Why Hydrochloric acid aren't classify as organic acid?

I can still remember the look of my F.4 Chemistry teacher when I ask him the question as stated in title.My thought is like this: Organic acid must related to what organism produce and secret, therefore we can assume any chemical found in any organism, that must be organic. However Hydrochloric acid is such an troubling exception to the rule. Only did later I found the accurate definition of ogranic acid as any acid contain the element of life: The all powerful Carbon. Why must they use this definition instead of mine?
Furthermore, I thought that natural is by definition resist classification, for order is what conscious mind impose to the universe.(Classification is what make conscious mind conscious.) Thus this could be taken as evidence against any variant of Intelligent Design/Creationism, since it would be difficult for any human being to imagine such an unogranized creator/designer.
Now, since inorganic substance could be produced by organic organism using mechanisms and rules of organic Chemistry, why can't we reverse the process for inorganic material to produce organic compound using inorganic Chemistry, logically speaking?

為什麼胃酸不是有機酸?

我中四時修化學提出的問題,既然胃酸是在人或哺乳類的消化器官分泌出來,為什麼它不如在生果中常見的果酸一樣,被歸類作有機酸?
此一問題一出,中四教化學的老師頓時啞口無言,後來他四處宣揚我是天才,大慨也因為此事。我後來才知道果酸被視作有機酸,因為它的化學成份有地球生命必不可少的元素:炭,炭特別的地方在於它是化學週期表第四,可化合出最大種類的化合物。
另一個想法是,有機和無機只是人類相當隨便的分類,想凡是自然過程而來的,則必不然能可清清楚楚的分類,如此是反駁智慧設計論最好的證據,因為人類意識的基礎在於分類,很難想像出如此「雜亂無章」的設計者;此外,我又想到如果有機的生物可以化合出無機的氫化氯(Hydrochloric acid),為什麼無機之物不可以用相反的過程化育出有機之物?有情孕育無情,無情自是有情!