Leibniz and Russell on Existence and Quantification Theory

Canadian Journal of Philosophy 10 (4):681 - 720 (1980)
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Abstract

Never shall this be proved, that things that are not are. ParmenidesTo say that something does not exist, or that there is something which is not, is clearly a contradiction in terms; hence “ ” must be true. Moreover, we should certainly expect leave to put any primitive name of our language for the “x” of any matrix “ … x … ”, and to infer the resulting singular statement from “ ”; it is difficult to contemplate any alternative logical rule for reasoning with names.

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References found in this work

The Principles of Mathematics.Bertrand Russell - 1903 - Revue de Métaphysique et de Morale 11 (4):11-12.
The Problems of Philosophy.Bertrand Russell - 1912 - Revue de Métaphysique et de Morale 21 (1):22-28.
Principia Mathematica.A. N. Whitehead & B. Russell - 1927 - Annalen der Philosophie Und Philosophischen Kritik 2 (1):73-75.

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