The grandfather paradox is a paradox of time travel, supposedly first conceived by the science fiction writer René Barjavel in his book "Future times three" ("Le voyageur imprudent", 1943). Suppose you travelled back in time and killed your biological grandfather before he met your grandmother. Then you would never have been conceived, so you could not have travelled back in time after all. In that case, your grandfather would still be alive and you would have been conceived, allowing you to travel back in time and kill your grandfather, and so on. (Wikipedia)
I persume you wouldn't realise, because if it all carried on like normal, and you were still conceived, how could you know about it? Because you wouldn't have travelled back in time to kill him, so it wouldn't have happened in your conscious memory, and you can't know about something which you can't remember.