Why learn Sanskrit?

There are already an umpteen number of articles on the Internet on this subject: Why learn Sanskrit language? Many of them assure that Sanskrit is not a dead language and also is easily palatable by various sections in the Indian society not withstanding their political, regional, religional differences. Some of them state that since most of the Indian languages are heavily influenced by Sanskrit, it would be easy for adults and children in India to learn Sanskrit. And also the articles about research and study by NASA. They are all good and strong arguments.

But from a pure linguistic perspective, here is the summary of the reasons I have come across:

1. Rich language:
   Arguably, Sanskrit has the richest and the most beautiful literary compositions. The only other languages coming close to it in this aspect are Greek, Latin and perhaps the old Persian. All these languages appear to have originated from a common ancestor (language).
2. Impeccable structure:
   Sanskrit language is phonetic (based on sounds) and has very well-defined structure to its grammar and etymology. For this reason, it is easy for anyone, including the non-Indians, to study the language by understanding its rules. The structure also makes it fit for the logical algorithms to decipher and derive different word forms.
3. Universal:
   Though it is the oldest language, infinite and new words can be formed using its structure. This makes it practically usable and relevant forever, for any place and any time, without depending on other languages. (See: The Tale of a Car)
4. Pronunciation:
   Sanskrit is based on sounds and expects clear pronunciation of words to convey the right meaning. Practicing to correctly pronounce different letters and words brings about improvements in one's abilities to differentiate the nuances in vocal sounds.
5. Brain activation using Devanagari script:
   Devanagari script is less prone to errors as it is phonetic, has very little punctuation marks (see uttiSTha bhArata blog), no differentiation between upper case and lower case. But, additionally it is good for our brains. How? Consonants are written in left-to-right order and the vowels mixed with them are either written to the left, top, bottom or right. But while speaking, those vowels always follow consonants. Studies suggest that this needs bilateral activation-participation from both left and right hemispheres of the brain-for reading phrases in Devanagari.
   
   I would like to add another important one:
6. Holistic approach while speaking:
   Because of Sanskrit's unique constructs and ability to join sounds and words in various combinations, it is up to the speaker (or author) to make use of these constructs in his/her own way and capacity to bring about the communication with the audience. Also, the coherence needed for verb usage, adjective/nouns (विशेषण/विशेष्य) forces one to think before uttering a sentence. This needs quick coordination within the brain to assemble the proper words in their proper forms. For a new learner, this may take some time to get used to this style. But, as with any fine arts (and science), with little practice, it becomes truly enjoyable and highly satisfying experience while one's brain stops thinking by words, but starts thinking in terms of overall meaning of the message to be conveyed. Perhaps this is similar concept to the alien script in the recent movie Arrival.

References:
The Analyst Blog, Sanskrit@James UK School