Let's be clear about this : 'being Jewish' is just a state of mind. Whether you are conventionally allowed to express this state of mind depends on various more or less bodged and fudged factors, halachic, legal, institutional, etc., but a state of mind is all it is, none the less. Compare thinking that you are really the child of extra-terrestrials : its epistemological status uis exactly the same.
Let's be clear about this : 'being Jewish' is just a state of mind. Whether you are conventionally allowed to express this state of mind depends on various more or less bodged and fudged factors, halachic, legal, institutional, etc., but a state of mind is all it is, none the less. Compare thinking that you are really the child of extra-terrestrials : its epistemological status uis exactly the same.