25-55.
    Though logical positivism is part of Kant's complex legacy, positivists rejected both Kant's theory of intuition and his classification of mathematical knowledge as synthetic a priori. This paper considers some lingering defenses of intuition in mathematics during the early part of the twentieth century, as logical positivism was born. In particular, it focuses on the difficult and changing views of Hermann Weyl about the proper role of intuition in mathematics. I argue that it was not intuition in general, but his (...)
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  11.  1
    Poincaré and the Philosophy of Mathematics.Janet Folina - 1996 - Philosophical Quarterly 46 (183):251-255.
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  12.  26
    Newton and Hamilton: In Defense of Truth in Algebra.Janet Folina - 2012 - Southern Journal of Philosophy 50 (3):504-527.
    Although it is clear that Sir William Rowan Hamilton supported a Kantian account of algebra, I argue that there is an important sense in which Hamilton's philosophy of mathematics can be situated in the Newtonian tradition. Drawing from both Niccolo Guicciardini's (2009) and Stephen Gaukroger's (2010) readings of the Newton–Leibniz controversy over the calculus, I aim to show that the very epistemic ideals that underpin Newton's argument for the superiority of geometry over algebra also motivate Hamilton's philosophy of algebra. Namely, (...)
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  13.  12
    Poincaré and the Invention of Convention.Janet Folina - unknown
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  14.  14
    The Marriott Hotel Philadelphia, Pennsylvania December 27–30, 2008.Janet Folina, Douglas Jesseph, Dirk Schlimm, Emily Grosholz, Kenneth Manders, Sun-Joo Shin, Saul Kripke & William Ewald - 2009 - Bulletin of Symbolic Logic 15 (2).
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  15.  7
    Church’s Thesis and the Variety of Mathematical Justifications.Janet Folina - unknown
  16.  5
    Proof and Knowledge in Mathematics.Janet Folina - 1996 - Philosophical Quarterly 46 (182):125-127.
  17.  4
    Mathematical Intensions, Intensionality in Mathematics, and Intuition.Janet Folina - unknown
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  18.  3
    Review: Russell Reread. [REVIEW]Janet Folina - 1990 - Philosophical Quarterly 40 (161):502 - 508.
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  19.  2
    Brown James Robert. Philosophy of Mathematics, an Introduction to the World of Proofs and Pictures. Routledge, 1999, Vii+ 215 Pp. [REVIEW]Janet Folina - 2003 - Bulletin of Symbolic Logic 9 (4):504-506.
  20. REVIEWS-Philosophy of Mathematics, an Introduction to the World of Proofs and Pictures.J. R. Brown & Janet Folina - 2003 - Bulletin of Symbolic Logic 9 (4):504-505.
  21. An Introduction to the World of Proofs and Pictures. [REVIEW]Janet Folina - 2003 - Bulletin of Symbolic Logic 9 (4):504-505.
     
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  22. Of the Association for Symbolic Logic.Janet Folina, Douglas Jesseph, Dirk Schlimm, Emily Grosholz, Kenneth Manders, Sun-Joo Shin, Saul Kripke & William Ewald - 2009 - Bulletin of Symbolic Logic 15 (2):229.
  23. Poincaré and the Philosophy of Mathematics.Janet Folina - 1993 - Revue Philosophique de la France Et de l'Etranger 183 (3):631-633.
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  24. Russell Reread.Janet Folina - 1990 - Philosophical Quarterly 40 (61):502.
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