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  1. added 2020-06-02
    The Foundations of Arithmetic.Gottlob Frege - 1953 - Evanston: Ill., Northwestern University Press.
    In arithmetic, if only because many of its methods and concepts originated in India, it has been the tradition to reason less strictly than in geometry, ...
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  2. added 2020-05-30
    Review of Gottlob Frege, Dale Jacquette (Tr.), The Foundations of Arithmetic[REVIEW]Michael Kremer - 2008 - Notre Dame Philosophical Reviews 2008 (1).
    Last spring, as I was beginning a graduate seminar on Frege, I received a complimentary copy of this new translation of his masterwork, The Foundations of Arithmetic . I had ordered Austin's famous translation, well-loved for the beauty of its English and the clarity with which it presents Frege's overall argument, but known to be less than literal, and to sometimes supplement translation with interpretation. I was intrigued by Dale Jacquette's promise "to combine literal accuracy and readability for beginning students (...)
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  3. added 2020-05-24
    Objectivité et principe de dualité : Le paragraphe 26 des Fondements de l'arithmétique de Frege.Jean-Pierre Belna - 2006 - Revue d'Histoire des Sciences 2 (2):319-344.
    The idea of objectivity is primary in Gottlob Frege’s thought, not only for his conception of logic and mathematics, but also for his philosophy as a whole. He deals with the topic for the first time in 1884, in Grundlagen der Arithmetik, precisely in paragraph 26. He distinguishes the objective from the subjective, of course, but also from the real, what he calls the actual (wirklich in German). In order to be perfectly understood, he gives as example the colors but, (...)
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  4. added 2020-05-18
    The Foundations of Arithmetic a Logico-Mathematical Enquiry Into the Concept of Number. English Translation by J.L. Austin. [REVIEW]Gottlob Frege - 1953
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  5. added 2020-05-17
    FREGE, GOTTLOB. "The Foundations of Arithmetic". [REVIEW]Brian Coffey - 1951 - Modern Schoolman 29:157.
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  6. added 2020-05-12
    Gottlob Frege: The Foundations of Arithmetic. [REVIEW]W. H. McCrea - 1951 - Philosophy 26 (97):178-180.
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  7. added 2020-05-11
    Frege on Number Properties.Andrew D. Irvine - 2010 - Studia Logica 96 (2):239-260.
    In the Grundlagen , Frege offers eight main arguments, together with a series of more minor supporting arguments, against Mill’s view that numbers are “properties of external things”. This paper reviews all eight of these arguments, arguing that none are conclusive.
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  8. added 2020-05-11
    On Translating Frege's Die Grundlagen der Arithmetik.Matthias Schirn - 2010 - History and Philosophy of Logic 31 (1):47-72.
    In this essay, I critically discuss Dale Jacquette's new English translation of Frege's work Die Grundlagen der Arithmetik as well as his Introduction and Critical Commentary (Frege, G. 2007. The Foundations of Arithmetic. A Logical-Mathematical Investigation into the Concept of Number . Translated with an Introduction and Critical Commentary by Dale Jacquette. New York: Longman. xxxii + 112 pp.). I begin with a short assessment of Frege's book. In sections 2 and 3, I examine several claims that Jacquette makes in (...)
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  9. added 2020-05-11
    El Principio Fregeano Del Contexto En Die Grundlagen Der Arithmetik: Una Revisión a la Interpretación de Dummett.María Gabriela Fulugonio - 2008 - Análisis Filosófico 28 (2):205-238.
    En su obra de 1884, Die Grundlagen der Arithmetik [Gl.], Frege establece el principio del contexto como uno de sus principios fundamentales y propone valerse de él para dar con el concepto adecuado de número. Así, ofrece una definición de tipo contextual de número cardinal, pero ante una objeción que le resulta insalvable se decide por una definición explicita. La cuestión acerca de cuál ha sido entonces el sentido de establecer con tanto énfasis el principio del contexto admite más de (...)
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  10. added 2020-05-11
    Die Grundlagen der Arithmetik, §§82–3.George Boolos & Richard Kimberly Heck - 1998 - In Matthias Schirn (ed.), The philosophy of mathematics today. Oxford: Clarendon Press. pp. 407-428.
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  11. added 2020-05-11
    Grundlagen §64.Bob Hale - 1997 - Proceedings of the Aristotelian Society 97 (3):243-261.
  12. added 2020-05-11
    Reinterpreting §56 of Frege's The Foundations of Arithmetic.K. Brad Wray - 1995 - Auslegung 20 (2):76-82.
    I defend an alternative reading of §56 of Frege's Grundlagen, one that rescues Frege from Dummett's charge that this section is the weakest in the whole book. On my reading, Frege is not presenting arguments against the adjectival strategy. Rather, Frege presents the definitions in §55 in order to convince his reader that numbers must be objects. In §56 Frege suggests that these definitions contain two shortcomings that adequate definitions of numbers must overcome. And these short-comings, he argues, can only (...)
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  13. added 2020-05-11
    IX—Saving Frege From Contradiction.George Boolos - 1987 - Proceedings of the Aristotelian Society 87 (1):137-152.
  14. added 2020-05-11
    The Place of the Grundlagen in Frege's Development.David Bell - 1981 - Philosophical Quarterly 31 (124):209-224.
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  15. added 2020-05-11
    Gottlob Frege: The Foundations of Arithmetic (Die Grundlagen der Arithmetik). Translation by J. L. Austin. (Oxford: Basil Blackwell. 1950. Pp. 132 (Xii + 119). Price 16s.). [REVIEW]W. H. McCrea - 1951 - Philosophy 26 (97):178-180.
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  16. added 2020-05-11
    Grundlagen der Arithmetik.Gottlob Frege - 1884 - Breslau: Wilhelm Koebner Verlag.
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  17. added 2020-05-07
    Cantor on Frege's Foundations of Arithmetic : Cantor's 1885 Review of Frege's Die Grundlagen der Arithmetik.Marcus Rossberg & Philip A. Ebert - 2009 - History and Philosophy of Logic 30 (4):341-348.
    In 1885, Georg Cantor published his review of Gottlob Frege's Grundlagen der Arithmetik . In this essay, we provide its first English translation together with an introductory note. We also provide a translation of a note by Ernst Zermelo on Cantor's review, and a new translation of Frege's brief response to Cantor. In recent years, it has become philosophical folklore that Cantor's 1885 review of Frege's Grundlagen already contained a warning to Frege. This warning is said to concern the defectiveness (...)
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  18. added 2020-05-05
    Geometry and Generality in Frege's Philosophy of Arithmetic.Jamie Tappenden - 1995 - Synthese 102 (3):319 - 361.
    This paper develops some respects in which the philosophy of mathematics can fruitfully be informed by mathematical practice, through examining Frege's Grundlagen in its historical setting. The first sections of the paper are devoted to elaborating some aspects of nineteenth century mathematics which informed Frege's early work. (These events are of considerable philosophical significance even apart from the connection with Frege.) In the middle sections, some minor themes of Grundlagen are developed: the relationship Frege envisions between arithmetic and geometry and (...)
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  19. added 2020-05-04
    Grundlagen, Section 64: Frege's Discussion of Definitions by Abstraction in Historical Context.Paolo Mancosu - 2015 - History and Philosophy of Logic 36 (1):62-89.
    I offer in this paper a contextual analysis of Frege's Grundlagen, section 64. It is surprising that with so much ink spilled on that section, the sources of Frege's discussion of definitions by abstraction have remained elusive. I hope to have filled this gap by providing textual evidence coming from, among other sources, Grassmann, Schlömilch, and the tradition of textbooks in geometry for secondary schools . In addition, I put Frege's considerations in the context of a widespread debate in Germany (...)
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  20. added 2020-05-04
    Grundlagen §64.Bob Hale - 1997 - Proceedings of the Aristotelian Society 97 (3):243–261.
  21. added 2020-05-04
    Frege's Theorem and the Peano Postulates.George Boolos - 1995 - Bulletin of Symbolic Logic 1 (3):317-326.
  22. added 2020-05-03
    XII-Grundlagen S64.Bob Hale - 1997 - Proceedings of the Aristotelian Society 97 (3):243-261.
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