Final answer:
True, pyrolytic graphite can repel either pole of a magnet and levitate, demonstrating the magician's paradox. Additionally, when a magnet breaks, each piece retains both north and south poles, as magnetic poles always come in pairs.
Step-by-step explanation:
The statement that pyrolytic graphite repels either pole of a magnet is true. This material exhibits strong diamagnetism, meaning it creates an induced magnetic field in a direction opposite to an externally applied magnetic field. As a result, it can indeed levitate above a strongly magnetized surface where the magnetic field arrangement is such that it can support the pyrolytic graphite against gravity, demonstrating the fascinating phenomenon known as the magician's paradox.
The second statement, "If a magnet shatters into many small pieces, all the pieces will have north and south poles," is also true. Magnetic poles always come in pairs, so when a magnet breaks, each fragment will have its own north and south pole. Similar to the law of magnetism, like poles repel and unlike poles attract, a foundational principle in understanding magnetic interactions.