Shannon's information theory and foundations of mathematics

[X.Y. Newberry]

>> It seems to me that we are confusing a syntactic notion of information
(as defined by Shannon) and a semantic one in the informal/popular senses
of ?information? and ?disinformation.?

*       Dennis  <<

This is indeed the principal confusion. The only thing that matters is how
PROBABLE disinformation is, not if the message IS disinformation. That is,
it does not matter if the message is true or false; it only matters how
probable it is. If disinformation is not probable then such a message
actually carries more information. Again, we are talking purely about the
"syntactic" notion, not about the content of the message. Less probable
message carries more information no matter what it means.

-- 
X.Y. Newberry

*There are two ways to be fooled. One is to believe what isn't true; the
other is to refuse to believe what is true.*
― Søren Kierkegaard
<https://www.goodreads.com/author/show/6172.S_ren_Kierkegaard>
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