Why Going Faster-Than-Light Leads to Time Paradoxes

Is faster-than-light (FTL) travel possible? In most discussions of this, we get hung up on the physics of particular ideas, such as wormholes or warp drives. But today, we take a more zoomed out approach that addresses all FTL propulsion - as well as FTL messaging. Because it turns out that they all allow for time travel.