What are difference between Testing and Debugging?

Testing - 

(a) Testing starts with the known conditions.
(b) Testing can and should be planned, designed and scheduled.
(c) Testing is a demonstration of errors.
(d) Testing can be done by an outsiders

Debugging-

(a) Debugging starts from unknown initial conditions and the end cannot be predicted except statistically.
(b) Procedures for debugging cannot be so constrained
(c) Debugging is a deductive process it find out exact location of errors and remove it.
(d) Debugging must be done by a person of the software company usually the programmers himself.