- The definition defies custom and intuition.
- The definition produces an uneasy feeling in some people.
- It would be desirable to make the function y=1/x continuous. This definition does not make the function continuous.
- The definition does not supply the expected result when examining limits of functions.
- This definition would not be solving the problem of division by zero. It would just be giving it a different name.

There are several advantages of defining division by zero:

- The field of real numbers is now closed under the operation of division.
- Division is a well-defined operation for all of
__onto__. - The function y=1/x is now a one-to-one function from
__onto__. - Many definitions and theorems can be simplified both in statement and proof.
- The definition is logically consistent with the postulates used in developing a field.
- The definition removes many undefined terms and undecidable expressions from Algebra.
- The definition is intuitively obvious to many people.

In summary, I would like to note that the symbols 1/0 are undefined for a different reason than the symbols 0*, where * is the unary operation meaning "multiplicative inverse of." The latter

Therefore, since division by zero can be defined consistent with the field
postulates, I suggest that we abolish the myth that division by zero __cannot__
be defined, and approach the problem more realistically.