A core idea that I am exploring is the context principle. Traditionally, this states that a philosopher should always ask for a word's meaning in terms of the context in which it is being used, not in isolation.

I've redefined this to make it more general: Context creates meaning and in its absence there is no meaning.

And I've added the corollary: Domains can only be connected if they have contexts in common. Common contexts provide shared meaning and open a path for communication between disparate domains.

Some examples: In programming, an argument or message can be passed only if sender and receiver agree on the datatype of the argument (i.e. on how the bits should be interpreted). In Bayesian inference, all probabilities are conditional on background knowlege. In natural deduction (logic), complex sentences in simple contexts are decomposed into simple sentences in complex contexts.

In all cases, there are rules for transferring information between context and "content". But you can never completely eliminate the context. You are always left with a residual context which may take the form of assumed axioms, rules of inference, grammars, or alphabets. That is, the residual is our way of representing the simplest possible context. I think that it is an interesting research program to examine how more complex contexts can be specified using the same core machinery of axioms, alphabets, grammars, and rules.

In Bayesian inference, all probabilities are conditional on background knowlege.

Absolutely. The interpretation of the evidence depends entirely on its meaning, within the context at hand. This is why different observers can come to different conclusions given the same evidence; they have adopted different contexts.

For example: "...humans are making decisions based on how we think the world works, if erroneous beliefs are held, it can result in behavior that looks distinctly irrational."

So when we observe a person with behavior or beliefs that ... (read more)

Welcome to Less Wrong! (2010-2011)

by orthonormal 1 min read12th Aug 2010805 comments


This post has too many comments to show them all at once! Newcomers, please proceed in an orderly fashion to the newest welcome thread.