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Leibniz on Properties and Individuals

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Part of the book series: Philosophical Studies Series ((PSSP,volume 51))

Abstract

The Christian idea that GOD once created the entire world literally out of nothing does not sound very reasonable or intelligible to a modern analytic philosopher. Yet a 17th century forerunner, if not founder, of analytic philosophy, Gottfried Wilhelm Leibniz, apparently did believe in this doctrine or, somewhat more exactly, in the minimally weakened doctrine that GOD created the world out of nothing plus one. Ten years ago the Stadtsparkasse Hannover brought out the following commemorative coin: In the middle of the coin we see a table with the beginning of the binary number system, enframed by samples of elementary arithmetical operations. On the top of the coin one can read the Leibnizian dictum “Omnibus ex nihilo ducendis sufficit unum”, which may be translated as ’In order to produce everything out of nothing one [thing] is sufficient’. And the whole picture is said to present a “imago creationis” is, i.e. a picture of the creation.

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Notes

  1. Das System der Leinbnizschen Logik, Berlin (de Gruyter), 1990.

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  2. GP 5, 469 = C.J. Gerhardt (Hrg.) Die philosophischen Schriften von G.W. Leibniz (Berlin, 1875–90), Vol. 5.

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  3. = Generales Inquisitiones de Analysi Notionum et Veritatum (hrg. u. ubers. v. F.

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  4. Schupp), Hamburg (Meiner), 1982.

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  5. Cf. my paper “Leibniz und die Boolesche Algebra”, Studia Leibnitiana 16 (1984), 187–203.

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  6. = Opuscules et fragments inédits de Leibniz (ed. L. Couturat), Paris 1903.

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  7. Cf. GP 7, p. 233, fn. where Leibniz explicitly claims: “Hinc detractiones possunt facere nihilum…, imo nimus nihilo”, i.e. ‘By the way of subtraction nothing…, indeed even less than nothing can be obtained’.

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  8. Cf. W. Lenzen: “Arithmetical vs. ’Real’ Addition: A Case Study of the Relations Between Logic, Mathematics, and Metaphysics in Leibniz” in N. Rescher (ed.): Leibnizian Inquiries, Lanham: University Press of America, 1989, 149–57.

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  9. A Quoted according to F. Sommers: “Frege or Leibniz?”, in M. Schirn (Hrg.) Studien zu Frege, Vol. III (Stuttgart, 1976), p. 13.

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Kevin Mulligan

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© 1992 Springer Science+Business Media Dordrecht

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Lenzen, W. (1992). Leibniz on Properties and Individuals. In: Mulligan, K. (eds) Language, Truth and Ontology. Philosophical Studies Series, vol 51. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-2602-1_12

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  • DOI: https://doi.org/10.1007/978-94-011-2602-1_12

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-5149-1

  • Online ISBN: 978-94-011-2602-1

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