About this topic
Summary Philosophical discussions about mathematics have a long history, which basically coincides with the history of philosophy. The main historiographic divisions are thus the same as for philosophy in general, i.e. there is philosophy of mathematics in Ancient Philosophy, in Medieval Philosophy, in Early Modern Philosophy (16th-18th centuries), and in Late Modern Philosophy (19th-20th centuries). For a general introduction to the topic, including source material, see R. Marcus and M. McEvoy, eds., A Historical Introduction to the Philosophy of Mathematics: A Reader (Bloomsbury, 2016). For excerpts and translations from crucial authors since Kant, compare W. Ewald, ed., From Kant to Hilbert: A Source Book in the Foundations of Mathematics. Vols. I-II (Oxford University Press, 1996).  And for the late 19th and the first half of the 20th centuries, see P. Benacerraf and H. Putnam, eds., Philosophy of Mathematics: Selected Readings (2nd ed., Cambridge University Press, 1984).
Key works Logicism, formalism, intuitionism, structuralism, foundations, logic, proof, truth, axioms, infinity.
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386 found
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  1. added 2020-05-19
    The Origin of Europe and the Esprit de Geometrie.Francesco Tampoia - 2020 - Cosmos and History 16.
    ABSTRACT: In searching for the origin of Europe and the cultural region/continent that we call “Europe”, at first glance we have to consider at least a double view: on the one hand the geographical understanding which indicates a region or a continent; on the other a certain form of identity and culture described and defined as European. Rodolphe Gasché taking hint from Husserl’s passage ‘Europe is not to be construed simply as a geographical and political entity’ states that a rigorous (...)
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  2. added 2020-04-16
    O conceito de número.Fernando Raul Neto & Bruno Bentzen - 2013 - Perspectiva Filosófica 2 (40):140-178.
    "The Concept of Number", by Ernst Cassirer, is the second chapter of his first systematic work, the "Substanzbegriff und Funktionsbegriff: Untersuchungen über die Grundfragen der Erkenntniskritik", originally published in German in 1910. The translation to English, in 1953, by Marie Collins Swabeyand William Curtis Swabey, under the title "Substance and Function and Einstein's Theory of Relativity", despite its importance for having widely disseminated the work, loses in its title the work's essence: the opposition between "concept-substance" and "concept-function", or rather, between (...)
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  3. added 2020-03-17
    A Pluralist Foundation of the Mathematics of the First Half of the Twentieth Century.Antonino Drago - 2017 - Journal of Indian Council of Philosophical Research 34 (2):343-363.
    MethodologyA new hypothesis on the basic features characterizing the Foundations of Mathematics is suggested.Application of the methodBy means of it, the several proposals, launched around the year 1900, for discovering the FoM are characterized. It is well known that the historical evolution of these proposals was marked by some notorious failures and conflicts. Particular attention is given to Cantor's programme and its improvements. Its merits and insufficiencies are characterized in the light of the new conception of the FoM. After the (...)
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  4. added 2020-03-14
    Arnošt Kolman’s Critique of Mathematical Fetishism.Jakub Mácha & Jan Zouhar - 2020 - In Radek Schuster (ed.), The Vienna Circle in Czechoslovakia. Cham, Switzerland: Springer. pp. 135-150.
    Arnošt Kolman (1892–1979) was a Czech mathematician, philosopher and Communist official. In this paper, we would like to look at Kolman’s arguments against logical positivism which revolve around the notion of the fetishization of mathematics. Kolman derives his notion of fetishism from Marx’s conception of commodity fetishism. Kolman is aiming to show the fact that an entity (system, structure, logical construction) acquires besides its real existence another formal existence. Fetishism means the fantastic detachment of the physical characteristics of real things (...)
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  5. added 2020-03-11
    The Making of Peacocks Treatise on Algebra: A Case of Creative Indecision.Menachem Fisch - 1999 - Archive for History of Exact Sciences 54 (2):137-179.
    A study of the making of George Peacock's highly influential, yet disturbingly split, 1830 account of algebra as an entanglement of two separate undertakings: arithmetical and symbolical or formal.
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  6. added 2020-03-10
    Research in History and Philosophy of Mathematics: The CSHPM 2018 Volume.Maria Zack & Dirk Schlimm (eds.) - 2020 - New York, USA: Springer Verlag.
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  7. added 2020-02-17
    Wittgenstein, Peirce, and Paradoxes of Mathematical Proof.Sergiy Koshkin - forthcoming - Analytic Philosophy.
    Wittgenstein's paradoxical theses that unproved propositions are meaningless, proofs form new concepts and rules, and contradictions are of limited concern, led to a variety of interpretations, most of them centered on rule-following skepticism. We argue, with the help of C. S. Peirce's distinction between corollarial and theorematic proofs, that his intuitions are better explained by resistance to what we call conceptual omniscience, treating meaning as fixed content specified in advance. We interpret the distinction in the context of modern epistemic logic (...)
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  8. added 2020-02-12
    David Hilbert’s Lectures on the Foundations of Geometry 1891—1902.Jan von Plato - 2006 - Bulletin of Symbolic Logic 12 (3):492-494.
  9. added 2020-02-10
    Mechanism, Mentalism and Metamathematics: An Essay on Finitism.Harold T. Hodes - 1984 - Journal of Philosophy 81 (8):456-464.
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  10. added 2020-01-30
    Hilbert on Consistency as a Guide to Mathematical Reality.Fiona T. Doherty - 2017 - Logique Et Analyse 237:107-128.
  11. added 2020-01-03
    Considerações de Brouwer sobre espaço e infinitude: O idealismo de Brouwer Diante do Problema Apresentado por Dummett Quanto à Possibilidade Teórica de uma Infinitude Espacial.Paulo Júnio de Oliveira - 2019 - Kinesis:94-108.
    Resumo Neste artigo, será discutida a noção de “infinitude cardinal” – a qual seria predicada de um “conjunto” – e a noção de “infinitude ordinal” – a qual seria predicada de um “processo”. A partir dessa distinção conceitual, será abordado o principal problema desse artigo, i.e., o problema da possibilidade teórica de uma infinitude de estrelas tratado por Dummett em sua obra Elements of Intuitionism. O filósofo inglês sugere que, mesmo diante dessa possibilidade teórica, deveria ser possível predicar apenas infinitude (...)
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  12. added 2019-12-19
    Einführung in die Philosophie der Mathematik.Jörg Neunhäuserer - 2019 - Wiesbaden, Deutschland: Springer Spektrum.
    Welche Art von Gegenständen untersucht die Mathematik und in welchem Sinne existieren diese Gegenstände? Warum dürfen wir die Aussagen der Mathematik zu unserem Wissen zählen und wie lassen sich diese Aussagen rechtfertigen? Eine Philosophie der Mathematik versucht solche Fragen zu beantworten. In dieser Einführung stellen wir maßgeblichen Positionen in der Philosophie der Mathematik vor und formulieren die Essenz dieser Positionen in möglichst einfachen Thesen. Der Leser erfährt, auf welche Philosophen eine Position zurückgeht und in welchem historischen Kontext diese entstand. Ausgehend (...)
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  13. added 2019-10-07
    Elliptical Orbits and the Aristotelian Scientific Revolution.James Franklin - 2016 - Studia Neoaristotelica 13 (2):69-79.
    The Scientific Revolution was far from the anti-Aristotelian movement traditionally pictured. Its applied mathematics pursued by new means the Aristotelian ideal of science as knowledge by insight into necessary causes. Newton’s derivation of Kepler’s elliptical planetary orbits from the inverse square law of gravity is a central example.
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  14. added 2019-10-05
    Husserl and Peirce and the Goals of Mathematics.Mirja Hartimo - 2019 - In Ahti-Veikko Pietarinen & Mohammad Shafiei (eds.), Peirce and Husserl: Mutual Insights on Logic, Mathematics and Cognition. Springer Verlag.
    ABSTRACT. The paper compares the views of Edmund Husserl (1859-1938) and Charles Sanders Peirce (1839-1914) on mathematics around the turn of the century. The two share a view that mathematics is an independent and theoretical discipline. Both think that it is something unrelated to how we actually think, and hence independent of psychology. For both, mathematics reveals the objective and formal structure of the world, and both think that modern mathematics is a Platonist enterprise. Husserl and Peirce also share a (...)
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  15. added 2019-09-22
    Contemporary Reviews of Frege’s Grundgesetze.Philip A. Ebert & Marcus Rossberg - 2019 - In Philip A. Ebert & Marcus Rossberg (eds.), Essays on Frege's Basic Laws of Arithmetic. Oxford: Oxford University Press. pp. 637-652.
  16. added 2019-09-22
    Mathematical Creation in Frege's Grundgesetze.Philip A. Ebert & Marcus Rossberg - 2019 - In Philip A. Ebert & Marcus Rossberg (eds.), Essays on Frege's Basic Laws of Arithmetic. Oxford: Oxford University Press. pp. 325-342.
  17. added 2019-09-15
    Research in History and Philosophy of Mathematics The CSHPM 2017 Annual Meeting in Toronto, Ontario.Maria Zack & Dirk Schlimm (eds.) - 2018 - New York: Birkhäuser.
    This volume contains thirteen papers that were presented at the 2017 Annual Meeting of the Canadian Society for History and Philosophy of Mathematics/Société canadienne d’histoire et de philosophie des mathématiques, which was held at Ryerson University in Toronto. It showcases rigorously reviewed modern scholarship on an interesting variety of topics in the history and philosophy of mathematics from Ancient Greece to the twentieth century. -/- A series of chapters all set in the eighteenth century consider topics such as John Marsh’s (...)
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  18. added 2019-09-15
    On Ehrenfels’ Dissertation.Carlo Ierna - 2017 - In Jutta Valent & Ulf Höfer (eds.), Christian von Ehrenfels: Philosophie – Gestalttheorie – Kunst: Österreichische Ideengeschichte Im Fin de Siècle. De Gruyter. pp. 163-184.
    The present article provides a critical analysis of Christian von Ehrenfels’ dissertation Über Grössenrelationen und Zahlen. Eine psychologische Studie. As many other students of Brentano, Ehrenfels engaged repeatedly with the philosophy of mathematics, but until now his dissertation remained nearly completely unknown. Ehrenfels’ dissertation, however, fits perfectly within the Brentanist philosophy of mathematics and actually occupies an important place therein, precisely because it occurs outside of the vertical master - student lineage that goes from Brentano via Stumpf to Husserl. Indeed, (...)
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  19. added 2019-09-15
    The Brentanist Philosophy of Mathematics in Edmund Husserl’s Early Works.Carlo Ierna - 2017 - In Stefania Centrone (ed.), Essays on Husserl’s Logic and Philosophy of Mathematics. Springer Verlag. pp. 147-168.
    A common analysis of Edmund Husserl’s early works on the philosophy of logic and mathematics presents these writings as the result of a combination of two distinct strands of influence: on the one hand a mathematical influence due to his teachers is Berlin, such as Karl Weierstrass, and on the other hand a philosophical influence due to his later studies in Vienna with Franz Brentano. However, the formative influences on Husserl’s early philosophy cannot be so cleanly separated into a philosophical (...)
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  20. added 2019-09-15
    La notion husserlienne de multiplicité : au-delà de Cantor et Riemann.Carlo Ierna - 2012 - Methodos 12.
    The concept of a Mannigfaltigkeit in Husserl has been given various interpretations, due to its shifting role in his works. Many authors have been misled by this term, placing it in the context of Husserl’s early period in Halle, while writing the Philosophy of Arithmetic, as a friend and colleague of Georg Cantor.Yet at the time, Husserl distanced himself explicitly from Cantor’s definition and rather took Bernhard Riemann as example, having studied and lectured extensively on Riemann’s theories of space. Husserl’s (...)
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  21. added 2019-09-14
    Quantity and Number.James Franklin - 2014 - In Daniel D. Novotný & Lukáš Novák (eds.), Neo-Aristotelian Perspectives in Metaphysics. New York, USA: Routledge. pp. 221-244.
    Quantity is the first category that Aristotle lists after substance. It has extraordinary epistemological clarity: "2+2=4" is the model of a self-evident and universally known truth. Continuous quantities such as the ratio of circumference to diameter of a circle are as clearly known as discrete ones. The theory that mathematics was "the science of quantity" was once the leading philosophy of mathematics. The article looks at puzzles in the classification and epistemology of quantity.
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  22. added 2019-09-13
    Early Modern Mathematical Principles and Symmetry Arguments.James Franklin - 2017 - In The Idea of Principles in Early Modern Thought Interdisciplinary Perspectives. New York, USA: Routledge. pp. 16-44.
    The leaders of the Scientific Revolution were not Baconian in temperament, in trying to build up theories from data. Their project was that same as in Aristotle's Posterior Analytics: they hoped to find necessary principles that would show why the observations must be as they are. Their use of mathematics to do so expanded the Aristotelian project beyond the qualitative methods used by Aristotle and the scholastics. In many cases they succeeded.
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  23. added 2019-09-09
    Babbage's Two Lives.Menachem Fisch - 2014 - British Journal for the History of Science 47 (1):95-118.
    Babbage wrote two relatively detailed, yet significantly incongruous, autobiographical accounts of his pre-Cambridge and Cambridge days. He published one in 1864 and in it advertised the existence of the other, which he carefully retained in manuscript form. The aim of this paper is to chart in some detail for the first time the discrepancies between the two accounts, to compare and assess their relative credibility, and to explain their author's possible reasons for knowingly fabricating the less credible of the two.
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  24. added 2019-07-05
    The Later Wittgenstein’s Guide to Contradictions.Alessio Persichetti - forthcoming - Synthese:1-17.
    This paper portrays the later Wittgenstein’s conception of contradictions and his therapeutic approach to them. I will focus on and give relevance to the Lectures on the Foundations of Mathematics, plus the Remarks on the Foundations of Mathematics. First, I will explain why Wittgenstein’s attitude towards contradictions is rooted in: a rejection of the debate about realism and anti-realism in mathematics; and Wittgenstein’s endorsement of logical pluralism. Then, I will explain Wittgenstein’s therapeutic approach towards contradictions, and why it means that (...)
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  25. added 2019-07-02
    Sofia A. Yanovskaya: The Marxist Pioneer of Mathematical Logic in the Soviet Union.Dimitris Kilakos - 2019 - Transversal: International Journal for the Historiography of Science 6:49-64.
    K. Marx’s 200th jubilee coincides with the celebration of the 85 years from the first publication of his “Mathematical Manuscripts” in 1933. Its editor, Sofia Alexandrovna Yanovskaya (1896–1966), was a renowned Soviet mathematician, whose significant studies on the foundations of mathematics and mathematical logic, as well as on the history and philosophy of mathematics are unduly neglected nowadays. Yanovskaya, as a militant Marxist, was actively engaged in the ideological confrontation with idealism and its influence on modern mathematics and their interpretation. (...)
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  26. added 2019-06-14
    Gottlob Frege: Basic Laws of Arithmetic.Philip A. Ebert & Marcus Rossberg (eds.) - 2013 - Oxford, UK: Oxford University Press.
    This is the first complete English translation of Gottlob Frege's Grundgesetze der Arithmetik (1893 and 1903), with introduction and annotation. As the culmination of his ground-breaking work in the philosophy of logic and mathematics, Frege here tried to show how the fundamental laws of arithmetic could be derived from purely logical principles.
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  27. added 2019-06-07
    Christoph Limbeck-Lilienau and Friedrich Stadler. Der Wiener Kreis: Texte und Bilder zum Logischen Empirismus. Vienna: LIT, 2015. Pp. 489. €39.90. [REVIEW]Thomas Uebel - 2016 - Hopos: The Journal of the International Society for the History of Philosophy of Science 6 (2):323-325.
  28. added 2019-06-06
    Review: Douglas Patterson. Alfred Tarski: Philosophy of Language and Logic. [REVIEW]Roman Murawski - 2013 - Journal for the History of Analytical Philosophy 1 (9).
    Review of Douglas Patterson. Alfred Tarski: Philosophy of Language and Logic.
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  29. added 2019-06-06
    Christine Redecker. Wittgensteins Philosophie der Mathematik: Eine Neubewertung Im Ausgang von der Kritik an Cantors Beweis der Überabzählbarkeit der Reellen Zahlen. [Wittgenstein's Philosophy of Mathematics: A Reassessment Starting From the Critique of Cantor's Proof of the Uncountability of the Real Numbers]: Critical Studies/Book Reviews.Esther Ramharter - 2009 - Philosophia Mathematica 17 (3):382-392.
  30. added 2019-06-06
    Dov M. Gabbay and John Woods, Eds., Handbook of the History of Logic, Volume 3: The Rise of Modern Logic From Leibniz to Frege. [REVIEW]Irving H. Anellis - 2009 - Transactions of the Charles S. Peirce Society 45 (3):456-463.
  31. added 2019-06-06
    Kant on Geometrical Intuition and the Foundations of Mathematics.Frode Kjosavik - 2009 - Kant-Studien 100 (1):1-27.
    It is argued that geometrical intuition, as conceived in Kant, is still crucial to the epistemological foundations of mathematics. For this purpose, I have chosen to target one of the most sympathetic interpreters of Kant's philosophy of mathematics – Michael Friedman – because he has formulated the possible historical limitations of Kant's views most sharply. I claim that there are important insights in Kant's theory that have survived the developments of modern mathematics, and thus, that they are not so intrinsically (...)
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  32. added 2019-06-06
    Gramatyka W Dobie Sporu o Podstawy Matematyki. Esej o Drugiej Filozofii Wittgensteina: [Grammar in the Age of the Dispute Over the Foundations of Mathematics: An Essay on Wittgenstein’s Second Philosophy]. [REVIEW]Jakub Gomułka - 2009 - Polish Journal of Philosophy 3 (1):140-145.
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  33. added 2019-06-06
    Jesper Lützen. Mechanistic Images in Geometric Form: Heinrich Hertz's Principles of Mechanics. [REVIEW]Christopher Pincock - 2008 - Philosophia Mathematica 16 (1):140-144.
    Philosophers unacquainted with the workings of actual scientific practice are prone to imagine that our best scientific theories deliver univocal representations of the physical world that we can use to calibrate our metaphysics and epistemology. Those few philosophers who are also scientists, like Heinrich Hertz, tend to contest this assumption. As Jesper Lützen relates in his scholarly and engaging book, Hertz's Principles of Mechanics contributed to a lively debate about the content of classical mechanics and what, if anything, this highly (...)
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  34. added 2019-06-06
    Ørsteds „Gedankenexperiment“: eine Kantianische Fundierung der Infinitesimalrechnung? Ein Beitrag zur Begriffsgeschichte von ‚Gedankenexperiment‘ und zur Mathematikgeschichte des frühen 19. Jahrhunderts.Daniel Cohnitz - 2008 - Kant-Studien 99 (4):407-433.
  35. added 2019-06-06
    Frank Pierobon. Kant Et les Mathématiques: La Conception Kantienne des Mathématiques [Kant and Mathematics: The Kantian Conception of Mathematics]. Bibliothèque d'Histoire de la Philosophie. Paris: J. Vrin. ISBN 2-7116-1645-2. Pp. 240. [REVIEW]Emily Carson - 2006 - Philosophia Mathematica 14 (3):370-378.
    This book is a welcome contribution to the literature on Kant's philosophy of mathematics in two particular respects. First, the author systematically traces the development of Kant's thought on mathematics from the very early pre-Critical writings through to the Critical philosophy. Secondly, it puts forward a challenge to contemporary Anglo-Saxon commentators on Kant's philosophy of mathematics which merits consideration.A central theme of the book is that an adequate understanding of Kant's pronouncements on mathematics must begin with the recognition that mathematics (...)
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  36. added 2019-06-06
    Signs, Figures and Time: Cavaillès on “Intuition” in Mathematics.Pierre Cassou-Nogués - 2006 - Theoria: Revista de Teoría, Historia y Fundamentos de la Ciencia 21 (1):89-104.
    This paper is concerned with Cavaillès’ account of “intuition” in mathematics. Cavaillès starts from Kant’s theory of constructions in intuition and then relies on various remarks by Hilbert to apply it tomodern mathematics. In this context, “intuition” includes the drawing of geometrical figures, the use of algebraic or logical signs and the generation of numbers as, for example, described by Brouwer. Cavaillès argues that mathematical practice can indeed be described as “constructions in intuition” but that these constructions are not imbedded (...)
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  37. added 2019-06-06
    Pasch entre Klein et Peano: empirisme et idéalité en géométrie.Sébastien Gandon - 2005 - Dialogue 44 (4):653-692.
    RÉSUMÉ: Pasch est généralement considéré comme le premier à avoir proposé une axiomatisation de la géométrie. Mais ses Vorlesungen über neure Geometrie contiennent plusieurs éléments étrangers au paradigme hilbertien. Pasch soutient ainsi que la « géométrie élémentaire », dont il propose une axiomatisation complète, est une théorie empiriquement vraie. Les commentateurs considèrent généralement les différences entre la méthode de Pasch et celle qui deviendra standard après Hilbert comme autant de défauts affectant une pensée encore inaboutie. Notre but consiste au contraire (...)
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  38. added 2019-06-06
    Gödel’s Modernism: On Set-Theoretic Incompleteness.Juliette Cara Kennedy & Mark van Atten - 2004 - Graduate Faculty Philosophy Journal 25 (2):289-349.
    On Friday, November 15, 1940, Kurt Gödel gave a talk on set theory at Brown University. The topic was his recent proof of the consistency of Cantor’s Continuum Hypothesis with the axiomatic system ZFC for set theory. His friend from their days in Vienna, Rudolf Carnap, was in the audience, and afterward wrote a note to himself in which he raised a number of questions on incompleteness.
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  39. added 2019-06-06
    Number and Measure: Hermann von Helmholtz at the Crossroads of Mathematics, Physics, and Psychology.Olivier Darrigol - 2003 - Studies in History and Philosophy of Science Part A 34 (3):515-573.
    In 1887 Helmholtz discussed the foundations of measurement in science as a last contribution to his philosophy of knowledge. This essay borrowed from earlier debates on the foundations of mathematics, on the possibility of quantitative psychology, and on the meaning of temperature measurement. Late nineteenth-century scrutinisers of the foundations of mathematics made little of Helmholtz’s essay. Yet it inspired two mathematicians with an eye on physics, and a few philosopher-physicists. The aim of the present paper is to situate Helmholtz’s contribution (...)
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  40. added 2019-06-06
    Infinite Divisibility and Actual Parts in Hume’s Treatise.Thomas Holden - 2002 - Hume Studies 28 (1):3-25.
    According to a standard interpretation of Hume’s argument against infinite divisibility, Hume is raising a purely formal problem for mathematical constructions of infinite divisibility, divorced from all thought of the stuffing or filling of actual physical continua. I resist this. Hume’s argument must be understood in the context of a popular early modern account of the metaphysical status of the parts of physical quantities. This interpretation disarms the standard mathematical objections to Hume’s reasoning; I also defend it on textual and (...)
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  41. added 2019-06-06
    Construction and the Role of Schematism in Kant's Philosophy of Mathematics.A. T. Winterbourne - 1981 - Studies in History and Philosophy of Science Part A 12 (1):33.
    This paper argues that kant's general epistemology incorporates a theory of algebra which entails a less constricted view of kant's philosophy of mathematics than is sometimes given. To extract a plausible theory of algebra from the "critique of pure reason", It is necessary to link kant's doctrine of mathematical construction to the idea of the "schematism". Mathematical construction can be understood to accommodate algebraic symbolism as well as the more familiar spatial configurations of geometry.
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  42. added 2019-06-06
    The Foundations of Mathematics and Other Logical Essays.Frank Plumpton Ramsey - 1925 - Routledge & Kegan Paul.
  43. added 2019-06-06
    The Principles of Mathematics.Bertrand Russell - 1903 - Allen & Unwin.
    Published in 1903, this book was the first comprehensive treatise on the logical foundations of mathematics written in English. It sets forth, as far as possible without mathematical and logical symbolism, the grounds in favour of the view that mathematics and logic are identical. It proposes simply that what is commonly called mathematics are merely later deductions from logical premises. It provided the thesis for which _Principia Mathematica_ provided the detailed proof, and introduced the work of Frege to a wider (...)
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  44. added 2019-06-05
    Paul Erickson. The World the Game Theorists Made. Chicago: University of Chicago Press, 2015. Pp. 384. $35.00.Philip Mirowski - 2017 - Hopos: The Journal of the International Society for the History of Philosophy of Science 7 (1):160-163.
  45. added 2019-06-05
    On a Perceived Expressive Inadequacy of Principia Mathematica.Burkay T. Öztürk - 2011 - Florida Philosophical Review 12 (1):83-92.
    This paper deploys a Cantor-style diagonal argument which indicates that there is more possible mathematical content than there are propositional functions in Russell and Whitehead's Principia Mathematica and similar formal systems. This technical result raises a historical question: "How did Russell, who was himself an expert in diagonal arguments, not see this coming?" It turns out that answering this question requires an appreciation of Russell's understanding of what logic is, and how he construed the relationship between logic and Principia Mathematica.
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  46. added 2019-05-28
    Review of Richard G. Heck, Jr: Reading Frege’s Grundgesetze. Oxford: Oxford University Press, 2012. [REVIEW]Marcus Rossberg - 2014 - Notre Dame Philosophical Review 11.
  47. added 2019-04-26
    Bernard Linsky. The Evolution of Principia Mathematica: Bertrand Russell's Manuscripts and Notes for the Second Edition. Cambridge University Press, Cambridge, 2011, Vii + 407 Pp. [REVIEW]Christopher Pincock - 2013 - Bulletin of Symbolic Logic 19 (1):106-108.
    Review by: Christopher Pincock The Bulletin of Symbolic Logic, Volume 19, Issue 1, Page 106-108, March 2013.
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  48. added 2019-04-26
    Dedekind Against Intuition: Rigor, Scope and the Motives of His Logicism.Michael Detlefsen - 2011 - In Carlo Cellucci, Emily Grosholz & Emiliano Ippoliti (eds.), Logic and Knowledge. Cambridge: Cambridge Scholars Publications. pp. 205-221.
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  49. added 2019-04-26
    Rigor, Reproof and Bolzano's Critical Program.Michael Detlefsen - 2010 - In Pierre Edouard Bour, Manuel Rebuschi & Laurent Rollet (eds.), Construction: A Festschrift for Gerhard Heinzmann. Cambridge: King's College Publications. pp. 171-184.
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  50. added 2019-03-21
    On Dedekind's Logicism.José Ferreirós - unknown
    The place of Richard Dedekind in the history of logicism is a controversial matter. The conception of logic incorporated in his work is certainly old-fashioned, in spite of innovative elements that would play an important role in late 19th and early 20th century discussions. Yet his understanding of logic and logicism remains of interest for the light it throws upon the development of modern logic in general, and logicist views of the foundations of mathematics in particular. The paper clarifies Dedekind's (...)
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