What is the difference between a statement and sentence in mathematical logic? I have seen many (GENERAL, BEGINNER TYPE) definitions, however, the actual meaning of a sentence I have yet to find, that is non-specific to a particular domain. This would be useful since a statement is defined in terms of a sentence and is one of the first concepts I am introduced to.

In some treatments of mathematical logic where quantified variables appear in the formulas of a language, statement may refer to any formula while sentence refers specifically to a formula without free variables (i.e. variables not bound by a quantifier). So a statement may say something about particular objects under an interpretation of the free variables, while a sentence makes a "general" statement independent of the interpretation of free variables (though it may still say something about particular objects which are definable in the language without parameters). However, this is just one convention for the use of the words "statement" and "sentence" and other treatments may use the words differently.
