Dear Sung et al.,

I appreciate human bias in terms of numerical scale, but I don’t think that is 
what we actually achieve by using logarithms.  If the universe of possibility 
is fractal, using a logarithm does not eliminate the problem of large numbers.  
I think the primary outcome achieved by using logarithms is that units come to 
represent proportions rather than absolute (fixed scale) amounts.  It reveals 
an aspect of scale-free form.

On Jun 3, 2018, at 10:42 AM, Sungchul Ji 
<<>> wrote:

Hi Krassimir,

I think the main reason that we express 'information'  as a logarithmic 
function of the number of choices available, n, may be because the human brain 
finds it easier to remember (and communicate and reason with)  10 than  
10000000000, or 100 than 1000000000. . . . 00000, etc.

All the best.


From: Krassimir Markov <<>>
Sent: Sunday, June 3, 2018 12:06 PM
To: Foundation of Information Science
Cc: Sungchul Ji
Subject: If always n>0 why we need log

Dear Sung,

A simple question:

If always n>0 why we need log in

I = -log_2(m/n) = - log_2 (m) + log_2(n)   (1)

Friendly greetings


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