I'm not sure if the existence of telepathy could ever be proven, but now and again many people have a strange feeling that they knew something would happen. Or they think about a person before the telephone call. And also, when two people fall in love instantly with the feeling they've always known each other. Sometimes, people have similar thoughts at the same time and laugh when they speak about it. “Snap.”
Many times, my husband says something when I've been thinking about the same subject, or I'll bring up a worry and he will tell me I must have read his mind because he was thinking about the same thing.
In the news today, I read about a family who lost touch with their dog when Hurricane Sandy battered the east coast of America in 2012. They ached for two years and then accepted their loss. Believing they would never see their old canine friend again they decided to adopt a new one.
In a bizarre coincidence, the first dog the staff at a shelter for homeless animals brought out was the very same one the couple had lost to the storm. Volunteers at the shelter said the dog always seemed as if he was waiting for someone in particular. The couple and their dog were ecstatic to be reunited.
Did the dog know they would come? Science would never be able to probe this conundrum.
Another definition of telepathy is the ability to mentally control any function the brain controls. Hearing other people's thoughts, scanning the memory of other people and sending thoughts directly to other people's minds.
Well, that's what my heroine does in the Moonstone series of novels I've written. Liliha is transported into other people's minds when they're facing a difficult problem, or on the verge of committing a crime. During that time, she acts as the inner voice, strengthening, cheering, cajoling and also preventing a bad action when necessary.