This needs more, because I know there's some stuff that I'm missing here, but I've got most of the basics so far, I think. Much revision coming!
Psychic Abilities and Magick
Psychic powers operate on the astral plane, while magick operates on the etheric. Magick requires some sort of ritual and use of imaginative visualization, while psychic powers are innate abilities. However, they overlap in many ways. Few can access their psychic powers without at least some ritual and visualization and few can perform magick without at least beginning to develop their own psychic abilities. Therefore, the most powerful magick would incorporate well developed psychic abilities with some form of ritual and would affect both the astral and the etheric plane and thus be more likely to affect the physical plane.
Projection of the consciousness into the astral body, and observing from the perspective of the astral plane, which lies just above the etheric plane.
In an astral projection, physical objects and places are not seen as in etheric projection. Instead one can see exact copies of them. In fact, the astral plane is said to contain exact copies of everything physical, in addition to much more. Thought here can influence manifestation and therefore one can create by will, or effect change first on this level and as a result, the physical level. Colors have been said to be more vivid, and sounds more pure.
The ability to see or sense the energy emanation or "aura" that surrounds all life forms including humans, animals, and plants.
The ability to hear things beyond the range of normal hearing.
The ability to see objects, places or events beyond the power of the range of vision, in either the past, present, or future. When the events seen are in the future the ability is called "precognition" and seeing an event after it has happened is called "retrocognition." Another form of clairvoyance called "remote viewing" involves receiving sensory information about a remote event/place in the present.
The use of objects to "divine" the future. "Scrying" involves gazing into a medium such as water or a crystal ball to see future events, "tarot" uses pictorial cards to gain future insight. Another form of divination the "ouija" board has been in use for centuries. Ouija boards can also be considered a form of mediumship where spirits are contacted.
Empathy is the ability to sense the feelings or emotions of another. Empaths (people who have the ability of empathy) receive their information usually through touch or close contact, though sometimes it has been reported over long distances with a close loved one. This has been reported in many instances with identical twins. This is not the same as mundane empathy, which is simply experiencing the most likely emotions of others upon knowledge of a situation. That is the result of being empathetic--not an empath. It's a normal ability that is hopefully developed during childhood.
Projection of the consciousness into the etheric body, and observing from the perspective of the etheric plane which lies just above the physical plane. Since in etheric projection one remains closest to the physical, the physical surroundings can be observed real-time but without the normal physical limitations.
Since the etheric body retains some influences and properties from the physical during an etheric projection, movement can sometimes be difficult and vision sometimes distorted. These symptoms usually improve over time though and with practice.
Extra Sensory Perception or ESP for short is the generalized term to describe the ability of one or more of a multitude of psychic abilities. It doesn't strictly refer to having a "feeling" that something is going to happen.
This is summoning non-physical beings, such as spirits, elementals, angels, demons, or gods. It is extremely dangerous if not done properly and can lead to an unhealthy obsession with an entity or the anger of the summoned being. This is only suggested for benign spirits, elementals, and angels.
This is the internalized version of evocation. Rather than summoning an entity into the circle, the magician channels the being through his own body. When the presence of a god or other powerful, sentient entity is required this is the safest way to do it. It's also strongly suggested that such beings be politely asked, rather than commanded.
Psychic or magickal healing takes place almost entirely on the etheric plane, but by healing the damage on this plane the damage on the physical plane because much easier to deal with. Victims of psychological or sexual abuse will often have severe damage to their etheric body, regardless of whatever damage might have been wrought to their physical one. Similarly, victims of demons, vampires, malicious fae, psychic attacks, etc. may find their etheric bodies damaged far worse than their physical bodies.
Such healing can help to protect an individual from future attacks, since a damaged etheric body makes it much easier for demonic possession or obsession to occur.
The ability to communicate with the deceased. A medium receives information from the dead through clairaudience, or sometimes in a trance as a channel for the deceased to communicate while using the medium's body.
This is a broad range of abilities, covering everything from raising oneself as a vampire to working as a medium. It is power over the dead.
Also called Telekinesis, the ability to affect matter using only the mind. Examples would be moving an object, or bending a spoon by concentrating on it.
The ability to gain knowledge--either through clairvoyance, clairaudience, or some other mode--by coming into contact with an object that is in some way associated with the event or person whom the psychomancer is trying to gain knowledge of.
The ability to control fire through psychic or ritual means. While minor manipulations are sometimes possible, any control greater than making the flame on a single candle flicker, grow, or shrink is improbable.
The ability to communicate with another person using only the mind. Some telepaths are better "receivers", meaning that they can only receive information sent by another telepath or they are better at receiving than sending. Others are better "senders", being able to send out information more than they can receive information back. Rarely, a telepath may be good at both abilities.