>>50628124High intelligence allows you to understand the very fabric of the universe (which gives telekinesis and space control), the knowledge and big brain power allows you to make unbelieveably accurate predictions (divination), self consciousness about brains makes you able to know how yo manipulate minds of others (hypnosis) and your own (feelings, telepathy). They can also apparently steal brain power of others (dream eating).
Magic isn't psychic type (or anymore isn't), Alakazam was just smart and telekinetic, hypno could hypnotise, exeggutor has telepathy and slowbro was free of disturbance like pain or need.
Light isn't psychic, it's too mach spread out over different types: solar beam (grass), flash canon (steel), photon geyser (psychic), dazzling gleam (fairy), flash (normal), signal beam (bug), power gem (rock).
