The Epistemological Functions of Symbolization in Leibniz’s Universal Characteristic

Foundations of Science 19 (1):53-68 (2014)
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Abstract

Leibniz’s universal characteristic is a fundamental aspect of his theory of cognition. Without symbols or characters it would be difficult for the human mind to define several concepts and to achieve many demonstrations. In most disciplines, and particularly in mathematics, the mind must then focus on symbols and their combinatorial rules rather than on mental contents. For Leibniz, mental perception is most of the time too confused for attaining distinct notions and valid deductions. In this paper, I argue that the functions of symbolization differ depending upon the kind of concepts that are replaced with characters. In my view, most commentators did not sufficiently underline the distinction between two main functions of formal substitution in Leibniz’s characteristic: either increasing our knowledge or simply structuring it. In the first case, we complete our knowledge because formal substitution makes sensible and imaginary concepts more distinct. In the second case, symbolization helps to organize contents that are already conceived of by reason. Thus the process of substitution is not always identically applicable, for symbols replace different types of concepts

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Christian Leduc
Université de Montréal

References found in this work

Leibniz's philosophy of logic and language.Hidé Ishiguro - 1972 - New York: Cambridge University Press.
Sämtliche Schriften und Briefe.Gottfried Wilhelm Leibniz - 1967 - Revista Portuguesa de Filosofia 23 (4):500-501.
Leibniz's Philosophy of Logic and Language.Hidé Ishiguro - 1972 - New York: Cambridge University Press.
New essays concerning human understanding.Gottfried Wilhelm Leibniz - 2007 - In Elizabeth Schmidt Radcliffe, Richard McCarty, Fritz Allhoff & Anand Vaidya (eds.), Late modern philosophy: essential readings with commentary. Oxford: Wiley-Blackwell. pp. 293-297.
Leibniz's Philosophy of Logic and Language.Hideko Ishiguro - 1974 - Philosophy East and West 24 (3):376-378.

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