How is Information Measured and What Role Does Reducibility Play?

Thread starter precisionart
Start date May 4, 2012
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AI Thread Summary

Information measurement can vary significantly based on the method used to quantify it. In the example of sending the symbol ∏ versus a string of digits like 3.14, the perceived information content can differ depending on the context and the information theory applied. Reducibility plays a crucial role, as it relates to how complex information can be simplified or compressed. Different measures of information, such as Shannon entropy or Kolmogorov complexity, can yield different values for the same messages, highlighting the subjective nature of information assessment.

May 4, 2012

precisionart

I am curious how information is measured. For example, if i send a message with the symbol ∏ to Bob and he replies with a string of digits 3.14... Does one message have more information than the other? How does reducibility factor in?

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May 10, 2012

sru2

It depends on how you quantify information. By different measures, the value would change.

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