Linked bibliography for the SEP article "Luitzen Egbertus Jan Brouwer" by Mark van Atten |
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A full bibliography of Brouwer's writings can be found in
- van Dalen, D., 1997, “A bibliography of L.E.J. Brouwer”, Utrecht Logic Group Preprint Series, no.176 [Available online]. Updated version in van Atten, M., Boldini, P., Bourdeau, M., and Heinzmann, G. (eds.), 2008, One Hundred Years of Intuitionism (1907–2007). The Cerisy Conference, Basel: Birkhäuser, pp. 343–390. (Scholar)
Availability of Brouwer's writings
Facsimiles of almost all of Brouwer's published papers can be found in
- Brouwer, L.E.J., 1975, Collected Works 1. Philosophy and Foundations of Mathematics, A. Heyting (ed.), Amsterdam: North-Holland. (Scholar)
- Brouwer, L.E.J., 1976, Collected Works 2. Geometry, Analysis, Topology and Mechanics, H. Freudenthal (ed.), Amsterdam: North-Holland. (Scholar)
In the Collected Works, papers in Dutch have been translated into English (without naming the translator(s)), but papers in French or German have not. English translations of several of them can be found in
- van Heijenoort, J., ed., 1967, From Frege to Gödel. A Sourcebook in Mathematical Logic, 1879–1931, Cambridge (MA): Harvard University Press. (Scholar)
- Mancosu, P., ed., 1998, From Hilbert to Brouwer. The Debate on the Foundations of Mathematics in the 1920s, Oxford: Oxford University Press. (Scholar)
An English translation of Brouwer's little book Leven, Kunst en Mystiek of 1905, of which the Collected Works contain only excerpts, is
- Brouwer, L.E.J., 1996, “Life, Art and Mysticism”, Notre Dame Journal of Formal Logic, 37(3):389–429. Translated by Walter van Stigt, who provides an introduction on pp.381–387. (Scholar)
The Berlin lectures of 1927 have been published in
- Brouwer, L.E.J., 1992, Intuitionismus, D. van Dalen (ed.), Mannheim: BI-Wissenschaftsverlag. (Scholar)
The Cambridge lectures of 1946–1951, which are recommended as Brouwer's own introduction to intuitionism, have been published as
- Brouwer, L.E.J., 1981, Brouwer's Cambridge Lectures on Intuitionism, D. van Dalen (ed.), Cambridge: Cambridge University Press. (Scholar)
Of particular biographical interest, yet untranslated, is the correspondence between Brouwer and his friend, the socialist poet C.S. Adama van Scheltema, which covers the years 1898–1924:
- Brouwer, L.E.J., & Adama van Scheltema, C.S., 1984, Droeve Snaar, Vriend van Mij. Brieven, D. van Dalen (ed.), Amsterdam: De Arbeiderspers. (Scholar)
Cited texts by Brouwer
Brouwer's writings are referred to according to the scheme in the bibliography van Dalen, 1997.
- Brouwer, L.E.J., 1905, Leven, Kunst en Mystiek. Partial English translation in Brouwer, 1975, pp. 1–9. Full English translation (by W. van Stigt) in Notre Dame Journal of Formal Logic, 37(3):389–429. (Scholar)
- Brouwer, L.E.J., 1907, Over de Grondslagen der Wiskunde, Ph.D. thesis, Universiteit van Amsterdam. English translation in Brouwer, 1975, pp. 11–101. (Scholar)
- Brouwer, L.E.J., 1908, “De onbetrouwbaarheid der logische principes”, Tijdschrift voor Wijsbegeerte, 2: 152–158. English translation in Brouwer, 1975, pp. 107–111. (Scholar)
- Brouwer, L.E.J., 1914, “A. Schoenflies und H. Hahn. Die Entwickelung der Mengenlehre und ihrer Anwendungen, Leipzig und Berlin 1913”, Jahresb. D.M.V., 23: 78–83. (Scholar)
- Brouwer, L.E.J., 1918B, “Begründung der Mengenlehre unabhängig vom logischen Satz vom ausgeschlossenen Dritten. Erster Teil, Allgemeine Mengenlehre”, KNAW Verhandelingen, 5: 1–43. (Scholar)
- Brouwer, L.E.J., 1919A, “Begründung der Mengenlehre unabhängig vom logischen Satz vom ausgeschlossenen Dritten. Zweiter Teil, Theorie der Punktmengen”, KNAW Verhandelingen, 7: 1–33. (Scholar)
- Brouwer, L.E.J., 1919D, “ Intuitionistische Mengenlehre ”, Jahresb. D.M.V., 28: 203–208. English translation in Mancosu 1998 pp. 23–27. (Scholar)
- Brouwer, L.E.J., 1921A, “Besitzt jede reelle Zahl eine Dezimalbruchentwicklung?”, Mathematische Annalen, 83: 201–210. English translation in Mancosu 1998 pp. 28–35. (Scholar)
- Brouwer, L.E.J., 1924N, “Über die Bedeutung des Satzes vom ausgeschlossenen Dritten in der Mathematik, insbesondere in der Funktionentheorie”, Journal für die reine und angewandte Mathematik, 154: 1–7. English translation in van Heijenoort 1967, pp. 335–341. (Scholar)
- Brouwer, L.E.J., 1927B, “Über Definitionsbereiche von Funktionen”, Mathematische Annalen, 97: 60–75. English translation of sections 1–3 in van Heijenoort 1967, pp. 457–463. (Scholar)
- Brouwer, L.E.J., 1928A2, “Intuitionistische Betrachtungen über den Formalismus”, KNAW Proceedings, 31: 374–379. English translation in Mancosu 1998, pp. 40–44. (Scholar)
- Brouwer, L.E.J., 1929A, “Mathematik, Wissenschaft und Sprache”, Monatshefte für Mathematik und Physik, 36: 153–164. English translation in Mancosu 1998, pp.45–53. (Scholar)
- Brouwer, L.E.J., 1930A, Die Struktur des Kontinuums, Wien: Komitee zur Veranstaltung von Gastvorträgen ausländischer Gelehrter der exakten Wissenschaften. English translation in Mancosu 1998, pp. 54–63. (Scholar)
- Brouwer, L.E.J., 1933A2, “Willen, weten, spreken”, in De Uitdrukkingswijze der Wetenschap, L.E.J. Brouwer et al., Groningen: Noordhoff, 45–63. English translation in van Stigt 1990, pp. 418–431. (Scholar)
- Brouwer, L.E.J., 1946B, “Toespraak van Prof.Dr. L.E.J. Brouwer en antwoord van Prof.Dr. G. Mannoury”, Jaarboek der Universiteit van Amsterdam 1946–1947, II. English translation of Brouwer's part in Brouwer, 1975, pp. 472–476. English translation of Mannoury's reply: Synthese, 5: 514–515. (Scholar)
- Brouwer, L.E.J., 1948A, “Essentieel negatieve eigenschappen”, Indagationes Mathematicae, 10: 322–323. English translation in Brouwer, 1975, pp. 478–479. (Scholar)
- Brouwer, L.E.J., 1949A, “De non-aequivalentie van de constructieve en de negatieve orderelatie in het continuum”, Indagationes Mathematicae, 11: 37–39. English translation in Brouwer, 1975, pp. 495–496. (Scholar)
- Brouwer, L.E.J., 1949B, “Contradictoriteit der elementaire meetkunde”, KNAW Proc., 52: 315–316. English translation in Brouwer, 1975, pp. 497–498. (Scholar)
- Brouwer, L.E.J., 1949C, “Consciousness, philosophy and mathematics”, Proceedings of the 10th International Congress of Philosophy, Amsterdam 1948, 3: 1235–1249. (Scholar)
- Brouwer, L.E.J., 1954F, “An example of contradictority in classical theory of functions”, Indag. Math., 16: 204–205. (Scholar)
- Brouwer, L.E.J., 1955, “The effect of intuitionism on classical algebra of logic”, Proceedings of the Royal Irish Academy, 57: 113–116. (Scholar)
Cited primary texts by others
- Euwe, M., 1929, “Mengentheoretische Betrachtungen über das Schachspiel”, Ned. Akad. Wetensch. Proc., 32:633–644. (Scholar)
- Hilbert, D., 1922, “Neubegründung der Mathematik. Erste Mitteilung”, Hamburger Math. Seminarabhandlungen, 1:157–177. English translation “The New Grounding of Mathematics: first report” in (Mancosu 1998). (Scholar)
- Mannoury, G., 1909, Methodologisches und Philosophisches zur Elementar-Mathematik, Haarlem: Visser. (Scholar)
- Welby, V., 1896, “Sense, Meaning and Interpretation”, Mind, N.S., 5(17):24–37; (18):186–202. (Scholar)
- Weyl, H., 1921, “Über die neue Grundlagenkrise der Mathematik”, Mathematische Zeitschrift, 10:39–79. English translation “On the New Foundational Crisis of Mathematics” in (Mancosu 1998). (Scholar)
Secondary Literature
- Dummett, M., 1977, Elements of Intuitionism, Oxford: Oxford University Press. 2nd, revised edition, 2000, Oxford: Clarendon Press.
- An overview of intuitionism. Philosophically, it seems closer to Wittgenstein than to Brouwer. (Scholar)
- Hesseling, D.E., 2003, Gnomes in the Fog. The Reception of
Brouwer's Intuitionism in the 1920s, Basel: Birkhauser.
- A detailed historical discussion of the reactions to Brouwer's mature intuitionism during the foundational debate. (Scholar)
- Heyting, A., 1956, Intuitionism. An introduction,
Amsterdam: North-Holland. 2nd, revised edition, 1966. 3rd, revised
edition, 1971.
- Probably the most influential book on the subject ever written. In a style that is more down-to-earth and oecumenical than Brouwer's, Heyting presents the intuitionistic versions of various basic subjects in everyday mathematics. Brouwer and Heyting have some philosophical disagreements that make a difference in their appreciation of some aspects of intuitionistic mathematics. No comments of Brouwer on this book are known. (Scholar)
- Largeault, J., 1993, Intuition et Intuitionisme, Paris:
Vrin.
- An overview of intuitionism, staying close to Brouwer, and showing a good sense of the historical background of Brouwer's notion of intuition. (Scholar)
- Placek, T., 1999, Mathematical Intuitionism and
Intersubjectivity, Dordrecht: Kluwer.
- A comparison of the arguments for intuitionism advanced by, respectively, Brouwer, Heyting, and Dummett, in particular with respect to the possibility of intersubjective validity of intuitionistic mathematics. (Scholar)
- Schmitz, H.W., 1990, De Hollandse Significa. Een Reconstructie
van de Geschiedenis van 1892 tot 1926, Assen: van Gorcum.
- A detailed monograph on the development of the signific movement in the Netherlands, in Dutch. (Scholar)
- van Atten, M., 2004, On Brouwer, Belmont (CA): Wadsworth.
- A philosophical introduction to intuitionism as conceived by Brouwer, with extensive treatments of the proof of the bar theorem, the creating subject, and intersubjectivity. (Scholar)
- van Atten, M., & Tragesser, R., “Mysticism and
Mathematics: Brouwer, Gödel and the Common Core Thesis”,
in Klarheit in Religionsdingen, Deppert, W. & Rahnfeld,
M., eds., Leipzig: Leipziger Universitatsverlag, 145–160.
- A comparison of Brouwer's and Gödel's interest in mysticism and of their views on its relation to mathematics. (Scholar)
- van Dalen, D., 1999/2005, Mystic, Geometer, and
Intuitionist, 2 volumes, Oxford: Clarendon Press.
- The standard biography of Brouwer. Volume 1, The Dawning Revolution, covers the years 1881–1928, volume 2, Hope and Disillusion, covers 1929–1966. (Scholar)
- van Dalen, D., 2001, L.E.J. Brouwer 1881–1966. Een Biografie.
Het Heldere Licht van de Wiskunde, Amsterdam: Bert Bakker.
- A popular biography in 1 volume, in Dutch. (Scholar)
- van Stigt, W., 1990, Brouwer's Intuitionism, Amsterdam:
North-Holland.
- Contains interesting philosophical discussions and gives English translations of material from the Brouwer archive. The biographical sketch has now been superseded by (van Dalen, 1999/2005) and (van Dalen, 2001). (Scholar)
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