"1/0" is not nonsense - A novel way to interpret terms, such that every term is defined
Résumé
Terms, as written and read by computer programmers, algebraists or logicians, are composite names, i.e., syntactically correct sequences of proper names and variables. Although all terms are very easy to write and copy, as easy as the term is short, many seem so strange, the monster "1/0" being at the extreme, that most people consider them nonsense. Yet, they appear everywhere in specifications of computer programs. So there is at least one good reason to smooth the field down, and adopt an interpretation-procedure executing which you never fail, i.e., you always understand the term, any term.