A Companion to Hobbes. Группа авторов

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short cuts when applying particular method.25 The hierarchically ordered definitions attained by Hobbes’s method for unqualified scientific knowledge supply the principles one deduces from in particular method. The latter can be analytic2, synthetic2 or a combination of both. In the methodical pursuit of particular scientific inquiries, computation is not the generation of ordered definitions that follows analysis into universal notions but fits Hobbes’s identification of scientific knowledge with deductive reasoning.

      1 Analysis2: matter in general [materia universa] is divided into parts, e.g., object, medium and sentient or “by some other division which seems most suitable to the proposed matter [rem]” (EW I.76).

      2 Synthesis2: “Next, the individual parts are to be examined according to the definition of the subject; and those which are not capable of those accidents are to be rejected” (EW I.76).For example, we rule out the body of the sun as the subject by discovering that the sun is greater than its apparent magnitude and hence that magnitude is not in the sun; we discover this through knowledge of optics:“if the sun be in one determined straight line, and one determined distance, and the magnitude and splendor be seen in more lines and distances than one, as it is in reflection and refraction, then neither that splendour nor apparent magnitude are in the sun itself, and, therefore, the body of the sun cannot be the subject of that splendour and magnitude” (EW I.76).We rule out the air and other parts by the same reasons until we are left with the sentient as the subject of the splendor of the sun.

      1.4 Conclusion

      References

      1 Adams, Marcus P.2014. Mechanical Epistemology and Mixed Mathematics: Descartes’s Problems and Hobbes’s Unity. PhD diss., University of Pittsburgh.

      2 Adams, Marcus P.2017. “Natural Philosophy, Deduction, and Geometry in the Hobbes-Boyle Debate.” Hobbes Studies 30: 83–107.

      3 Adams, Marcus P.2019. “Hobbes’s Laws of Nature in Leviathan as aSynthetic Demonstration: Thought Experiments and Knowing the Causes.” Philosopher’s Imprint 19 (5): 1–23.

      4 Aristotle. 1984. “Nicomachean Ethics.” In The Complete Works of Aristotle, Vol. II, edited by Jonathan Barnes. Princeton: Princeton University Press.

      5 Blancanus, Josephus. 1996. “De Mathematicarum Natura Dissertatio, Appendix to Aristotelis Loca Mathematica. Translated by Gyula Klima.” In Philosophy of Mathematics and Mathematical in the Seventeenth Century,edited by Paolo Mancosu, 178–212. New York: Oxford University Press.

      6 Burgersdijk, Franco. 1626. Institutionum Logicarum Libri Duo. Leiden: Apud Abrahamum Commelinum.

      7 Duncan, Stewart. 2003. Hobbes: Metaphysics and Method. PhD diss., Rutgers University.

      8 Gabbey, Alan. 1993. “Descartes’s Physics and Descartes’s Mechanics: Chicken and Egg?” In Essays on the Philosophy and Science of Descartes, edited by Stephen Voss , 311–23. Oxford: Oxford University Press.

      9 Hanson, Donald W. 1990. “The Meaning of ‘Demonstration’ in Hobbes’s Science.” History of Political Thought 11: 587–626.

      10 Hattab, Helen. 2009. Descartes on Forms and Mechanisms. Cambridge: Cambridge University Press.

      11 Hattab, Helen. 2011. “The Mechanical Philosophy.” In The Oxford Handbook of Philosophy in Early Modern Europe, edited by Desmond Clarkeand Catherine Wilson, 124–64. Oxford: Oxford University Press.

      12 Hattab, Helen. 2014. “Hobbes’ and Zabarella’s Methods: A Missing Link.” Journal of the History of Philosophy 52 (3): 461–85.

      13 Hattab, Helen. 2019. “Descartes’ Mechanical but Not Mechanistic Physics.” In The Oxford Handbook of Descartes and Cartesianism, edited by Delphine Antoine-Mahut, Steve Nadler, and Tad Schmaltz, 124–37. Oxford: Oxford University Press.

      14 Hobbes, Thomas. 1999. De Corpore Elementorum Philosophiae Sectio Prima, edited by Karl Schuhmannand Martine Pécharman. Paris: Librairie Philosophique J. Vrin.

      15 Hobbes, Thomas. 2012. Leviathan.3 vols., edited by Noel Malcolm. Oxford: Clarendon Press. [First published 1651].

      16 Hungerland, Isabel C.and George R. Vick. 1981. “Misinterpretations of Hobbes: The Correct View.” In Thomas Hobbes Computatio Sive Logica, edited by Aloysuis P. Martinich, Isabel C. Hungerland, and George R. Vick, 15–148. New York: Abaris Books.

      17 Jesseph, Douglas. 2004. “Galileo, Hobbes, and the Book of Nature.” Perspectives on Science 12 (2): 191–211.

      18 Keckermann, Bartholomaeus. 1613. Systema Logicae. Hanover: Apud Haeredes Guilielmi Antonii.

      19 MacPherson, C.B.1968. “Introduction.” In Leviathan, edited by C.B. MacPherson, 25–9. Hammondsworth: Penguin.

      20 Prins, Johan1990. “Hobbes and the School of Padua: Two Incompatible Approaches to Science.” Archiv für Geschichte de Philosophie 72: 26–46.

      21 Röd, Wolfgang. 1970. Geometrischer Geist und Naturrecht, Methodengeschichtliche Untersuchungen zur Staatsphilosophie im 17. Und 18. Jahrhundert. Munich: Verlag der Bayerischen Akademie der Wissenschaften.

      22 Sacksteder, William. 1980. “Hobbes: The Art of the Geometricians.” Journal of the History of Philosophy 18 (2): 131–46.

      23 Sacksteder, William. 1988. “Notes and Discussions: Hobbes and Talaska on the Order of the Sciences.” Journal of the History of Philosophy 26 (4): 643–7.

      24 Schmidt-Biggemann, Wilhelm. 2001. “Die Schulphilosophie in den reformierten Territorien.” In Die Philosophie des 17.Jahrhunderts, Vol.4: Das Heilige Römische Reich Deutscher Nation Nord- und Mittelosteuropa, editedby Helmut Holzeheyand Wilhelm Schmidt-Biggemann, 390–474. Basel: Schwabe & Co AG Verlag.

      25 Schuhmann, Karl. 1987. “Methodenfragen bei Spinoza und Hobbes: Zum Problem des Einflusses.” Studia Spinoziana 3: 47–86.

      26 Sorell, Tom. 1999. Hobbes.

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