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The occult is a loosely-defined collection of quasi-religious ideas and beliefs, most revolving around ghosts, witchcraft, demons, spirits and other such woo. It can also refer to woo that is not specifically related to religion, like parapsychology and extrasensory perception. The word "occult" is believed to have originated from the Middle French occulte and Latin occultus, both meaning "hidden" or "concealed. This could be due to the idea that occult "knowledge" is known only to those with special training or powers. The term was first popularized in the 1850s by French esotericist Éliphas Lévi, who had authored many books about such woo.
While many early scientists, such as Isaac Newton, were also occultists, today's scientists mostly agree that it is a discredited pseudoscience. Notable 20th century occultists include Aleister Crowley, Gerald Gardner, and Anton LaVey. Some people do unironically believe such kooky ideas, while others merely consider them to be entertainment. Regardless, they usually end up lighter in the pocket.
An example would be paying a "psychic" (or medium) to talk to dead relatives. This is pretty silly as it puts you under the influence of charlatans and confidence tricksters. To inquire about one's future success at work or in love can be amusing, and is really no worse than cheap therapy. However, far too many have made life decisions based on the garbled obfuscations of people whose only motive is to line their pockets.
People seem to have a tremendous desire and ability to believe in the silliest things — watching the cast and guests of any episode of Ghost Hunters is evidence of this. To the skeptic, the only reason to watch is to play the "lowest IQ in this segment" competition. They are convinced that places are haunted, and are desperate to have their superstitious ideas confirmed by plumbers with a bunch of gear from
Circuit City Best Buy.
Other people, again straddling the entertainment/belief lines, are into casting spells and incantations.
Western occultism appears to have largely stuck to the Hermeticist school of thought that sprang up in the second and third centuries CE. This school of thought was a major aspect of intellectual life in Europe all the way up to Newton.
Conclusion: an inability of true reality to distinguish between an interesting metaphor and an actual description of reality — turns into an advantage. This generally happens when occultists put down their magic wands and get around to making works of art — Algernon Blackwood, Arthur Machen, Alan Moore, Grant Morrison, Neal Stephenson, Bram Stoker, Dennis Wheatley, and William Butler Yeats, for instance, have all written works in which the Hermetic tradition is a major element, or have been openly involved in occultism at some point during their lives.
Thankfully, if you are actually arguing with an adherent of occultism, you can probably safely assume they are of the former category instead of the latter, but if you inadvertently pick a fight with a member of the latter category, you may quickly find yourself getting slapped around for being way, way out of your areas of expertise.