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I. Grattan-Guinness [194]Ivor Grattan-Guinness [38]
  1. I. Grattan-Guinness (2004). Karl Popper and the 'the Problem of Induction': A Fresh Look at the Logic of Testing Scientific Theories. [REVIEW] Erkenntnis 60 (1):107-120.
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  2.  3
    I. Grattan-Guinness (2006). The Russell Archives: Some New Light on Russell's Logicism. 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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  3.  8
    I. Grattan-Guinness (2011). Omnipresence, Multipresence and Ubiquity: Kinds of Generality in and Around Mathematics and Logics. [REVIEW] 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.  1
    I. Grattan-Guinness (2006). Work for the Workers: Advances in Engineering Mechanics and Instruction in France, 1800–1830. 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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  5.  1
    I. Grattan-Guinness (1977). Dear Russell, Dear Jourdain: A Commentary on Russell's Logic, Based on His Correspondence with Philip Jourdain. Columbia University Press.
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  6.  14
    I. Grattan-Guinness (1976). Fuzzy Membership Mapped Onto Intervals and Many-Valued Quantities. Zeitschrift fur mathematische Logik und Grundlagen der Mathematik 22 (1):149-160.
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  7.  6
    I. Grattan-Guinness (1991). The Correspondence Between George Boole and Stanley Jevons, 1863–1864. 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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  8. Ivor Grattan-Guinness (1988). Living Together and Living Apart. On the Interactions Between Mathematics and Logics From the French Revolution to the First World War. South African Journal of Philosophy 7 (2):73-82.
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  9.  17
    I. Grattan-Guinness (1998). Discussion. Structural Similarity of Structuralism? Comments on Priest's Analysis of the Paradoxes of Self-Reference. 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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  10.  2
    I. Grattan-Guinness (1997). Benjamin Peirce's Linear Associative Algebra (1870): New Light on its Preparation and 'Publication'. Annals of Science 54 (6):597-606.
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  11.  5
    I. Grattan-Guinness (1975). Wiener on the Logics of Russell and Schröder. 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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  12.  23
    I. Grattan-Guinness (1980). Georg Cantor's Influence on Bertrand Russell. History and Philosophy of Logic 1 (1-2):61-93.
  13.  40
    Ivor Grattan-Guinness (1997). 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]. 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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  14.  33
    Ivor Grattan-Guinness (1972). Bertrand Russell on His Paradox and the Multiplicative Axiom. An Unpublished Letter to Philip Jourdain. Journal of Philosophical Logic 1 (2):103 - 110.
  15.  23
    I. Grattan-Guinness (1982). Psychology in the Foundations of Logic and Mathematics: The Cases of Boole, Cantor and Brouwer. 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.  2
    I. Grattan-Guinness (1979). Dear Russell--Dear Jourdain. Mind 88 (352):604-607.
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  17.  11
    I. Grattan-Guinness (1997). Benjamin Peirce's Linear Associative Algebra (1870): New Light on its Preparation and 'Publication' In Fond Memory of Max H. Fisch (1900–95). [REVIEW] Annals of Science 54 (6):597-606.
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  18.  32
    Ivor Grattan-Guinness (2012). A New–Old Characterisation of Logical Knowledge. 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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  19.  11
    Michael Astroh, Ivor Grattan-Guinness & Stephen Read (2001). A Survey of the Life of Hugh MacColl (1837-1909). 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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  20.  8
    I. Grattan-Guinness (1971). Towards a Biography of Georg Cantor. 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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  21. George Boole, I. Grattan-Guinness & Gérard Bornet (1997). George Boole Selected Manuscripts on Logic and its Philosophy. Monograph Collection (Matt - Pseudo).
     
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  22.  35
    I. Grattan-Guinness (2011). The Evolution of Logic - By W. D. Hart. Theoria 77 (3):282-283.
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  23.  13
    I. Grattan-Guinness (1999). Mathematics and Symbolic Logics: Some Notes on an Uneasy Relationship. 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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  24.  7
    I. Grattan-Guinness (1993). The Ingénieur Savant, 1800–1830 A Neglected Figure in the History of French Mathematics and Science. Science in Context 6 (2).
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  25.  6
    I. Grattan-Guinness (1992). Counting the Notes: Numerology in the Works of Mozart, especiallyDie Zauberflöte. 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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  26.  12
    I. Grattan-Guinness (1974). Achilles Is Still Running. Transactions of the Charles S. Peirce Society 10 (1):8 - 16.
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  27.  5
    I. Grattan-Guinness (1985). Bertrand Russell's Logical Manuscripts: An Apprehensive Brief. 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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  28.  3
    I. Grattan-Guinness (1993). Cottage Industry or Ghetto? The British Society for the History of Mathematics, 1971–1992. Annals of Science 50 (5):483-490.
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  29.  22
    I. Grattan-Guinness (1984). On Popper's Use of Tarski's Theory of Truth. Philosophia 14 (1-2):129-135.
  30.  1
    Ivor Grattan-Guinness (1990). Does the History of Science Treat of History of Science? The Case of Mathematics. History of Science 28 (80):149-173.
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  31. I. Grattan-Guinness (1969). Berkeley's Criticism of the Calculus as a Study in the Theory of Limits. Janus 56:215--227.
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  32. Ivor Grattan-Guinness (1998). Are Other Logics Possible? Maccoll’s Logic And Some English Reactions, 1905 –1912. Nordic Journal of Philosophical Logic 3:1-16.
     
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  33. I. Grattan-Guinness (1998). Karl Popper for and Against Bertrand Russell. Russell 18 (1).
     
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  34.  1
    I. Grattan-Guinness (2015). Joseph Mazur.Enlightening Symbols: A Short History of Mathematical Notation and Its Hidden Powers. Xxiii + 285 Pp., Illus., Tables, Apps., Bibls., Index. Princeton, N.J./Oxford: Princeton University Press, 2014. $29.95. [REVIEW] Isis 106 (2):425-426.
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  35. I. Grattan-Guinness (1996). How Did Russell Write The Principles of Mathematics? Russell 16 (2).
     
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  36. I. Grattan-Guinness (1996). `I Never Felt Any Bitterness': Alys Russell's Interpretation of Her Separation From Bertie. Russell 16 (1).
     
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  37. I. Grattan-Guinness (1972). University Mathematics at the Turn of the Century Unpublished Recollections of W. H. Young. Annals of Science 28 (4):369-384.
  38.  17
    I. Grattan-Guinness (2002). Re-Interpreting 'Λ': Kempe on Multisets and Peirce on Graphs, 1886-1905. Transactions of the Charles S. Peirce Society 38 (3):327 - 350.
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  39.  4
    I. Grattan-Guinness (1977). History of Science Journals: ‘To Be Useful, and to the Living’? Annals of Science 34 (2):193-202.
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  40.  4
    I. Grattan-Guinness (1987). Kurt Gödel. Collected Works. Volume 1, Publications 1929–1936. [REVIEW] British Journal for the History of Science 20 (2):223-223.
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  41. I. Grattan-Guinness (1992). Russell and Karl Popper: Their Personal Contacts. Russell 12 (1):3.
     
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  42.  8
    Ivor Grattan-Guinness (2011). Was Hugh MacColl a Logical Pluralist or a Logical Monist? A Case Study in the Slow Emergence of Metatheorising. Philosophia Scientiae 15:189-203.
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  43.  7
    I. Grattan-Guinness (1972). A Mathematical Union: William Henry and Grace Chisholm Young. Annals of Science 29 (2):105-185.
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  44.  22
    Ivor Grattan-Guinness (2008). Levels of Criticism: Handling Popperian Problems in a Popperian Way. [REVIEW] Axiomathes 18 (1):37-48.
    Popper emphasised both the problem-solving nature of human knowledge, and the need to criticise a scientific theory as strongly as possible. These aims seem to contradict each other, in that the former stresses the problems that motivate scientific theories while the one ignores the character of the problems that led to the formation of the theories against which the criticism is directed. A resolution is proposed in which problems as such are taken as prime in the search for knowledge, and (...)
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  45.  3
    I. Grattan-Guinness, Ben-Ami Scharfstein & Peter Loptson (1983). Letters to the Editor. 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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  46.  6
    I. Grattan-Guinness (2003). Mathematics in and Behind Russell's Logicism and its Reception'. In Nicholas Griffin (ed.), Bulletin of Symbolic Logic. Cambridge University Press 51.
  47.  14
    Ivor Grattan-Guinness (1996). New Archival Source on the Publications of Wittgenstein'stractatus. Axiomathes 7 (3):435-436.
  48.  12
    I. Grattan-Guinness (2012). An Early History of Recursive Functions and Computability From Gödel to Turing. 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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  49.  3
    I. Grattan-Guinness (1994). Some Numerological Features of Beethoven's Output. Annals of Science 51 (2):103-135.
    It is argued that Beethoven used a system of numbers to guide aspects of many of his works, especially major ones. The numbers manifest themselves in the number of notes in a melody and/or of bars in a work or part of it, in groupings and numberings of works of a given kind, and in his deliberate choice of Opus numbers. They are not only small ones such as 3 , which of course turn up frequently anyway; larger ones are (...)
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  50.  3
    Helge Rückert, N. Finnemann, Wolfe Mays & I. Grattan-Guinness (1997). 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] History and Philosophy of Logic 18 (4):233-243.
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