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We are stuck with it.
If we invented a more rational way to spell the English language, then all of us would need to learn two methods of reading and spelling. One to read the new material being printed, and the other to read the old material that was still in the old form. Since not everything would be translated into the new form, a great body of human knowledge would be forever lost.
That might have been true in the 17th century, but today most human knowledge is on computers. A simple computer program could convert words from irrational English to rational English. Since the grammar isn't being changed, nor are the sounds or syllabification, no meaning will be lost even in music and poetry. Students today can understand Shakespeare even though the words are spelled in very different ways than they are today. They would have even less difficulty understanding words that are spelled exactly like they sound.