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Kant on the Logical Form of Singular Judgements

Published online by Cambridge University Press:  30 September 2014

Huaping Lu-Adler
Huaping Lu-Adler*
Affiliation:
Georgetown University Email: hl530@georgetown.edu
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Abstract

At A71/B96–7 Kant explains that singular judgements are ‘special’ because they stand to the general ones as Einheit to Unendlichkeit. The reference to Einheit brings to mind the category of unity and hence raises a spectre of circularity in Kant’s explanation. I aim to remove this spectre by interpreting the Einheit-Unendlichkeit contrast in light of the logical distinctions among universal, particular and singular judgments shared by Kant and his logician predecessors. This interpretation has a further implication for resolving a controversy over the correlation between the logical moments of quantity (universal, particular, singular) and the categorial ones (unity, plurality, totality).

Keywords

Kantsingular judgementlogical extensionunityinfinity
Type
Articles
Information
Kantian Review , Volume 19 , Issue 3 , November 2014 , pp. 367 - 392
Copyright
© Kantian Review 2014 

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References

Allison, H. E. (2004) Kant’s Transcendental Idealism. New Haven: Yale University Press.CrossRefGoogle Scholar
Anderson, L. (2004) ‘It Adds Up After All: Kant’s Philosophy of Arithmetic in Light of the Traditional Logic’. Philosophy and Phenomenological Research, 69/3, 501–540.CrossRefGoogle Scholar
Arnauld, A. and Nicole, P. (1996) Logic or the Art of Thinking. Ed. and trans. J. V. Buroker. Cambridge: Cambridge University Press.CrossRefGoogle Scholar
Baumgarten, A. G. (1761) Acroasis logicae in Chrisianum L.B. de Wolff. Reprinted in Abl. 3 of Wolff (1983: vol. 5).Google Scholar
Bennett, J. (1996) Kant’s Analytic. Cambridge: Cambridge University Press.Google Scholar
Brandt, R. (1995) The Table of Judgement: Critique of Pure Reason A67–76; B92–101. Trans. Eric Watkins. Atascadero, CA: Ridgeview Publishing.Google Scholar
Capozzi, M., and Roncaglia., G. (2009) ‘Logic and Philosophy of Logic from Humanism to Kant’. In Leila Haaparanta (ed.), The Development of Modern Logic (Oxford: Oxford University Press), 78–158.CrossRefGoogle Scholar
Codato, L. (2008) ‘Judgement, Extension, Logical Form’. Recht und Frieden in der Philosophie Kants, 5, 139–152.Google Scholar
Crusius, C. A. (1747) Weg zur Gewiβheit und Zuverlässigkeit der menschlichen Erkenntnis. Leipzig: J. F. Gleditsch.Google Scholar
Euler, L. (1858) Letters of Euler on Different Subjects in Natural Philosophy: Addressed to a German Princess, vol. 1. Trans. H. Hunter. New York: Harper & Brothers.Google Scholar
Frede, M., and Krüger., L. (1970) ‘Über die Zuordnung der Quantitäten des Urteils und der Kategorien der Gröβe bei Kant’. Kant-Studien, 61/1, 28–49.Google Scholar
Frisch, J. (1969) Extension and Comprehension in Logic. New York: Philosophical Library.Google Scholar
Jesseph, D. M. (2013) ‘Logic and Demonstrative Knowledge’. In Peter R. Anstey (ed.), The Oxford Handbook of British Philosophy in the Seventeenth Century. Oxford: Oxford University Press), 373–390.Google Scholar
Kant, I. (1902–83) Kants gesammelte Schriften. Berlin: Walter de Gruyter.Google Scholar
Kant, I. (1998) Critique of Pure Reason. Ed. and trans. P. Guyer and A. W. Wood. Cambridge: Cambridge University Press.CrossRefGoogle Scholar
Kemp Smith, N. (1923) A Commentary to Kant’s ‘Critique of Pure Reason’. New York: Humanities Press.Google Scholar
Knutzen, M. (1747) Elementa philosophiae rationalis seu logicae. Königsberg: Hartung.Google Scholar
Krüger, L. (1968) ‘Wollte Kant die Vollständigkeit seiner Urteilstafel beweisen?’. Kant-Studien, 59/3, 333–356.Google Scholar
Lambert, J. H. (1764) Neues Organon, vol. 1. Leipzig: J. Wendler.Google Scholar
Longuenesse, B. (1998) Kant and the Capacity to Judge. Princeton, NJ: Princeton University Press.CrossRefGoogle Scholar
Lovejoy, A. (1907) ‘Kant’s Classification of the Forms of Judgements’. Philosophical Review, 16/6, 588–660.CrossRefGoogle Scholar
Lu-Adler, H. (2012) ‘Kant’s Conception of Logical Extension and Its Implications’. Ph.D. dissertation, University of California, Davis.Google Scholar
Lu-Adler, H. (2013) ‘The Objects and the Formal Truth of Kantian Analytic Judgments’. History and Philosophy Quarterly, 30/2, 177–193.Google Scholar
Michael, F. S. (1997) ‘Why Logic Became Epistemology: Gassendi, Port Royal and the Reformation in Logic’. In Patricia A. Easton (ed.), Logic and the Workings of the Mind: The Logic of Ideas and Faculty Psychology in Early Modern Philosophy (Atascadero, CA: Ridgeview), 1–20.Google Scholar
Swing, T. (1969) Kant’s Transcendental Logic. New Haven: Yale University Press.Google Scholar
Thompson, M. (1972) ‘Singular Terms and Intuitions in Kant’s Epistemology’. Review of Metaphysics, 26/2, 314–343.Google Scholar
Tonelli, G. (1966) ‘Die Voraussetzungen zur Kantischen Urteilstafel in der Logik des 18. Jahrhunderts’. In F. Kaulbach and J. Ritter (eds), Kritik und Metaphysik: Studien. Heinz Heimsoeth zum 80. Geburtstag. (Berlin: de Gruyter), 134–158.CrossRefGoogle Scholar
Wolff, C. (1740) Philosophia rationalis sive logica. Reprinted in Abl. 2 of Wolff (1983: vol. 1.2).Google Scholar
Wolff, C. (1983) Gesammelte Werke. Hildesheim: G. Olms Verlag.Google Scholar