I can't tell you where you took a wrong turn, because I don't know whether you did. But I can tell you where you lost me -- i.e., where I stopped seeing how each statement was an inference drawn from its predecessors plus uncontroversial things.
The first place was when you said "This corresponds to the notion that intuitionism captures the concept of truth." How does is correspond to that? "This" is the idea that tthe territory has no errors in it, whereas the map has errors, and I don't see how you get from that to anything involving intuitionism.
... Oh, wait, maybe I do? Are you thinking of intuitionism as somehow lacking negation, so that you can only ever say things are true and never say they're false? Your "summary" paragraph seems to suggest this. That doesn't seem like it agrees with my understanding of intuitionism, but I may be missing something.
The second time you lost me was when you said "If The Map is included in The Territory [...] that neatly dovetails with the idea [...] that classical mathematics is a proper subset of intuitionistic mathematics". Isn't that exactly backwards? Intuitionistic mathematics is the subset of classical mathematics you can reach without appealing to the law of the excluded middle.
Finally, your "summary" paragraph asserts once again the correspondence you're describing, but I don't really see where you've argued for it. (This may be best viewed as just a restatement of my earlier puzzlements.)
Thank you for the response.
Regarding errors: It's not that intuitionism never turns up errors. It's that the classical approach incorporates the concept of error within the formal system itself. This is mentioned in the link I gave. There are two senses here:
Falsehood is more tightly interwoven in the formal system when following the classical approach.
Errors are more integral to the process of comparing maps to territories than the description of territories in themselves.
It is possible that these two senses are not directly comparable. My question...
If it's worth saying, but not worth its own post, then it goes here.
Notes for future OT posters:
1. Please add the 'open_thread' tag.
2. Check if there is an active Open Thread before posting a new one. (Immediately before; refresh the list-of-threads page before posting.)
3. Open Threads should start on Monday, and end on Sunday.
4. Unflag the two options "Notify me of new top level comments on this article" and "