(This is something I’ve been interested in for a long time and so am sharing in lieu of an actual post. Feel free to elaborate, offer an expansion, or your two cents on this, as I plan to do so in future posts. ~ Henry James Anderson)
0. Introduction
The following three propositions form an inconsistent triad:
P) I do not know that I’m not in the matrix*
Q) I know that X
R) If I know that X, then I know that I am not in the matrix
(X is to be thought of as a proposition with content about the external world, such as ‘it is 3PM’ or ‘I am wearing trousers’, etc, rather than ‘I believe it is 3PM’ or ‘I am receiving sense-data about wearing trousers’, whose content is internal to the subject.)
We can represent the logical form of the propositions as follows, where p = ‘I know I am not in the matrix’, and q = ‘I know that X’:
P) ~p
Q) q
R) q → p
There are three ways that we can formulate an argument using these propositions which generate three positions…
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