Abstract
This chapter proposes that Hegel’s theory of modality, found in the “Actuality” chapter of Science of Logic, contributes to an analysis of the incompossibility problem in Leibniz. The incompossibility problem arises in Leibniz from an inconsistency between the immanent character of this compossible world and the transcendent character of alternative possible worlds. On the one hand, this chapter recognizes the reasons why Leibniz would not have accepted the theory that incompossible worlds exist within this world. However, by establishing Hegel’s argument for why all possibilities must exist, through the interaction between two conceptions of possibility, this chapter claims that Hegel’s revision of Leibniz avoids some of the problems that Leibniz’s modal ontology faces.
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Notes
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- 2.
I realize that Spinoza scholars might find this reading of Spinoza to be superficial and in ways inaccurate. My intention is only to present the interpretation of Spinoza that Leibniz and debates about Leibniz have relied upon in order to develop their own arguments and objections. Whether Leibniz has accurately portrayed Spinoza or not goes beyond the scope of this analysis.
- 3.
Leibniz, Philosophical Papers and Letters, 662 [24].
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- 5.
Leibniz defines world as “the whole succession and the whole agglomeration of all existent things.” TH 132 [27].
- 6.
If all possible relations are compossible, “the compossible relation threatens to become trivial, that is, the individual concepts C1 and C2 are compossible if and only if C1 is possible and C2 is possible, in which case there is only one possible world, a world of maximum disharmony.” Earman, “Perceptions and Relations in the Monadology,” 220 [12]. Also see the discussion of this in Brown, “Compossibility, Harmony, and Perfection in Leibniz,” 180 [5].
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Brown, “Compossibility, Harmony, and Perfection in Leibniz,” 179 [5].
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McDonough, “Leibniz and the Puzzle of Incompossibility: The Packing Strategy,” 137–140 [34].
- 9.
As we will see from my claims about Hegel’s revisions of the incompossibility problem, I do not think that the logical interpretation can establish the maximization thesis well either, since it ultimately excludes a huge vista of possibility, that is, the possibility of actualizing contraries.
- 10.
Rescher, On Leibniz, 27–30 [35].
- 11.
Brown, “Compossibility, Harmony, and Perfection in Leibniz,” 195–199 [5].
- 12.
McDonough, “Leibniz and the Puzzle of Incompossibility: The Packing Strategy,” 145–146 [34].
- 13.
McDonough, “Leibniz and the Puzzle of Incompossibility: The Packing Strategy,” 152–153 [34].
- 14.
There are by now many excellent commentaries of Hegel’s “Actuality” chapter [21]. The commentaries that I have found especially helpful include Burbidge’s Hegel’s Systematic Contingency [6], Di Giovanni’s “The Category of Contingency in the Hegelian Logic,” [11] Henrich’s “Hegels Theorie über den Zufall,” [16] Houlgate’s “Necessity and Contingency in Hegel’s Science of Logic,”[21] Lampert’s “Hegel on Contingency, or, Fluidity and Multiplicity,” [23] and Yeomans’ Freedom and Reflection [38].
- 15.
Hegel, Encyclopedia Logic, 220 [15].
- 16.
For an explanation of the “axiom of possibility,” see Hughes and Cresswell, A New Introduction to Modal Logic, 28 [22].
- 17.
Deleuze, Bergsonism, 51–72 [9].
Bibliography
Aristotle. 1984. The Complete Works of Aristotle: Volume 1. Ed. J. Barnes. Princeton: Princeton University Press.
Aristotle. 1984. The Complete Works of Aristotle: Volume 2. Ed. J. Barnes. Princeton: Princeton University Press.
Blumenfeld, David. 1973. Leibniz’s Theory of the Striving Possibles. Studia Leibnitiana 5(2):163–177.
Borges, Jorge Luis. 1962. Labyrinths. New York: New Directions.
Brown, Gregory. 1987. Compossibility, Harmony, and Perfection in Leibniz. Philosophical Review 96:172–203.
Burbidge, John W. 2007. Hegel’s Systematic Contingency. New York: Palgrave Macmillan.
Cover, J.A., and J. O’Leary-Hawthorne. 1999. Substance and Individuation in Leibniz. Cambridge: Cambridge University Press.
Deleuze, Gilles. 1990. The Logic of Sense. Trans. M. Lester. New York: Columbia University Press.
Deleuze, Gilles. 1991. Bergsonism. Trans. H. Tomlinson and B. Habberjam. New York: Zone Books.
Deleuze, Gilles. 1993. The Fold: Leibniz and the Baroque. Trans. T. Conley. Minneapolis: University of Minnesota Press.
Di Giovanni, George. 1980. The Category of Contingency in the Hegelian Logic. In Art and Logic in Hegel’s Philosophy, Ed. W. E. Steinkraus. Atlantic Highlands: Humanities.
Earman, John. 1977. Perceptions and Relations in the Monadology. Studia Leibnitiana 9(2):212–230.
Fitting, M., and R. L. Mendelsohn. 1998. First-Order Modal Logic. Dordrecht: Kluwer Academic.
Hacking, Ian. 1982. A Leibnizian Theory of Truth. In Leibniz: Critical and Interpretative Essays, Ed. M. Hooker. Minneapolis: University of Minnesota Press.
Hegel, Georg Wilhelm Friedrich. 1991. The Encyclopeadia Logic. Trans. T. F. Geraets, W. A. Suchting, and H. S. Harris. Indianapolis: Hackett Publishing.
Henrich, Dieter. 1971. Hegel im Kontext. Frankfurt: Suhrkamp.
Hintikka, Jaakko. 1972. Leibniz on Plenitude, Relations, and the ‘Reign of Law’. In Leibniz: A Collection of Critical Essays, Ed. H. G. Frankfurt. Garden City: Doubleday.
Hegel, Georg Wilhelm Friedrich. 1969. Science of Logic. Trans. A. V. Miller. Amherst: Humanity Books.
Hegel, Georg Wilhelm Friedrich. Werke in zwanzig Bänden. Frankfurt am Main: Suhrkamp Verlag.
Hegel, Georg Wilhelm Friedrich. 2010. The Science of Logic. Trans. G. Giovanni. Cambridge: Cambridge University Press.
Houlgate, Stephen. 1995. Necessity and Contingency in Hegel’s Science of Logic. Owl of Minerva 27:37–49.
Hughes, G. E, and M. J Cresswell. 1996. A New Introduction to Modal Logic. London: Routledge.
Lampert, Jay. 2005. Hegel on Contingency, or, Fluidity and Multiplicity. Bulletin of the Hegel Society of Great Britain 51(2):74–82.
Leibniz, Gottfried Wilhelm. 1956. Philosophical Papers and Letters. Trans. L. E. Loemker. Chicago: Chicago University Press.
Leibniz, Gottfried Wilhelm. 1989. Philosophical Essays. Trans. D. Garber and R. Ariew. Indianapolis: Hackett Publishing.
Leibniz, Gottfried Wilhelm. 1994. Writings on China. Trans. D. J. Cook and H. Rosemont, Jr. Chicago: Open Court.
Leibniz, Gottfried Wilhelm. 2007. Theodicy. Trans. E. M. Huggard. BiblioBazaar.
Leibniz, Gottfried Wilhelm. 2012. Discourse on Metaphysics and Other Writings. Ed. P. Loptson. Toronto: Broadview Editions.
Lewis, David. 1986. On the Plurality of Worlds. Malden: Blackwell Publishing.
Longuenesse, Béatrice. 2007. Hegel’s Critique of Metaphysics. Trans. N. J. Simek. New York: Cambridge University Press.
Lovejoy, Arthur O. 1936. The Great Chain of Being. Cambridge: Harvard University Press.
Marcuse, Herbert. 1987. Hegel’s Ontology and the Theory of Historicity. Trans. S. Benhabib. Cambridge: MIT.
Mates, Benson. 1972. Leibniz on Possible Worlds. In Leibniz: A Collection of Critical Essays, Ed. H. G. Frankfurt. Garden City: Doubleday.
McDonough, Jeffrey K. 2010. Leibniz and the Puzzle of Incompossibility: The Packing Strategy. Philosophical Review 119:135–163.
Rescher, Nicholas. 2013. On Leibniz. Pittsburgh: University of Pittsburgh Press.
Russell, Bertrand. 1900. The Philosophy of Leibniz. London: Routledge.
Spinoza, Baruch. 1995. The Ethics. Trans. S. Shirley. Indianapolis: Hackett Publishing.
Yeomans, Christopher. 2012. Freedom and Reflection: Hegel and the Logic of Agency. Oxford: Oxford University Press.
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Brown, N. (2016). Transcendent and Immanent Conceptions of Perfection in Leibniz and Hegel. In: Brown, N., Franke, W. (eds) Transcendence, Immanence, and Intercultural Philosophy. Palgrave Macmillan, Cham. https://doi.org/10.1007/978-3-319-43092-8_8
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