Are magical spells, psychic abilities, telepathy or telekinetic abilities real?
Although we see those things in books and movies, or hear stories about them, we have no credible evidence that any of those things are real.
No psychic was ever able to collect the 1 millions dollar prize from James Randi (http://www.randi.org/) by proving real psychic abilities or demonstrated it in controlled conditions. Ever.
Evidences are important and are the foundation of what we call reality.
The scientific method is comprised of the following steps:
1. Define the question
2. Gather information and resources (observe)
3. Form hypothesis
4. Perform experiment and collect data
5. Analyze data
6. Interpret data and draw conclusions that serve as a starting point for new hypothesis
7. Publish results
8. Retest (frequently done by other scientists)
For example, I can say that telepathy exists. Then, I can ask 20 self-proclaimed masters of telepathy to come in my lab. In this controlled environment, behind opaque dividers, I ask each one of them to tell me the word I just read. I compile the results and notice that none of the results are positive. I repeat that test 100 times with the same results. I then conclude that the test shows that those self-proclaimed masters of telepathy cannot do what they claim to do. I then publish my findings in a scientific magazine, where other scientists can analyze my method and my data, as well as reproduce my experiment.
If I had based my opinion on 1 or 2 positive anecdotes, without knowing the conditions of the telepathic readings, the clues the person gave to the psychic prior to the reading, the level of accuracy of the answers, the number of wrong answer that lead to the correct answer, I might think telepathy is real.
Whenever you wonder if something is real, dig deeper.