Abstract
An argument against multiply instantiable universals is considered in neglected essays by Stanislaw Lesniewski and I.M. Bochenski. Bochenski further applies Lesniewski’s refutation of universals by maintaining that identity principles for individuals must be different than property identity principles. Lesniewski’s argument is formalized for purposes of exact criticism, and shown to involve both a hidden vicious circularity in the form of impredicative definitions and explicit self-defeating consequences. Syntactical restrictions on Leibnizian indiscernibility of identicals are recommended to forestall Lesniewski’s paradox.
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References
Bochenski, J. (I. M.) (1949): On the Syntactical Categories, New Scholasticism 23, 257–280.
Bochenski, J. (I. M.) (1956): The problem of universals, in Bochenski, A. Church, N. Goodman (eds.), The Problem of Universals, Notre Dame University Press, Notre Dame, pp. 35–54
Bochenski, J. (I. M.) (1959): A Precis of Mathematical Logic, Otto Bird (trans.), D. Reidel, Dordrecht.
Bochenski, J. (I. M.) (1961): A History of Formal Logic, Ivo Thomas (trans.), Notre Dame University Press, Notre Dame.
Bochenski, J. (I. M.) (1988): Authorität, Freiheit, Glaube: Sozialphilosophische Studien, Philosophia Verlag, Munich and Vienna.
Church, A. (1941): The Calculi of Lambda-Conversion, Princeton University Press, Princeton.
Jeffrey, R. C. (1967): Formal Logic: Its Scope and Limits, McGraw-Hill, New York.
Lesniewski, S. (1913): “The Critique of the Logical Principle of the Excluded Middle,” S.J. Surma and J. Wojcik (trans.), in Surma, Srzednicki, Barnett and Rickey (eds.), I, 47–85.
Luschei, E. C. (1962): The Logical Systems of Lesniewski, North-Holland, Amsterdam.
Russell, B. (1912): The Problems of Philosophy, Oxford University Press, New York [1959].
Smullyan, R. M. (1968): First-Order Logic, Springer, New York.
Surma, S. J., Srzednicki, J. T., Barnett, D. I., Rickey, V. F. (eds.) (1992): Stanislaw Lesniewski: Collected Works. Kluwer, Dordrecht, 2 volumes.
Wittgenstein, L. (1922): Tractatus Logico-Philosophicus, in C. K. Ogden (ed.), Routledge and Kegan Paul, London.
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Jacquette, D. Bochenski on Property Identity and the Refutation of Universals. J Philos Logic 35, 293–316 (2006). https://doi.org/10.1007/s10992-005-9018-3
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DOI: https://doi.org/10.1007/s10992-005-9018-3