For any given problem, once a possible solution is reached, do you expect to be able to check that solution against reality with further observations? If so, you have constructed a theory with experimental implications, and are doing Science. If not, you have derived the truth, falsehood, or invalidity of a particular statement from a core set of axioms, and are doing Math.
No such thing.
For any given problem, once a possible solution is reached, do you expect to be able to check that solution against reality with further observations? If so, you have constructed a theory with experimental implications, and are doing Science. If not, you have derived the truth, falsehood, or invalidity of a particular statement from a core set of axioms, and are doing Math.