I don't know the answer in general. However, I don't think its a 'philosophic'
question, it should be an anatomic or brain thing.
I'm reading or will attempt to read an interesting book on how the mind/brain
relates to mathematical thinking.
"Where Mathematics Comes From, How the Emobodied Mind Brings Mathematics into
Being" by George Lakoff and Rafael E. Nunez
Unfortunately, on a quick browse of the book, I did not see anything that sheds
any light on the present question. I didn't even see a section on
BTW, in general I see many books jump over the topic of Uncertainty systems
such as probability or Fuzzy Sets. Seems humans are embarrased to admit that
MOST reasoning IS vague, uncertain, chance, guessing, ........
But, wouldn't the fact that brains are some kind of NN system (albeit complex),
mean there has to be forms of information granularization or clustering which
would favor uncertainty systems naturally. So, yes, humans do use 'Fuzzy'
logic and even Fuzzy probability. Perhaps we form transcendent (below
consciouse recall) concept maps with fuzzy distance functions. who knows?????
>Humans communicate with whatever precision they have available (language,
>expertise etc.) and according to a requirement. (communicating fundamental
>concepts to a beginner, complex concepts to an expert, detailed instructions
>or measures to an engineer). The thinking behind this approach is clear and
>General communication is only possible because of generalised terms. (tall,
>small, humungus, itsybitsy). Communication and understanding is improved by
>this form of compression in the same way a formula is better than one or
>more data sets. This again indicates clear and simple thinking.
>But it could be argued that the principles for effective communication and
>the basic requirements of a language were arrived at through trial and
>I think fuzzy is a useful tool or component of thinking but not a method or
>mode. I'm not sure which (tool or component) but I have precisely
>communicated my imprecision.
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