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Published online by Cambridge University Press: 05 May 2010
Consider the following argument.
(i) ‘Fa’ and ‘
a’ (or ‘-Fa’) are contradictories.
(ii) So one or other of ‘Fa’ and ‘a’ must be true.
(iii) Now ‘Fa’ entails ‘(
x)Fx’,
(iv) And ‘a’ entails ‘(x)x’,
(v) So one or other of ‘(x)Fx’ and ‘(x)x’ must be true.
(vi) But both of ‘(x)Fx’ and ‘(x)x’ say there is something.
(vii) So, either way, there is something, i.e. something exists.