Shannon's information theory and foundations of mathematics

[José Manuel Rodríguez Caballero]

Dennis wrote:
>
> 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.?  Perhaps the best demonstration of the
> distinction is the employment of cryptographic ciphers that are
> semantic-preserving for those with knowledge of the keys, whether
> informative or disinformative, and something Shannon was keen about.


It depends on which kind of disinformation we are talking about. I would
like to share my classification:

Disinformation by Confusion: Agent Eve tries to convince Alice that P is
just as likely to be true as false. In this case, disinformation is the
process of increasing Shannon's entropy in Alice's worldview with respect
to P.

Disinformation by Recruitment: Agent Eve tries to convince Alice that P is
not P. In this case, there is a Shannon entropy reduction in Alice's
worldview with respect to P.

Kind regards,
Jose M.
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