Oh. Well, it's pretty simple.I am not conversant with the exact definitions and rules applicable to information theory, so for now I occasionally ask a specific question (like about rabbits) that can probably be considered as an applied case of information theory.
Information theory can be applied to any data set. All you need is a string of variables that can take a known range of values. Once you have the size of the data set you can calculate ways to forward the same message on using as few bits as possible.
So say you get a whole bunch of phone numbers that you want to transmit by morse code. Instead of assigning all the digits 0-9 an individual code you can analyse the data and assign codes according to certain characteristics. For instance, phone numbers have area codes of certain lengths. Let's say all the area codes are two digits, zero-something. Instead of calling 09 by it's zero-nine Morse equivalent (----- ----) you could call it ---- because the receiver can be told that every first digit is zero.
Or say the area codes are only 06-09 then you could send 09 as -- because you only need two beeps to distinguish between the four possible values (06= .. 07 = .- 08 = -. 09 = --).
Thus if your receiver is informed that the first two digits of each phone number are an area code from 06,07,08,09, and how those four values are represented then you can send two beeps instead of nine.
There are several other techniques that can be applied to further reduce the input required. The greater the reduction in input the less the entropy of the data set. The uncertainty that the receiver starts with minus the uncertainty the receiver has afterward is the information transmitted.
I realise you're not very informed ( :chuckle: ) on this subject, but I'm willing to bet you can quickly understand these ideas and understand how very useful they are.
Now, can you tell us why information theory cannot be applied to the data read from DNA in ATGC form?
Actually, it has nothing to do with where the animal lives or the advantage conveyed. It has to do with the intent of the information.For the purpose of living in the forest, I agree the white fur might, in a sense, be considered “corrupted information”.
First of all, I'm not sure your example is very appropriate. White fur in rabbits is a perfectly normal attribute and need not be attributed to any mutation.But for the purpose of living in a snowy environment, the white fur is an improvement. As applied to evolution, isn’t this a case where a “corruption” of the information was beneficial?
An evolutionist cannot speak of information without undermining his own beliefs. No, corruption of information is never beneficial regardless of these sorts of side effects. Sure, white fur might be some advantage. But it can only be considered a gain of any sort if one ignores the fact that the integrity of the information has been compromised.