How is Information Measured and What Role Does Reducibility Play?

[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?

 

[sru2]

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