Book contents
- Frontmatter
- Contents
- Preface to this edition
- Editors’ preface
- Acknowledgments
- Author's introduction
- Chapter 1
- Chapter 2
- Appendix 1 Another case-study in the method of proofs and refutations
- Appendix 2 The deductivist versus the heuristic approach
- Bibliography
- Index of names
- Index of subjects
- References
Bibliography
Published online by Cambridge University Press: 05 November 2015
Book contents
- Frontmatter
- Contents
- Preface to this edition
- Editors’ preface
- Acknowledgments
- Author's introduction
- Chapter 1
- Chapter 2
- Appendix 1 Another case-study in the method of proofs and refutations
- Appendix 2 The deductivist versus the heuristic approach
- Bibliography
- Index of names
- Index of subjects
- References
Summary
A summary is not available for this content so a preview has been provided. Please use the Get access link above for information on how to access this content.
- Type
- Chapter
- Information
- Proofs and RefutationsThe Logic of Mathematical Discovery, pp. 164 - 174Publisher: Cambridge University PressPrint publication year: 2015
References
[1825] ‘Letter to Holmboë’, in and (eds.): Oeuvres Complètes, vol. 2. Christiana: Grøndahl, 1881, pp. 257–8.Google Scholar
[1826a] ‘Letter to Hansteen’, in and (eds.): Oeuvres Complètes, vol. 2. Christiania: Grøndahl, 1881, pp. 263–5.Google Scholar
[1826b] ‘Untersuchungen über die Reihe 1+m1x+m.(m−1)2x2+m.(m−1)(m−2)2.3x3…’, Journal für die Reine und Angewandte Mathematik, 1, pp. 311–39.Google Scholar
[1881] ‘Sur les Séries’, in and (eds.): Oeuvres Complètes, vol. 2. Christiania: Grøndahl, pp. 197–205.Google Scholar
Aetius [c. 150] Placita, in (ed.): Doxographi Graeci. Berolini: Reimeri, 1879.
[1956] ‘A General View of Mathematics’, in , and (eds.): Mathematics: its Content, Methods and Meaning. (English translation by S. H. Gould, K. A. Hirsch and T. Bartha. Cambridge, Massachusetts: M.I.T. Press, 1963).Google Scholar
and [1724] La Logique, ou L'Art de Penser. Lille: Publications de la Faculté des Lettres et Sciences Humaines de L'Université de Lille, 1964.Google Scholar
[1620] Novum Organum. English translation in and (eds.): The Philosophical Works of Francis Bacon. London: Routledge, 1905, pp. 241–387.Google Scholar
[1869b] ‘Nachtrag zu dem Aufsätze über Polyeder’, Zeitschrift für Mathematik und Physik, 14, pp. 337–343.Google Scholar
[1874] ‘Neuer Beweis und Erweiterung eines Fundamentalsatzes über Polyederflächen’, Zeitschrift für Mathematik und Physik, 19, pp. 459-60.Google Scholar
[1818–19] ‘Sur le Nombre des Racines Imaginaires des Équations; en Réponse aux Articles de MM. Tédenat et Servois’, Annales de Mathématiques, Pures et Appliquées, 9, pp. 345–72.Google Scholar
[1952] ‘Historical background, Principles and Methods of Intuitionism’, South African Journal of Science, 49, pp. 139–46.Google Scholar
[1937] The Logical Syntax of Language. New York and London: Kegan Paul. (Revised translation of Logische Syntax der Sprache, Vienna: Springer, 1934.)Google Scholar
[1930] Introduction to the Theory of Fourier's Series and Integrals. Third edition. New York: Dover, 1950.Google Scholar
[1813a] ‘Recherches sur les Polyèdres’, Journal de L'École Polytechnique, 9, pp. 68–86. (Read in February 1811.)Google Scholar
[1813b] ‘Sur les Polygones et les Polyèdres’, Journal de L'École Polytechnique, 9, pp. 87–98. (Read in January 1812.)Google Scholar
[1826] ‘Mémoire sur les Développements des Functions en Séries Périodiques’, Mémoires de L'Académie des Sciences 6, pp. 603–12.Google Scholar
[1853] ‘Note sur les Séries Convergentes dont les Divers Terms sont des Fonctions Continues d'une Variable Réelle ou Imaginaire entre des Limites Données’, Comptes Rendus Hebdomadaires des Séances de L'Académie des Sciences, 37, pp. 454–9.Google Scholar
[1859] ‘On Poinsot's Four New Regular Solids’, The Landon, Edinburgh, and Dublin Philosophical Magazine and Journal of Science, 4th Series, 17, pp. 123–8.Google Scholar
[1861] ‘On the Partitions of a Close’, The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science, 4th Series, 21, pp. 424–8.CrossRefGoogle Scholar
[1956] Introduction to Mathematical Logic, vol. 1. Princeton: Princeton University Press.Google Scholar
[1949] ‘Modern Logic and the Synthetic A Priori’, The Journal of Philosophy, 46, pp. 243–5.CrossRefGoogle Scholar
[1950] ‘Gödel and the Synthetic A Priori: a Rejoinder’, The Journal of Philosophy, 47, pp. 633–6.CrossRefGoogle Scholar
[1874a] ‘Lettre à Houel, 12 Janvier’. (Quoted in : Souci d'exactitude et Scrupules des Mathématiciens. Paris: Librairie Philosophique J. Vrin, 1960, p. 11.)Google Scholar
[1874b] ‘Lettre à Houel, 19 Fèvrier’. (Quoted in : Souci d'exactitude et Scrupules des Mathématiciens. Paris: Librairie Philosophique J. Vrin, 1960, p. 194.)Google Scholar
[1875] ‘Mémoire sur les Fonctions Discontinues’, Annales Scientifiques de L'École Normale Supérieure, second series 4, pp. 57–112.
[1883] ‘Lettre à Houel, 2 Septembre’. (Quoted in : Souci d'exactitude et Scrupules des Mathématiciens. Paris: Librairie Philosophique J. Vrin, 1960, p. 261.)Google Scholar
[1628] Rules for the Direction of the Mind. English translation in and (eds.): Descartes’ Philosophical Works, vol. 1, Cambridge: Cambridge University Press, 1911.Google Scholar
[1639] De Solidorum Elementis. (First published in Foucher de Careil: Oeuvres Inédites de Descartes, vol. 2, Paris: August Durand, 1860, pp. 214–34. For a considerably improved text see C. Adam and P. Tannery (eds.): Oeuvres de Descartes, vol. 10, pp. 257–78, Paris: Cerf, 1908.)Google Scholar
[1939] ‘Les Méthodes Axiomatiques Modernes et les Fondements des Mathématiques’, Revue Scientifique, 77, pp. 224–32.Google Scholar
Diogenes Laertius [c. 200] Vitae Philosophorus. With an English translation by . Vol. 2, London: Heinemann, 1925.Google Scholar
[1829] ‘Sur la Convergence des Séries Trigonométriques que servent à représenter une Fonction Arbitraire entre des Limites Données’, Journal für die Reine und Angewandte Mathematik, 4, pp. 157–69.Google Scholar
[1837] ‘Über die Darstellung Ganz Willkürlicher Functionen durch Sinus- und Cosinusreihen’, in and (eds.): Repertorium der Physik, 1, pp. 152–74.Google Scholar
[1853] ‘Letter to Gauss, 20 February, 1853’, in (ed.): Werke, vol. 2. Berlin: Reiner, 1897, pp. 385–7.Google Scholar
[1875] ‘Beweis, das die Coefficienten der Trigono-metrischen Reihe f(x)=∑p=0p=∞(apcospx+bpsinpx) die werte a0=12π displaystyle=“true” ∫−π+πdαf(α),ap=1π displaystyle=“true” ∫−π+πdαf(α)cospα,bp=1π displaystyle=“true” ∫−π+πdαf(α)sinpα haben, jedesmal wenn diese Integrale Endlich und Bestimmt sind’, Abhandlungen der Königlich-Bayerischen Akademie der Wissenschaften, Mathematisch-Physikalischen Classe, 12, 1, pp. 117–66.Google Scholar
[1876] ‘Untersuchungen über die Convergenz und Divergenz der Fourier'schen Darstellungsformeln’, Abhandlungen der Königlich–Bayerischen Akademie der Wissenschaften, Mathematisch-Physikalischen Classe, 12, 2, pp. i–xxiv and 1–102.Google Scholar
[1879] ‘Erläuterungen zu den Anfangsgründen der Variationrechnung’, Mathematische Annalen, 15, pp. 282–315, 564–76.Google Scholar
[1953] ‘Letter to P. A. Schilpp’. Published in P. A. Schilpp: ‘The Abdication of Philosophy’, Kant Studien, 51, pp. 490–1, 1959–60.Google Scholar
[1756–7] ‘Specimen de usu Observationum in Mathesi Pura’, Novi Commentarii Academiae Scientiarum Petropolitanae, 6, pp. 185–230. Editorial summary, pp. 19–21.Google Scholar
[1758a] ‘Elementa Doctrinae Solidorum’, Novi Commentarii Academiae Scientiarum Petropolitanae, 4. pp. 109–40. (Read in November 1750.)Google Scholar
[1758b] ‘Demonstratio Nonnullarum lnsignium Proprietatus Quibus Solida Hedris Planis Inclusa sunt Praedita’, Novi Commentarii Academiae Scientiarum Petropolitanae, 4, pp. 140–60. (Read in September 1751.)Google Scholar
and [1958] An Introduction to the Foundations and Fundamental Concepts of Mathematics. New York: Rinehart.Google Scholar
[1957] L'Aspect Moderne des Mathématiques. (English translation by J. H. Hlavaty and F. H. Hlavaty: The Modern Aspect of Mathematics, New York: Basic Books, 1960.)Google Scholar
[1808] ‘Mémoire sur la Propagation de la Chaleur dans les Corpe Solides (Extrait)’, Nouveau Bulletin des Sciences, par la Société Philomathique de Paris, I, pp. 112–16.Google Scholar
[1938] ‘L'Analyse Générale et la Question des Fondements’, in (ed.): Les Entretiens de Zurich, sur les Fondements et la Méthode des Sciences Mathématiques, Zürich: Leemans Frères et Cie, 1941, pp. 53–73.Google Scholar
[1813] ‘Disquisitiones Generales Circa Seriem Infinitam 1+αβ1.γ.x+α(α+1)β(β+1)1.2.γ(γ+1)x.x+α(α+1)(α+2)β(β+1)(β+2)1.2.3.γ(γ+1)(γ+2).x3+etc.’, in Werke, vol. 3, pp. 123–62. Leipzig: Teubner.Google Scholar
[1818] ‘Essai sur la Théorie des Definitions’, Annales de Mathématiques, Pures et Appliquées, 9, pp. 1–35.Google Scholar
[1827] ‘Einfacher Beweis der von Cauchy und Euler Gefundenen Sätze von Figurennetzen und Polyedern’, Journal für die Reine und Angewandte Mathematik, 2, p. 367.CrossRefGoogle Scholar
[1882] ‘Untersuchungen über die Unendlich oft Oscillierenden und Unstetigen Functionen’, Mathematische Annalen, 20, pp. 63–112.CrossRefGoogle Scholar
[1918] ‘Sir George Stokes and the Concept of Uniform Convergence’, Proceedings of the Cambridge Philosophical Society, 19, pp. 148–56.Google Scholar
(ed.) [1906] Abhandlungen über die Regelmassigen Sternkörper. Ostwald's Klassiker der Exacten Wissenschaften, No. 151, Leipzig: Engelmann.Google Scholar
[1925] The Thirteen Books of Euclid's Elements. Second edition. Cambridge: Cambridge University Press.Google Scholar
[1945] ‘Studies in the Logic of Confirmation, 1 and 2’, Mind, 54, pp. 1–26 and 97–121.Google Scholar
[1893] ‘Lettre à Stieltjes, 20 Mai 1893’, in and (eds.): Correspondence d'Hermite et de Stieltjes, vol. 2. Paris: Gautheirs-Villars, 1905, pp. 317–19.Google Scholar
[1832] ‘Nachtrag zu dem Euler'schen Lehrsatze von Polyedern’, Journal für die Reine und Angewandte Mathematik, 8, pp. 13–20.Google Scholar
[1939] ‘Les Fondements des Mathématiques du Point de Vue lntuitionniste’, in : Philosophie Mathématique, Paris: Hermann, pp. 73–5.Google Scholar
and [1932] Anschauliche Geometrie. Berlin: Springer. English translation by P. Nemenyi: Geometry and the Imagination. New York: Chelsea, 1956.CrossRefGoogle Scholar
[1651] Leviathan, in (ed.): The English Works of Thomas Hobbes, vol. 3, London: John Bohn, 1839.Google Scholar
[1656] The Questions Concerning Liberty, Necessity and Chance, in (ed.): The English Works of Thomas Hobbes, vol. 5, London: John Bohn, 1841.Google Scholar
[1879] ‘Ergänzung des Eulerschen Satzes von den Polyedern’, Archiv der Mathematik und Physik, 63, pp. 100–3.Google Scholar
[1890a] ‘Note sur un Point Fondamental de la Théorie des Polyèdres’, Comptes Rendus des Séances de L'Académie des Sciences, 110, pp. 110-15,Google Scholar
[1890b] ‘Note sur le Théorème d'Euler dans la Théorie des Polyèdres’, Comptes Rendus des Séances de L'Académie des Sciences, 110, pp. 169–73.Google Scholar
[1866a] ‘Recherches sur les Polyèdres’, Journal für die Reine und Angewandte Mathematik, 66, pp. 22–85.Google Scholar
[1866b] ‘Résumé de Recherches sur la Symétrie des Polyèdres non Euleriens’, Jounal für die Reine und Angewandte Mathematik, 66, pp. 86–91.Google Scholar
[1881] ‘Sur Ia Série de Fourier’, Comptes Rendus des Séances de L'Académie des Sciences, 92, pp. 228–33.Google Scholar
[1887] Cours d'Analyse de L'École Polytechnique, vol 3, first edition. Paris: Gauthier-Villars.Google Scholar
[1893] Cours d'Analyse de L'École Polytechnique, vol. 1, second edition. Paris: Gauthier-Villars.Google Scholar
[1912] ‘Note on Fourier's Influence on the Conceptions of Mathematics’, Proceedings of the Fifth International Congress of Mathematics, 2, pp. 526–7.Google Scholar
[1781] Critik der Reinen Verunft. First edition.
[1619] Harmonice Mundi, in and (eds.): Gesammelte Werke, vol. 6. Munich: C. H. Beck, 1940.Google Scholar
[1928] Theory and Application of Infinite Series. (Translated by , London and Glasgow: Blackie, 1928.)Google Scholar
[1961] Essays in the Logic of Mathematical Discovery, unpublished Ph.D. Dissertation, Cambridge.Google Scholar
[1962] ‘Infinite Regress and the Foundations of Mathematics’, Aristotelian Society Supplementary Volumes, 36, pp. 155–84.Google Scholar
[1970] ‘Falsification and the Methodology of Scientific Research Programmes’, in and (eds.): Criticism and the Growth of Knowledge, Cambridge: Cambridge University Press, pp. 91–196.CrossRefGoogle Scholar
[1923] ‘Notice sur la Vie et les Travaux de Camille Jordan’, Mémoires de L'Académie de L'Institute de France, 58, pp. 34–66. Reprinted in H. Lebesgue, Notices d'Histoire des Mathématiques, Genève. pp. 40–65.Google Scholar
[1928] Leçons sur L'Intégration et la Recherche des Fonctions Primitives. Paris: Gauthier-Villars. (Second, enlarged edition of the original 1905 version.)Google Scholar
[1809] Éléments de Géométrie. Eighth edition. Paris: Didot. The first edition appeared in 1794.Google Scholar
[1687] ‘Letter to Bayle’, in (ed.): Philosophische Schriften, vol. 3, Hildesheim: George Olms (1965), p. 52.Google Scholar
[1786] Exposition Élémentaire des Principes des Calculs Supérieurs. Berlin: G. J. Decker.Google Scholar
[1812–13a] ‘Mémoire sur la Polyèdrométrie’, Annales de Mathématiques, Pures et Appliquées, 3, pp. 168–91.Google Scholar
[1812–13b] ‘Mémoire sur les Solides Réguliers’, Annales de Mathématiques, Pures et Appliquées, 3, pp. 233–7.Google Scholar
[1861] ‘Der Census Räumlicher Complexe’, Abhandlungen der Königlichen Gesellschaft der Wissenschaften zu Göttingen, 10, pp. 97–182.Google Scholar
[1863] ‘Über die Scheinbaren Einschränkungen des Euler'schen Satzes von den Polyedern’, Zeitschrift für Mathematik und Physik, 8, pp. 449–50.Google Scholar
[1771] ‘Generalia de Genesi Figurarum Planarum et inde Pendentibus Earum Affectionibus’, Novi Commentarii Societatis Reglae Scientiarum Gottingensis, 1, pp. 144–80.Google Scholar
[1865] ‘Über die Bestimmung des Inhaltes eines Polyeders’, Berichte Königlich-Sächsischen Gesellschaft der Wissenschaften, Mathematisch–Physikalische Classe, 17, pp. 31–68.Google Scholar
[1840–1] Leçons de Calcul Differentiel et de Calcul Intégral, 2 vols. Paris: Bachelier.Google Scholar
[1953] Introduction to Measure and Integration. Cambridge, Massachusetts: Addison-Wesley.Google Scholar
[1947] ‘The Mathematician’, in (ed.): The Works of the Mind. Chicago: Chicago University Press.Google Scholar
[1826] ‘Bemerkungen über Figuren, die aus Behebigen, von Geraden Linien Umschlossenen Figuren Zusammengesetzt sind’, Journal für die Reine und Angewandt Mathematik, 1, pp. 227–31.Google Scholar
[1659] Les Réflexions sur la Géométrie en Général (De L'Ésprit Géométrique et de L'Art de Persuader). In (ed.): Oeuvres Complètes, Paris: La Librairie Gallimard, 1954, pp. 575–604.Google Scholar
[1893] ‘Sur la Généralisation d'un Théorème d'Euler relatif aux Polyèdres’, Comptes Rendus Je Séances de L'Académie des Sciences, 117, p. 144.Google Scholar
[1899] ‘Complément à L'Analysis Situs’, Rendiconti del Circolo Matematico di Palermo, 13, pp. 285–343.Google Scholar
[1902] La Science et L'Hypothèse. Paris: Flammarion. Authorised English translation by G. B. Halsted: The Foundations of Science, Lancaster, Pennsylvania: The Science Press, 1913, pp. 27–197.Google Scholar
[1905] La Valeur de la Science. Paris: Flammarion. Authorised English translation by G. B. Halsted: The Foundations of Science, Lancaster, Pennsylvania: The Science Press, 1913, pp. 359–546.Google Scholar
[1908] Science et Méthode. Paris: Flammarion. Authorised English translation by G. B. Halsted: The Foundations of Science, Lancaster, Pennsylvania: The Science Press, pp. 546–854.Google Scholar
[1810] ‘Mémoire sur les Polygones et les Polyèdres’, Journal de L'École Polytéchnique, 4, pp. 16–48. (Read in July 1809.)Google Scholar
[1858] ‘Note sur la Théorie des Polyèdres’, Comptes Rendus de L'Académie des Sciences, 46, pp. 65–79.Google Scholar
[1954] Mathematics and Plausible Reasoning, vols. 1 and 2. London: Oxford University Press.Google Scholar
[1962b] ‘The Teaching of Mathematics and the Biogenetic Law’, in (ed.): The Scientist Speculates. London: Heinemann, pp. 352–6.Google Scholar
[1935] ‘Letter to the Editor’, Erkenntnis, 3, pp. 426–9. Republished in Appendix *i to Popper [1959], pp. 311–14.Google Scholar
[1947] ‘Logic Without Assumptions’, Aristotelian Society Proceedings, 47, pp. 251–92.CrossRefGoogle Scholar
[1952] ‘The Nature of Philosophical Problems and their Roots in Science’, The British Journal for the Philosophy of Science, 3, pp. 124–56. Reprinted in Popper [1963a].Google Scholar
[1959] The Logic of Scientific Discovery. English translation of [1934].London: Hutchinson.Google Scholar
[1963b] ‘Science: Problems, Aims, Responsibilities’, Federation of American Societies for Experimental Biology: Federation Proceedings, 22, pp. 961–72.Google ScholarPubMed
[1916] ‘Grundlagen der Allgemeinen Functionenlehre’, in , and (eds.): Encyklopädie der Mathematischen Wissenschaften, vol. 2. Erste Teil, Erste Halbband, pp. 1–53. Leipzig: Teubner.Google Scholar
[1951] Mathematical Logic. Revised edition. Cambridge, Massachusetts: Harvard University Press.Google Scholar
[1931] The Foundations of Mathematics and Other Essays. Edited by . London: Kegan Paul.Google Scholar
[1891] ‘Zum Eulerschen Theorem der Polyedrometrie’, Festschrift des Gymnasium Schneeberg.
[1941] ‘Losung der Aufgabe 274’, Jarhresberichte der Deutschen Mathematiker-Vereinigung, 51, p. 23.Google Scholar
[1885] ‘Zu Möbius Polyedertheorie. Vorgelegt von F. Klein’, Berichte über die Verhandlungen der Königlich-Sachsischen Gesellschaft der Wissenschaften zu Leipzig, 37, pp. 106–25.Google Scholar
[1851] Grundlagen der eine Allgemeine Theorie der Functionen einer Veranderlichen Complexen Grösse (inaugural dissertation). In and (eds.): Gesammelte Mathematische Werke und Wissenschaftlicher Nachlass. Second edition. Leipzig: Teubner, 1892, pp. 3–48.Google Scholar
[1868] ‘Über die Darstellbarkeit einer Function durch eine Trigonometrische Reihe’, Abhandlungen der Königlichen Gesellschafi der Wissenschaften zu Göttingen, 13, pp. 87–132.Google Scholar
[1901] ‘Recent Work in the Philosophy of Mathematics’, The International Monthly, 3. Reprinted as ‘Mathematics and the Metaphysicians’, in his [1918], pp. 59–74.
and [1910–13] Principia Mathematica. Vol. I, 1910; Vol. 2, 1912; Vol. 3, 1913. Cambridge: Cambridge University Press.Google Scholar
[1933] Théori de L'Intégrale. English translation by L. C. Young: Theory of the Integral. Second edition. New York: Hamer, 1937.Google Scholar
[1852] ‘Theorie der Vielfachen Kontinuität’. Published posthumously in Neue Denkschriften der Allgemeinen Schweizerischen Gesellschaft für die Gesamten Naturwissenschaften, 38, pp. 1–237. Zürich, 1901.Google Scholar
[1862] ‘Über die Vielecke von Gebrochener Seitenzahl oder die Bedeutung der Stern-Polygone in der Geometrie’, Zeitschrift für Mathematik und Physik, 7, pp. 55–64.Google Scholar
[1847] ‘Note über eine Eigenschaft der Reihen, welche Discontinuirliche Functionen Darstellen’, Abhandlungen der Mathematisch-Physikalischen Klasse der Königlich Bayerischen Akademie der Wissenschaften, 5, pp. 381–93.Google Scholar
Sextus Empiricus [c. 190] Against the Logicians. Greek text with an English translation by . London: Heinemann, 1933.Google Scholar
[1826] ‘Leichter Beweis eines Stereometrischen Satzes von Euler’, Journal für die Reine und Angewandte Mathematik, 1, pp. 364–7.Google Scholar
[1960] Mathematical Snapshots. Revised and enlarged edition. New York: Oxford University Press.Google Scholar
[1914–31] ‘Polyeder und Raumeinteilungen’, in and (eds.): Encyklopädie der Mathematischen Wissenschaften, vol. 3, AB. 12. Leipzig: Teubner.Google Scholar
[1848] ‘On the Critical Values of the Sums of Periodic Series’, Transactions of the Cambridge Philosophical Society, 8, pp. 533–83.Google Scholar
[1958] ‘“Deiknymi” als Mathematischer Terminus fur “Beweisen”’, Maia, N.S. 10, pp. 1–26.Google Scholar
[1960] ‘Anfänge des Euklidischen Axiomensystems’, Archive for the History of Exact Sciences, 1, pp. 37–106.CrossRefGoogle Scholar
[1930a] ‘Über einige Fundamentale Begriffe der Metamathematik’, Comptes Rendus des Séances de la Société des Sciences et des Lettres de Varsovie, 23, Cl. III, pp. 22–9. Published in English in J. H. Woodger (ed.) [1956], pp. 30–7.Google Scholar
[1930b] ‘Fundamentale Begriffe der Methodologie der Deduktiven Wissenschaften, 1’, Monatshefte für Mathematik und Physik, 37, pp. 361–404. Published in English in J. H. Woodger (ed.) [1956], pp. 60–109.Google Scholar
[1935] ‘On the Concept of Logical Consequence’. Published in J. H. Woodger (ed.) [1956], pp. 409–20. This paper was read in Paris in 1935.
[1941] Introduction to Logic and to the Methodology of Deductive Sciences. Second edition. New York: Oxford University Press, 1946. (This is a partially modified and extended version of On Mathematical Logic and Deductive Method, published in Polish in 1936 and in German translation in 1937.)Google Scholar
[1950] ‘Gödel and the Synthetic A Priori’, The Journal of Philosophy, 47, pp. 125–9.CrossRefGoogle Scholar
[1941] ‘Topologie und Uniformisierung der Riemannschen Flächen’, Berichte über die Verhandlungen der Königlich-Sachsischen Gesellschaft der Wissenschaften zu Leipzig, 93, pp. 147–60.Google Scholar
[1858] History of Scientific Ideas. Vol. 1. (Part one of the third edition of The Philosophy of the Inductive Sciences.)
[1944] ‘The Nature of Mathematical Proof’, The American Mathematical Monthly, 52, pp. 309–23.Google Scholar
[1903–4] ‘On Non-Uniform Convergence and Term-by-Term Integration of Series’, Proceedings of the London Mathematical Society, 1, second series, pp. 89–102.Google Scholar
[1914–31] ‘Elementargeometrie’, in and (eds.): Encyklopädie der Mathematischen Wissenschaften, 3, Erste Teil, Zweiter Halbband, pp. 862–1176. Leipzig: Teubner.Google Scholar