Nope, all three are different. Turpentine is a product which is distilled from pine rosin and used to be commonly used for thinning oil paints and cleanup, but it is quite pricy now. Lacquer thinner is a highly volatle solvent used primarily for thinning/removing lacquer. Paint thinner is a less volatle solvent used for cleaning oil-based paint from brushes. Paint thinner is usually synonomous with mineral spirits.