Who Discovered the Binary System and Arithmetic? Did Leibniz Plagiarize Caramuel?

Gottfried Wilhelm Leibniz (1646–1716) is the self-proclaimed inventor of the binary system and is considered as such by most historians of mathematics and/or mathematicians. Really though, we owe the groundwork of today’s computing not to Leibniz but to the Englishman Thomas Harriot and the Spaniard Juan Caramuel de Lobkowitz (1606–1682), whom Leibniz plagiarized. This plagiarism has been identified on the basis of several facts: Caramuel’s work on the binary system is earlier than Leibniz’s, Leibniz was acquainted—both directly and indirectly—with Caramuel’s work and Leibniz had a natural tendency to plagiarize scientific works.

[1]  CSIC-Consejo Superior de Investigaciones Científicas.  Creada la primera base de datos española sobre ciencia y documentación científica , 1988 .

[2]  A. Turing.  On Computable Numbers, with an Application to the Entscheidungsproblem. , 1937 .

[3]  E. F. Harding,et al.  The Universal History of Computing: From the Abacus to the Quantum Computer , 2000 .

[4]  Ton Sales Porta.  La prehistòria de la informàtica: antecedents històrics de l'ENIAC (1946) , 1980 .

[5]  Salomon Bochner.  The Role Of Mathematics In The Rise Of Science , 1966 .

[6]  L. Bertalanffy.  General system theory : foundations, development, applications , 1977 .

[7]  Anthony John Patrick Kenny,et al.  Breve historia de la filosofía occidental , 2005 .

[8]  Guy Stock.  Wittgenstein: A Life. Young Ludwig 1889–1921 , 2009 .

[9]  Julián Velarde Lombraña.  Juan Caramuel : vida y obra , 1989 .

[10]  Alonzo Church,et al.  A note on the Entscheidungsproblem , 1936, Journal of Symbolic Logic.

[11]  L. Couturat,et al.  Opuscules et Fragments Inédits de Leibniz : Extraits des manuscrits de la Bibliothèque royale de Hanovre , 1903 .

[12]  Paul E. Ceruzzi,et al.  Computing: A Concise History , 2012 .

[13]  Florian Cajori,et al.  Leibniz, the Master-Builder of Mathematical Notations , 1925, Isis.

[14]  William Aspray,et al.  History of Binary and Other Nondecimal Numeration , 1981 .

[15]  Gerard O'Regan.  Giants of Computing , 2013, Springer London.

[16]  Antonio José Durán Guardeño,et al.  La polémica sobre la invención del cálculo infinitesimal: escritos y documentos , 2006 .

[17]  Ronald S. Calinger.  The Newtonian-Wolffian Controversy: 1740-1759 , 1969 .

[18]  L. Basso.  G. W. Leibniz, "Politische Schriften", in Id., "Sämtliche Schriften und Briefe", Vierte Reihe, Sechster Band. 1695-1697, Akademie Verlag, Berlin 2008. , 2009 .

[19]  Martin Davis,et al.  The Universal Computer: The Road from Leibniz to Turing , 2002 .

[20]  J. Lopreato,et al.  General system theory : foundations, development, applications , 1970 .

[21]  Raymond Kurzweil,et al.  Age of intelligent machines , 1990 .

[22]  Javier Cilleruelo.  El sistema binario , 1999 .

[23]  Gottfried Wilhelm Freiherr von Leibniz,et al.  Historia et origo, calculi differentialis a G.G. Leibnitio conscripta : zur zweiten Säcularfeier des Leibnizischen geburtstages aus den Handschriften der Königlichen Bibliothek zu Hannover , 1846 .

[24]  H. Everett.  "Relative State" Formulation of Quantum Mechanics , 1957 .

[25]  Gottfried Wilhelm Freiherr von Leibniz,et al.  Allgemeiner politischer und historischer Briefwechsel , 1964 .

[26]  Claude-Gaspar. sieur de Méziriac Bachet.  Problemes plaisants & délectables qui se font par les nombres , 1884 .

[27]  John William Shirley,et al.  A Source book for the study of Thomas Harriot , 1981 .

[28]  Marcelino Menéndez y Pelayo,et al.  La ciencia española , 2019 .

[29]  Heinrich A. Medicus.  A comment on the relations between Einstein and Hilbert , 1984 .

[30]  Jorge Luis Borges,et al.  Otras inquisiciones, 1937-1952 , 1966 .

[31]  Hartmut Hecht.  Gottfried Wilhelm Leibniz and the origin of the principle of least action – a never ending story , 2016 .

[32]  John W. Shirley.  Binary Numeration before Leibniz , 1951 .

[33]  M. W. W. Rouse Ball,et al.  Histoire des Mathematiques , 1909 .

[34]  Catherine Wilson.  Sämtliche Schriften und Briefe by G. W. Leibniz , 1986 .

[35]  Ludwig Wittgenstein,et al.  Culture and Value , 1970 .

[36]  R. Merton.  On the Shoulders of Giants: A Shandean Postscript , 1966 .

[37]  Jean Itard.  Cl.-G. Bachet, Problèmes plaisants et délectables qui se font par les nombres , 1960 .

[38]  L. E. J. Brouwer,et al.  Over de Grondslagen der Wiskunde , 2009 .

[39]  Mathieu Bouville,et al.  Plagiarism: Words and Ideas , 2008, Sci. Eng. Ethics.