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I. Grattan-Guinness [244]Ivor Grattan-Guinness [43]
  1. Karl Popper and the 'the Problem of Induction': A Fresh Look at the Logic of Testing Scientific Theories. [REVIEW]I. Grattan-Guinness - 2004 - Erkenntnis 60 (1):107-120.
  2.  2
    Dear Russell, Dear Jourdain: A Commentary on Russell's Logic, Based on His Correspondence with Philip Jourdain.I. Grattan-Guinness - 1977 - Columbia University Press.
  3.  10
    Omnipresence, Multipresence and Ubiquity: Kinds of Generality in and Around Mathematics and Logics. [REVIEW]I. Grattan-Guinness - 2011 - Logica Universalis 5 (1):21-73.
    A prized property of theories of all kinds is that of generality, of applicability or least relevance to a wide range of circumstances and situations. The purpose of this article is to present a pair of distinctions that suggest that three kinds of generality are to be found in mathematics and logics, not only at some particular period but especially in developments that take place over time: ‘omnipresent’ and ‘multipresent’ theories, and ‘ubiquitous’ notions that form dependent parts, or moments, of (...)
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  4.  9
    The Correspondence Between George Boole and Stanley Jevons, 1863–1864.I. Grattan-Guinness - 1991 - History and Philosophy of Logic 12 (1):15-35.
    Although the existence of correspondence between George Boole (1815?1864) and William Stanley Jevons (1835?1882) has been known for a long time and part was even published in 1913, it has never been fully noted; in particular, it is not in the recent edition of Jevons's letters and papers. The texts are transcribed here, with indication of their significance. Jevons proposed certain quite radical changes to Boole's system, which Boole did not accept; nevertheless, they were to become well established.
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  5.  26
    Discussion. Structural Similarity of Structuralism? Comments on Priest's Analysis of the Paradoxes of Self-Reference.I. Grattan-Guinness - 1998 - Mind 107 (428):823-834.
    that all the paradoxes of set theory and logic fall under one schema; and (2) hence they should be solved by one kind of solution. This reply addresses both claims, and counters that (1) in fact at least one paradox escapes the schema, and also some apparently 'safe' theorems fall within it; and (2) even for the (considerable) range of paradoxes so captured by the schema, the assumption of a common solution is not obvious; each paradox surely depends upon the (...)
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  6.  6
    Work for the Workers: Advances in Engineering Mechanics and Instruction in France, 1800–1830.I. Grattan-Guinness - 1984 - Annals of Science 41 (1):1-33.
    An account is given of the emergence of the concept of work as a basic component of mechanics. It was largely an achievement of engineer savants in France during the Bourbon Restoration , with Navier, Coriolis and Poncelet playing the major roles. Some aspects of the eighteenth-century prehistory are described, and also concurrent developments in French engineering. The principal problem areas were friction, hydraulics, machine performance and ergonomics, and especially in the last context the developments became involved with social and (...)
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  7. Living Together and Living Apart. On the Interactions Between Mathematics and Logics From the French Revolution to the First World War.Ivor Grattan-Guinness - 1988 - South African Journal of Philosophy 7 (2):73-82.
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  8.  9
    The Ingénieur Savant, 1800–1830 A Neglected Figure in the History of French Mathematics and Science.I. Grattan-Guinness - 1993 - Science in Context 6 (2).
  9.  7
    Wiener on the Logics of Russell and Schröder.I. Grattan-Guinness - 1975 - Annals of Science 32 (2):103-132.
    In June 1913 the 18-year-old Norbert Wiener presented to Harvard University a doctoral thesis comparing the logical systems of Schröder and Russell, with special reference to their treatment of relations. Shortly afterwards he visited Russell in Cambridge and showed him a copy of the thesis. Russell wrote out some comments, to which Wiener replied.None of these documents has been published. In this paper I summarise the contents of Wiener's thesis, and describe and quote from the subsequent discussion with Russell. I (...)
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  10. The Search for Mathematical Roots 1870-1940. Logics, Set Theories and the Foundations of Mathematics from Cantor through Russell to Gödel. [REVIEW]Ivor Grattan-Guinness - 2001 - Tijdschrift Voor Filosofie 63 (4):806-808.
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  11. In Measure, Number, and Weight: Studies in Mathematics and Culture.J. Hoyrup & I. Grattan-Guinness - 1995 - Annals of Science 52 (6):623.
     
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  12.  4
    Benjamin Peirce's Linear Associative Algebra (1870): New Light on its Preparation and 'Publication'.I. Grattan-Guinness - 1997 - Annals of Science 54 (6):597-606.
  13.  6
    The Russell Archives: Some New Light on Russell's Logicism.I. Grattan-Guinness - 1974 - Annals of Science 31 (5):387-406.
    This paper describes the materials in the Russell Archives relevant to Russell's work on logic and the foundations of mathematics, and suggests the kinds of information that may and may not be drawn about the historical development of his ideas. By way of illustration, a couple of episodes are described. The first concerns a logical system closely related to his theory of denoting, which preceeds the system used in Principia mathematics, while the second describes a delay in publishing the second (...)
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  14.  30
    Georg Cantor's Influence on Bertrand Russell.I. Grattan-Guinness - 1980 - History and Philosophy of Logic 1 (1-2):61-93.
  15.  26
    Psychology in the Foundations of Logic and Mathematics: The Cases of Boole, Cantor and Brouwer.I. Grattan-Guinness - 1982 - History and Philosophy of Logic 3 (1):33-53.
    In this paper I consider three mathematicians who allowed some role for menial processes in the foundations of their logical or mathematical theories. Boole regarded his Boolean algebra as a theory of mental acts; Cantor permitted processes of abstraction to play a role in his set theory; Brouwer took perception in time as a cornerstone of his intuitionist mathematics. Three appendices consider related topics.
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  16.  1
    Does the History of Science Treat of History of Science? The Case of Mathematics.Ivor Grattan-Guinness - 1990 - History of Science 28 (80):149-173.
  17.  5
    Russell's Logicism [review of Stefano Donati, I fondamenti della matematica nel logicismo di Bertrand Russell].I. Grattan-Guinness - 2004 - Russell: The Journal of Bertrand Russell Studies 24 (2).
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  18.  17
    Reviews of Stephen Read, Philosophie der Logik. Eine Einführung, Übersetzt von Martin Suhr. Reinbek Bei Hamburg:Rowohlt Taschenbuch Verlag GmbH, 1997. 312 Pp, 26.90 DM Peter Millican and Andy Clark , Machines and Thought—the Legacy of Alan Turing, I, Introduction by P. Millican. Oxford:Clarendon Press, 1996. 297 Pp. £30.00. ISBN 0-19-823593-3 Roberto Pou and Peter M. Simons Formal Ontology. Dordrecht:Kluwer, 1996. Viii + 293 Pp. DF1 220, $135, £99. ISBN 0792 34104x Jaakko Hintikka, The Principles of Mathematics Revisited. Cambridge:Cambridge University Press, 1996. Xii + 288. No Price Stated. ISBN 0 521 49692 6 Luis Vega Renón, Una Guia de Historia de la Logica. Madrid:Universidad Nacional de Educacion a Distancia, 1996. 271 Pp. No Price Stated. ISBN 84 362 3372 7 Barry Smith, Austrian Philosophy. The Legacy of Franz Brentano. Chicago and La Salle, 111.:Open Court, 1994 . Xii + 381 Pp. No Price Stated. ISBN 0 81260 9256 X Hans Hahn, Gesammelte Abhandlungen, 3. Edited by L. Schmetterer. [REVIEW]Helge Rückert, N. Finnemann, Wolfe Mays & I. Grattan-Guinness - 1997 - History and Philosophy of Logic 18 (4):233-243.
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  19.  40
    Bertrand Russell on His Paradox and the Multiplicative Axiom. An Unpublished Letter to Philip Jourdain.Ivor Grattan-Guinness - 1972 - Journal of Philosophical Logic 1 (2):103 - 110.
  20.  3
    Dear Russell--Dear Jourdain.I. Grattan-Guinness - 1979 - Mind 88 (352):604-607.
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  21.  17
    Towards a Biography of Georg Cantor.I. Grattan-Guinness - 1971 - Annals of Science 27 (4):345-391.
    The great influence of Georg Cantor's theory of sets and transfinite arithmetic has led to a considerable interest in his life. It is well known that he had a remarkable and unusual personality, and that he suffered from attacks of mental illness; but the ‘popular’ account of his life is richer in falsehood and distortion than in factual content. This paper attempts to correct these misrepresentations by drawing on a wide variety of manuscript sources concerning Cantor's life and career, including (...)
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  22.  18
    A Survey of the Life of Hugh MacColl (1837-1909).Michael Astroh, Ivor Grattan-Guinness & Stephen Read - 2001 - History and Philosophy of Logic 22 (2):81-98.
    The Scottish logician Hugh MacColl is well known for his innovative contributions to modal and nonclassical logics. However, until now little biographical information has been available about his academic and cultural background, his personal and professional situation, and his position in the scientific community of the Victorian era. The present article reports on a number of recent findings.
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  23.  47
    Vida En Común, Vidas Separadas. Sobre Las Interacciones Entre Matematicas Y Lógicas Desde la Revolución Francesa Hasta la Primera Guerra Mundial [Living Together and Living Apart. On the Interactions Between Mathematics and Logics From the French Revolution to the First World War].Ivor Grattan-Guinness - 1997 - Theoria 12 (1):13-37.
    Este artículo presenta un alnplio panorama histórico de las conexiones existentes entre ramas de las matematícas y tipos de lógica durante el periodo 1800-1914. Se observan dos corrientes principales,bastante diferentes entre sí: la lógica algebraica, que hunde sus raíces en la logique yen las algebras de la época revolucionaria francesa y culmina, a través de Boole y De Morgan, en los sistemas de Peirce y de Schröder; y la lógica matematíca, que tiene una fuente de inspiraeión en el analisis matemático (...)
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  24. George Boole Selected Manuscripts on Logic and its Philosophy.George Boole, I. Grattan-Guinness & Gérard Bornet - 1997
     
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  25.  1
    Does History of Science Treat of the History of Science? The Case of Mathematics.I. Grattan-Guinness - 1990 - History of Science 28 (2):149-173.
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  26.  16
    Mathematics and Symbolic Logics: Some Notes on an Uneasy Relationship.I. Grattan-Guinness - 1999 - History and Philosophy of Logic 20 (3-4):159-167.
    Symbolic logics tend to be too mathematical for the philosophers and too philosophical for the mathematicians; and their history is too historical for most mathematicians, philosophers and logicians. This paper reflects upon these professional demarcations as they have developed during the century.
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  27.  17
    Achilles Is Still Running.I. Grattan-Guinness - 1974 - Transactions of the Charles S. Peirce Society 10 (1):8 - 16.
  28.  6
    Bertrand Russell's Logical Manuscripts: An Apprehensive Brief.I. Grattan-Guinness - 1985 - History and Philosophy of Logic 6 (1):53-74.
    Among the papers left by Bertrand Russell (1872?1970) and now held at the Russell Archives at McMaster University, is a large quantity of material on mathematical logic and the foundations of mathematics. This paper is a provisional survey of their extent and content. Some indications are given of their historical significance, and a discussion is added to the possible modes of their publication in the edition of Russell's Collected papers, currently in progress.
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  29.  11
    Counting the Notes: Numerology in the Works of Mozart, Especially Die Zauberflöte.I. Grattan-Guinness - 1992 - Annals of Science 49 (3):201-232.
    A non-standard contribution to Mozart's bicentenary year is made by showing that he was a refined numerologist, especially in the opera Die Zauberflöte , but also in some other works of his maturity. An extensive analysis of this opera is furnished, showing that the numerology is evident not only in the structure of the work and the design of melodies and repetitions of musical and literary motives, but even in the timing and staging of the first performance. The numerology is (...)
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  30.  18
    Fuzzy Membership Mapped Onto Intervals and Many-Valued Quantities.I. Grattan-Guinness - 1976 - Zeitschrift fur mathematische Logik und Grundlagen der Mathematik 22 (1):149-160.
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  31. Lorenzo Magnani, Philosophy and Geometry: Theoretical and Historical Issues. Western Ontario Series in Philosophy of Science. Dordrecht, Boston and London: Kluwer Academic Publishers, 2001. Pp. XIX+249. Isbn 0-7923-6933-5. £59.00, $88.00. [REVIEW]I. Grattan-Guinness - 2002 - British Journal for the History of Science 35 (2).
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  32.  28
    On Popper's Use of Tarski's Theory of Truth.I. Grattan-Guinness - 1984 - Philosophia 14 (1-2):129-135.
  33. Berkeley's Criticism of the Calculus as a Study in the Theory of Limits.I. Grattan-Guinness - 1969 - Janus 56:215--227.
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  34.  34
    A New–Old Characterisation of Logical Knowledge.Ivor Grattan-Guinness - 2012 - History and Philosophy of Logic 33 (3):245 - 290.
    We seek means of distinguishing logical knowledge from other kinds of knowledge, especially mathematics. The attempt is restricted to classical two-valued logic and assumes that the basic notion in logic is the proposition. First, we explain the distinction between the parts and the moments of a whole, and theories of ?sortal terms?, two theories that will feature prominently. Second, we propose that logic comprises four ?momental sectors?: the propositional and the functional calculi, the calculus of asserted propositions, and rules for (...)
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  35.  4
    Cottage Industry or Ghetto? The British Society for the History of Mathematics, 1971–1992.I. Grattan-Guinness - 1993 - Annals of Science 50 (5):483-490.
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  36.  36
    The Evolution of Logic - By W. D. Hart.I. Grattan-Guinness - 2011 - Theoria 77 (3):282-283.
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  37. Are Other Logics Possible? Maccoll’s Logic And Some English Reactions, 1905 –1912.Ivor Grattan-Guinness - 1998 - Nordic Journal of Philosophical Logic 3:1-16.
  38. Karl Popper for and Against Bertrand Russell.I. Grattan-Guinness - 1998 - Russell: The Journal of Bertrand Russell Studies 18 (1).
     
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  39.  1
    University Mathematics at the Turn of the Century Unpublished Recollections of W. H. Young.I. Grattan-Guinness - 1972 - Annals of Science 28 (4):369-384.
  40. How Did Russell Write The Principles of Mathematics?I. Grattan-Guinness - 1996 - Russell: The Journal of Bertrand Russell Studies 16 (2).
     
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  41. How Did Russell Write The Principles of Mathematics?I. Grattan-Guinness - 1996 - Russell: The Journal of Bertrand Russell Studies 16 (2).
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  42. `I Never Felt Any Bitterness': Alys Russell's Interpretation of Her Separation From Bertie.I. Grattan-Guinness - 1996 - Russell: The Journal of Bertrand Russell Studies 16 (1).
     
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  43.  2
    Russell's Logicism Versus Oxbridge Logics, 1890-1925.I. Grattan-Guinness - 1985 - Russell: The Journal of Bertrand Russell Studies 5 (2).
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  44.  13
    Kurt Gödel. Collected Works. Volume 1, Publications 1929–1936. [REVIEW]I. Grattan-Guinness - 1987 - British Journal for the History of Science 20 (2):223-223.
  45.  8
    A Mathematical Union: William Henry and Grace Chisholm Young.I. Grattan-Guinness - 1972 - Annals of Science 29 (2):105-185.
  46. Russell and Karl Popper: Their Personal Contacts.I. Grattan-Guinness - 1992 - Russell: The Journal of Bertrand Russell Studies 12 (1):3.
     
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  47.  6
    Russell and Jourdain: An Exchange.Dora Russell & I. Grattan-Guinness - 1989 - Russell: The Journal of Bertrand Russell Studies 9.
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  48.  5
    Letters to the Editor.I. Grattan-Guinness, Ben-Ami Scharfstein & Peter Loptson - 1983 - History and Philosophy of Logic 4 (1-2):221-224.
    One of the books submitted for review to this journal was B.?A. Scharfstein's The philosophers: their lives and the nature of their thought (1980, Oxford). Although not explicitly concerned with logic, it raised various questions for history and historiography (possibilities for psycho-history, for example). Thus I sought a review, which was written by P. Loptson and published in volume 3 (1982), 105?107. The ensuing correspondence has been edited for publication by me, with the authors? approval.
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  49.  23
    An Early History of Recursive Functions and Computability From Gödel to Turing.I. Grattan-Guinness - 2012 - History and Philosophy of Logic 33 (2):191 - 191.
    History and Philosophy of Logic, Volume 33, Issue 2, Page 191, May 2012.
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  50.  11
    Benjamin Peirce's Linear Associative Algebra (1870): New Light on its Preparation and 'Publication' In Fond Memory of Max H. Fisch (1900–95). [REVIEW]I. Grattan-Guinness - 1997 - Annals of Science 54 (6):597-606.
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