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Handbook of the History of Logic: - Fordham University Faculty

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698 Russell Wahl<br />

decision will <strong>the</strong>n be to avoid small harms, which are more likely. The book<br />

concludes with an early statement <strong>of</strong> Pascal’s wager argument for <strong>the</strong> rationality<br />

in believing in God. 32 For even though <strong>the</strong> above reasoning works with respect<br />

to finite things like thunderstorms, infinite goods like eternity and salvation can<br />

never be balanced against any temporal advantage (355).<br />

This discussion <strong>of</strong> probability is indeed brief, but is important, as Ian Hacking<br />

has argued, since it contains <strong>the</strong> first clear statement <strong>of</strong> <strong>the</strong> issues and <strong>the</strong> first<br />

use <strong>of</strong> quantities <strong>of</strong> probability as a guide to decision making under imperfect<br />

knowledge.<br />

BIBLIOGRAPHY<br />

[Adam and Tannery, 1964-76] C. Adam and P. Tannery (eds.). Œuvres de Descartes. 11volumes.<br />

Paris: Vrin/CNRS, 1964-76.<br />

[Arnauld, 1775-1783] A. Arnauld. Œuvres de Messire Antoine Arnauld, Docteur de la Masion<br />

et Societé de la Sorbonne. Paris: Sigismond d’Arnay & Cie., 1775-1783. 43 volumes.<br />

[Arnauld, 1683] A. Arnauld. On True and False Ideas. Elmer Kremer, translator. Lewiston, NY:<br />

Edwin Mellon Press, 1990.<br />

[Arnauld and Lancelot, 1660] A. Arnauld and C. Lancelot. Grammaire générale et raisonée.<br />

Paris: Chez Pierre le Petit, 1660. Reproduction Menston: Scholar Press, 1967.<br />

[Arnauld and Nicole, 1662] A. Arnauld and P. Nicole, La Logique ou l’art de penser. Critical<br />

edition by Clair and Girbal, Paris: PUF, 1965.<br />

[Ashworth, 1970] E. J. Ashworth. Some notes on syllogistic in <strong>the</strong> Sixteenth and Seventeenth<br />

centuries. Notre Dame Journal <strong>of</strong> Formal <strong>Logic</strong>, 9: 17–33, 1970.<br />

[Ashworth, 1974] E. J. Ashworth. Language and <strong>Logic</strong> in <strong>the</strong> Post-Mediaeval Period. Dordrecht:<br />

Reidel, 1974.<br />

[Blanché, 1970] R. Blanché. La logique et son histoire. Paris: A. Colin, 1970.<br />

[Buroker, 1993] J. V. Buroker. The Port-Royal semantics <strong>of</strong> terms. Syn<strong>the</strong>se, 96: 455–475, 1993.<br />

[Buroker, 1994] J. V. Buroker. Judgment and predication in <strong>the</strong> Port-Royal <strong>Logic</strong>. InKremer<br />

(ed.) The Great Arnauld and Some <strong>of</strong> His Philosophical Correspondents. Toronto: <strong>University</strong><br />

<strong>of</strong> Toronto Press, 1994.<br />

[Buroker, 1996a] J. V. Buroker. Arnauld on judging and <strong>the</strong> will. In Kremer (ed.), Interpreting<br />

Arnauld. Toronto: <strong>University</strong> <strong>of</strong> Toronto Press, 1996.<br />

[Buroker, 1996b] J. V. Buroker (ed. and transl.). Antoine Arnauld and Pierre Nicole. <strong>Logic</strong> or<br />

<strong>the</strong> Art <strong>of</strong> Thinking. Cambridge: Cambridge <strong>University</strong> Press, 1996.<br />

[Bochenski, 1961] I. M. Bochenski. A <strong>History</strong> <strong>of</strong> Formal <strong>Logic</strong>. Translated by I. Thomas. Notre<br />

Dame: <strong>University</strong> <strong>of</strong> Notre Dame Press, 1961.<br />

[Cottingham et al., 1985-1991] J. Cottingham, R. Stooth<strong>of</strong>f and D. Murdoch (translators). Volume<br />

3 also translated by A. Kenny. The Philosophical Writings <strong>of</strong> Descartes. 3 volumes.<br />

Cambridge: Cambridge <strong>University</strong> Press, 1985-1991.<br />

[Donnellan, 1966] K. Donnellan. Reference and definite descriptions. Journal <strong>of</strong> Philosophy, 63.<br />

1966.<br />

[Donnellan, 1978] K. Donnellan. Speaker reference, descriptions, and anaphora. In French,<br />

Uehling, Wettstein (eds.), Contemporary Perspectives in <strong>the</strong> Philosophy <strong>of</strong> Language. Minneapolis:<br />

<strong>University</strong> <strong>of</strong> Minnesota Press, pages 28-44, 1978.<br />

[Fredosso and Schuurman, 1980] A. Freddoso and H. Schuurman (translators). Ockham’s Theory<br />

<strong>of</strong> Propositions. PartII<strong>of</strong><strong>the</strong>Summa <strong>Logic</strong>ae. Nortre Dame: <strong>University</strong> <strong>of</strong> Notre Dame<br />

Press, 1980.<br />

32 Pascal’s Pensées was published (posthumously) eight years after <strong>the</strong> first edition <strong>of</strong> <strong>the</strong> Port-<br />

Royal <strong>Logic</strong>. Pascal died in 1662. [McKenna, 1986, 204–206], suggests that <strong>the</strong> argument here<br />

was presented in a lecture given by Pascal at Port-Royal in 1658, attended by Nicole. A 1660<br />

manuscript <strong>of</strong> <strong>the</strong> <strong>Logic</strong> contains <strong>the</strong> chapter on uncertain reasoning (Chapter 13), but not <strong>the</strong><br />

final chapters which mention <strong>the</strong> games <strong>of</strong> chance and <strong>the</strong> hints <strong>of</strong> <strong>the</strong> wager argument.

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