Handbook of the History of Logic: - Fordham University Faculty

664 Petr Dvoˇrák
Things, which are identical with some third, are identical themselves. 42
In relational statements the terms are really distinct (discrete), not identical. Thus
Caramuel also dubs his system “discrete logic”. The most general principle of this
logic could be hypothesized as the following:
* Things, which are related to some third, are related themselves.
It is only to be regretted that Caramuel’s system remained little known and did
not exert a greater impact on the logic of his time. One could only speculate how
the discipline would unfold and what it would be like today had it been otherwise.
It is our hope that this historical injustice is remedied as time goes on and the
subtle genius of Caramuel achieves proper recognition at last.
BIBLIOGRAPHY
Caramuel’s Logical Writings
[Caramuel, 1644] Severa Argumentandi Methodus, Douai (J. Serrurier), 1644.
[Caramuel, 1651] Grammatica Audax, FrankfurtamM.(J.G.Schönwetter), 1651.
[Caramuel, 1654] Theologia Rationalis: I. Caramuelis Theologia Rationalis sive In Auream
Angelici Doctoris Summam Meditationes, Notae et Observationes Liberales, Philosophicae,
Scholasticae Tomi Duo or Theologia rationalis Grammaticam Audacem, Dialecticam Vocalem
Scriptam et Mentalem: Rectam et Obliquam: Herculeam, Metalogicamque Primam Angelici
Doctoris Partem eodem cursu et labore dilucidat, Frankfurt am M. (J. G. Schönwetter), 1654.
[Caramuel, 1989] Praecursor Logicus complectens Grammaticam Audacem (reprint), Introduction
R. Sarmiento, Stuttgart (Frommann-Holzboog), 1989.
[Caramuel, 1668] Pandoxion Physico-ethicum, cuius tomi sunt tres, primusque Logicam, secundus
Philosophiam et tertius Theologiam realiter et moraliter novo modo, et studio dilucidat...,
Campagna (Typographia Episcopali), 1668.
[Caramuel, 1680a] Moralis seu Politica Logica, Vigevano (C. Corrado), 1680.
[Caramuel, 1680b] Logica Vocalis, Scripta, Mentalis, Obliqua, Vigevano (C. Corrado), 1680.
[Caramuel, 1682] Metalogica Scholastica, Vigevano (C. Corrado), 1682.
Secondary Literature
[Ashworth, 1967] E. J. Ashworth. Joachim Jungius (1587–1657) and the Logic of Relations.
Archiv für Geschichte der Philosophie IL, 1967, 1, pp. 72-85.
[Bellazzi, 1982] P. Bellazzi. Juan Caramuel Lobkowitz, Vigevano (Buona Stampa), 1982.
[Dvoˇrák, 2006] P. Dvoˇrák. Jan Caramuel z Lobkovic: Vybrané aspekty formální a aplikované
logiky [Juan Caramuel Lobkowitz: Selected Aspects of Formal and Applied Logic], Prague
(Oikumene), 2006.
[Dvoˇrák, 2005] P. Dvoˇrák. The Logic and Semantics of Modal Propositions in Juan Caramuel.
Acta Comeniana, XLIII, 2005, 19, pp. 105-115.
create new propositions and new syllogisms.”) Ibid., p. 406: Non est animus diruere Antiquam
LOGICAM ab aliis aut etiam a nobis summo studio firmatam: sed illi Novam hanc accensere, et
numerum augere Musarum. (,,I have no intention to destroy ancient logic established by others
and also by us through greatest zeal, but to add to it this new logic and to extend the number
of Muses”)
42Cf. also J. Caramuel, Theologia Moralis Fundamentalis... Frankfurt am M. 1652, Lib. I,
fund. XLV, § 1177.