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A mix of magic, ESP, and neurological power. Most of the time when a bear recognizes an apple it is because it waits for a different animal to look at the apple and then uses ESP to read the mind of the animal who is thinking whether it is an apple or not. If this does not work because the animal has a strong will and mind, the bear will store the apple in its rectum and teleport into a bear laboratory where it will preform complicated studies and analysis's that will decipher whether it is an apple or not.