In front of you lies a safe. Within the safe, you are aware, lie the AI-discovered secrets to solving the game of chess - indeed, every one of its complexities, all of its unknowns, implausibly reduced from the mouth of Shannon to a form comprehensible to the average human. You owe it to the world to unlock its secrets.
To open the safe, you must enter the correct single digit, 0 thru 9, on the keypad. But you only get one chance. Enter an incorrect number, and the safe will be locked forever.
On the side of the safe are written the following clues:
Nary a logical inkling may overcome vacuousness; We mercilessly oust vain epistemology. 010010000110000101101001011011000100010001000010
With the keypad at your fingertips, what digit do you enter? __