The problem with trying to construct a private language is that it can't count as a language - it can't be translated.
Only public languages can be translated.
It isn't so much that we wouldn't be able to check our rule following, as that intelligibility is conferred by public descriptions and explanations.
If I was the last human being, and was 'writing' this, I would really be saying nothing (whatever my delusions). At best, I would be acting out my own (unintelligible) nature.
Or I might be making notes for myself to read later ...
Whatever that would mean?
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