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  1. Arithmetic, Logicism, and Frege’s Definitions.Timothy Perrine - 2021 - International Philosophical Quarterly 61 (1):5-25.
    This paper describes both an exegetical puzzle that lies at the heart of Frege’s writings—how to reconcile his logicism with his definitions and claims about his definitions—and two interpretations that try to resolve that puzzle, what I call the “explicative interpretation” and the “analysis interpretation.” This paper defends the explicative interpretation primarily by criticizing the most careful and sophisticated defenses of the analysis interpretation, those given my Michael Dummett and Patricia Blanchette. Specifically, I argue that Frege’s text either are inconsistent (...)
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  2. Beyond Quantities and Qualities: Frege and Jevons on Measurement.Raphaël Sandoz - 2016 - Hopos: The Journal of the International Society for the History of Philosophy of Science 6 (2):212-238.
    On which philosophical foundations is the attribution of numerical magnitudes to qualitative phenomena based? That is, what is the philosophical basis for attributing, through measurement operations, numbers to empirical qualities that our senses perceive in the outside world? This question, nowadays rarely addressed in such a way, actually refers to an old debate about the quantification of qualities. A historical analysis reveals that it was a major issue in the “context of discovery” of the first attempts to mathematize new fields (...)
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  3. From Vienna to Vienna: European Philosophy of Science [Review]. [REVIEW]Adam Tuboly - 2016 - Science & Education (7-8):1-4.
  4. The Applicability of Mathematics in Science: Indispensability and Ontology.Sorin Bangu - 2012 - Palgrave-Macmillan.
    Suppose we are asked to draw up a list of things we take to exist. Certain items seem unproblematic choices, while others (such as God) are likely to spark controversy. The book sets the grand theological theme aside and asks a less dramatic question: should mathematical objects (numbers, sets, functions, etc.) be on this list? In philosophical jargon this is the ‘ontological’ question for mathematics; it asks whether we ought to include mathematicalia in our ontology. The goal of this work (...)
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  5. From Kant to Hilbert: A Source Book in the Foundations of Mathematics. [REVIEW]Antoni Kosinski - 2003 - Isis 94:345-347.
  6. The Search for Mathematical Roots, 1870–1940: Logics, Set Theories, and the Foundations of Mathematics From Cantor Through Russell to Gödel. [REVIEW]James Van Evra - 2003 - Isis 94:387-388.
  7. La Matematica: De Sus Fundamentos y Crisis. [REVIEW]Massimo Mazzotti - 2002 - Isis 93:328-329.
    In this essay Javier de Lorenzo reconstructs the so‐called crisis of the foundations of mathematics, a crucial scientific debate of the early twentieth century whose larger significance is still in need of much research. This is not an introductory text, as some background knowledge of the positions of the main actors is taken for granted. Rather, we are offered a historical interpretation of the emergence of this debate that connects it with more general changes in contemporary mathematical practice.The author presents (...)
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  8. Future Pasts: The Analytic Tradition in Twentieth Century Philosophy.Juliet Floyd & Sanford Shieh (eds.) - 2001 - Oxford University Press.
    This collection of previously unpublished essays presents a new approach to the history of analytic philosophy--one that does not assume at the outset a general characterization of the distinguishing elements of the analytic tradition. Drawing together a venerable group of contributors, including John Rawls and Hilary Putnam, this volume explores the historical contexts in which analytic philosophers have worked, revealing multiple discontinuities and misunderstandings as well as a complex interaction between science and philosophical reflection.
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  9. Reflections on Kurt Gödel. [REVIEW]James Franklin - 1991 - History of European Ideas 13 (5):637-638.
    A review of Hao Wang's Reflections on Kurt Goedel, emphasising Goedel's reaction against his Vienna Circle background.
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  10. The Infinite in Mathematics. By Felix Kaufmann. Edited by Brian McGuinness and Translated by P. Felkes.Dominic J. Balestra - 1980 - Modern Schoolman 57 (2):181-182.
  11. Georg Cantor: His Mathematics and Philosophy of the Infinite by Joseph Warren Dauben. [REVIEW]Albert Lewis - 1980 - Isis 71:493-494.
  12. Georg Cantor: The Personal Matrix of His Mathematics.Joseph Dauben - 1978 - Isis 69:534-550.
  13. Philosophy of Mathematics and Natural Science by Hermann Weyl. [REVIEW]V. Lenzen - 1950 - Isis 41:236-237.
  14. The Principles of Mathematics by Bertrand Russell. [REVIEW]H. Davis - 1939 - Isis 30:298-302.
  15. Linguistic Analysis of Mathematics by Arthur F. Bentley. [REVIEW]V. Lenzen - 1934 - Isis 20:491-492.