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Relative to a device to perform the understanding. A string X maximally compresses datsets Y iff X is a 'comprehending' of Y. 'OK'... but what produces and ev
by mjburgess 6y ago
Relative to a device to perform the understanding.
A string X maximally compresses datsets Y iff X is a 'comprehending' of Y.
'OK'... but what produces and evaluates X? ie., comprehension.
This is the problem with defining these terms mathematically; you state the problem in basically useless ways.
Yes, you can specify what eqn produces the mass of the higgs boson. Thats basically no guide to building the LHC.
The production of such understanding is not abstract. Comprehension isnt a relation between two binary strings;
it is an action taken in an environment with a goal.
- logicchains 6y ago>Relative to a device to perform the understanding. It uses Kolmogorov complexity, which is defined as the length of a shortest computer program in a predetermined programming language that produces the object as output. Note that this measure is relative to a programming language, not a program, and the exact choice of language doesn't matter too much. Compression means creating a smaller program that produces the same output, and to produce the same output with less code necessarily requires more understanding. As a concrete example, imagine the output is [1,2,fizz,4,buzz,fizz,7,8,fizz,buzz,11,fizz,13,14,fizzbuzz..1000). The longest program to output this would just hard-code it in the source code (much as a very inexperienced programmer might solve the problem, or a large neural net). Someone with a better understanding would write a program using iteration and the modulus operator, which would be shorter.