DBT
Contributor
The article that peacegirl quoted, thinking it attacked compatibilism, is an actually very good explanation and demonstration of it. I highly recommend the article. All that is missing from it is the modal logical demonstration of the illogic of hard determinism, but I have already supplied that here.
It's the compatibilist definition of free will as acting according to your will without external force, coercion or undue influence that fails to make a case for compatibility.
The rationales of 'could have done differently had conditions been different, to choose any option as they present in any given moment,' etc, is irrelevant. Just more window dressing and hand waving.
Compatibilism fails because it doesn't take inner processes that fix outcomes into account. Which is just as much a problem for free will as external elements, force, coercion, undue influence.