no .. that is like using English v/s French .. Base 64 takes around 33 % more space but it has other benefits such as human expressibility .. to some extent ..
The first order of compression is when we agree on the means of communication - English for example .. The next order of compression is solidifyig the language accuracy with Math ... both Binary and Base64 are mathematical expressions of human languages
Issue is I am convinced that human language is not something strict unlike math. If calling human language a compression (assuming that some specific piece of information in our brain consumes X*N bytes and language is X*N/C where X, N and C are positive real numbers), it is a lossy algorithm.
You are talking about representation of language in mathematical terms .. you expression is a proof that human laguage can be further compressed through mathematics ..
I am talking about a sitauation before math .. like before we invented a human language ... how would someone communicate the information that there was a lion in the bush .. they will literally need to go the bush ... and then act it out ... and most prolly get killed by the lion in the the process ..
So human language ( encodes) massive information .. that is exactly why we can get so much more done v/s other speccies who dont have such developed language ...
Math further refines our language ... to remove all anomolies of communication .. so that we can tell exactly what we mean when we say 2 + 2 is 4 ...
All computing languages depend heavily on math ... because without a number system (Binary or Hex) computers can't do anything
But what about same abstract idea in our brain being represented in different way using same language (English for example) assuming that all individuals speak the language at the same level? Don't you find this redundant?
Absolutely ... our language is still not mature enough to represent abstract ( non physical things) ... In fact we can use math to improve our ability to express abstract ... but that is beyond most humans ...
I think functional programming and specifically Haskell are an attempts of this
Yes ... but they will not become mainstream ( like English) because only a very small subset of humans are comfortable with math ... the computer languages need to be like English .. not the otherway around ...
